<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article">
 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">
    gep
   </journal-id>
   <journal-title-group>
    <journal-title>
     Journal of Geoscience and Environment Protection
    </journal-title>
   </journal-title-group>
   <issn pub-type="epub">
    2327-4336
   </issn>
   <issn publication-format="print">
    2327-4344
   </issn>
   <publisher>
    <publisher-name>
     Scientific Research Publishing
    </publisher-name>
   </publisher>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="doi">
    10.4236/gep.2025.137004
   </article-id>
   <article-id pub-id-type="publisher-id">
    gep-143938
   </article-id>
   <article-categories>
    <subj-group subj-group-type="heading">
     <subject>
      Articles
     </subject>
    </subj-group>
    <subj-group subj-group-type="Discipline-v2">
     <subject>
      Earth 
     </subject>
     <subject>
       Environmental Sciences
     </subject>
    </subj-group>
   </article-categories>
   <title-group>
    Influence of Physical Properties on the Mechanical Behavior of Foundation Soils: Case of Soils from Fokoué-Centre
   </title-group>
   <contrib-group>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Eric Donald Teikeu
      </surname>
      <given-names>
       Ngueveu
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff1"> 
      <sup>1</sup>
     </xref>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Jean Victor
      </surname>
      <given-names>
       Kenfack
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff1"> 
      <sup>1</sup>
     </xref>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Théophile
      </surname>
      <given-names>
       Njanko
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff1"> 
      <sup>1</sup>
     </xref> 
     <xref ref-type="aff" rid="aff2"> 
      <sup>2</sup>
     </xref>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Thiery Blondel Suffeu
      </surname>
      <given-names>
       Talla
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff1"> 
      <sup>1</sup>
     </xref>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Bertol Victor Franclin Nouwa
      </surname>
      <given-names>
       Ngouateu
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff1"> 
      <sup>1</sup>
     </xref>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Stéphane Tchomtchoua
      </surname>
      <given-names>
       Tagne
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff1"> 
      <sup>1</sup>
     </xref>
    </contrib>
   </contrib-group> 
   <aff id="aff1">
    <addr-line>
     aDepartment of Earth Sciences, Faculty of Science, University of Dschang, West-Cameroon, Dschang, Cameroun
    </addr-line> 
   </aff> 
   <aff id="aff2">
    <addr-line>
     aMinistry of Scientific Research and Innovation, DPSP/CCAR, Yaoundé, Cameroon
    </addr-line> 
   </aff> 
   <pub-date pub-type="epub">
    <day>
     07
    </day> 
    <month>
     07
    </month>
    <year>
     2025
    </year>
   </pub-date> 
   <volume>
    13
   </volume> 
   <issue>
    07
   </issue>
   <fpage>
    69
   </fpage>
   <lpage>
    86
   </lpage>
   <history>
    <date date-type="received">
     <day>
      11,
     </day>
     <month>
      May
     </month>
     <year>
      2025
     </year>
    </date>
    <date date-type="published">
     <day>
      8,
     </day>
     <month>
      May
     </month>
     <year>
      2025
     </year> 
    </date> 
    <date date-type="accepted">
     <day>
      8,
     </day>
     <month>
      July
     </month>
     <year>
      2025
     </year> 
    </date>
   </history>
   <permissions>
    <copyright-statement>
     © Copyright 2014 by authors and Scientific Research Publishing Inc. 
    </copyright-statement>
    <copyright-year>
     2014
    </copyright-year>
    <license>
     <license-p>
      This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/
     </license-p>
    </license>
   </permissions>
   <abstract>
    Soil investigation prior to construction is a crucial step to ensure the stability and durability of foundations. This study aims to analyze the influence of physical properties on the mechanical behavior of foundation-bearing soils in the Fokoué-Centre area, Western Cameroon. To achieve this objective, soil samples were collected at depths between 50 and 80 cm, followed by dynamic penetrometer testing up to approximately 640 cm to determine dynamic resistance. A Principal Component Analysis (PCA) was then conducted to explore the various physico-mechanical parameters obtained, including ω, ρs, % fines, ωL, ωP, IP, n, and σall. The GTR classification system categorizes the studied soils into three subgroups: i) A3 – low-density clayey-silty soils with high moisture content and abundant fine fraction; ii) A2 – silty-sandy fine soils with moderate water and fine content; and iii) B6 – denser silty gravelly soils with low water and fine content. Mechanically, the soils present allowable bearing pressures ranging from 0.12 to 1.07 bars in clayey soils, 0.77 to 2.3 bars in fine sandy soils, 2.5 to 5.2 bars in lateritic gravelly soils, and over 5.84 bars in cuirass layers. Correlation analysis reveals a significant influence of water content (ω), specific gravity (ρs), fine fraction percentage (% fines), and porosity (n) on the allowable bearing pressure (σall), whereas consistency parameters such as ωL, ωP, and IP appear to have minimal effect. This finding indicates that the mechanical behavior alone should not be the sole criterion for ensuring the stability and durability of structures, particularly those built on Fokoué soils.
   </abstract>
   <kwd-group> 
    <kwd>
     Physical Properties
    </kwd> 
    <kwd>
      Mechanical Behavior
    </kwd> 
    <kwd>
      Foundation Soils
    </kwd> 
    <kwd>
      Fokoué
    </kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <sec id="s1">
   <title>1. Introduction</title>
   <p>
    <xref ref-type="bibr" rid="scirp.143938-"></xref>Foundation systems are essential structures that transfer loads from buildings and infrastructures to the underlying soil and subsoil layers. Understanding the characteristics of bearing soils, including their composition, texture, and mechanical behavior, is critical to ensuring the stability and durability of foundation systems (<xref ref-type="bibr" rid="scirp.143938-24">
     Manefouet, 2016
    </xref>; <xref ref-type="bibr" rid="scirp.143938-12">
     Demanou Messe, 2022
    </xref>). Moreover, poor foundations often cause more concern than any other structural deficiency. It is generally just as easy to build a good foundation as it is a bad one, hence the necessity of knowing the properties of the soil on which a structure is built (<xref ref-type="bibr" rid="scirp.143938-19">
     Jacquard &amp; Boutet, 2016
    </xref>). In this context, it is essential to understand the influence of physical properties on the mechanical behavior of soils—such as strength or bearing capacity—to guarantee the stability of foundations (<xref ref-type="bibr" rid="scirp.143938-38">
     Peter, 2006
    </xref>; <xref ref-type="bibr" rid="scirp.143938-8">
     Chetti, 2021
    </xref>).</p>
   <p>However, soils are complex and heterogeneous materials, and their mechanical behavior can be influenced by numerous factors, including organic matter content, groundwater level and its temporal variation, sensitivity to hydric changes (e.g., permeability and porosity, moisture content, Atterberg limits or methylene blue value, possible mineralogical analysis), as well as the configuration of the foundation type (<xref ref-type="bibr" rid="scirp.143938-21">
     Jusoh &amp; Osman, 2017
    </xref>). Difficulties in characterizing the physical properties of soils and predicting their mechanical behavior can lead to design and construction errors, which may compromise the stability and longevity of engineering structures.</p>
   <p>Numerous studies have addressed the relationships between soil characteristics, particularly between physical and electrical properties (<xref ref-type="bibr" rid="scirp.143938-10">
     Cosenza et al., 2006
    </xref>; <xref ref-type="bibr" rid="scirp.143938-7">
     Charlery et al., 2006
    </xref>; <xref ref-type="bibr" rid="scirp.143938-21">
     Jusoh &amp; Osman, 2017
    </xref>), mechanical and electrical properties (<xref ref-type="bibr" rid="scirp.143938-12">
     Demanou Messe, 2022
    </xref>; <xref ref-type="bibr" rid="scirp.143938-13">
     Demanou Messe et al., 2022
    </xref>; <xref ref-type="bibr" rid="scirp.143938-33">
     Nouwa Ngouateu et al., 2024
    </xref>), and mineralogical and/or geochemical and geotechnical properties (<xref ref-type="bibr" rid="scirp.143938-45">
     Zagalo et al., 2017
    </xref>). However, the influence of physical properties on mechanical behavior remains insufficiently addressed. <xref ref-type="bibr" rid="scirp.143938-45">
     Zagalo et al. (2017)
    </xref> established correlations between geotechnical soil properties but in different geological contexts.</p>
   <p>Within this framework, accounting for the impact of physical characteristics during soil investigation is essential to improving the design and construction of civil engineering works. The aim of this study is to identify the most influential physical properties affecting the mechanical behavior of soils in general—and specifically in the Fokoué region—in order to develop more accurate characterization and predictive methodologies.</p>
  </sec><sec id="s2">
   <title>2. Natural Setting of the Study Area</title>
   <p>The study area, located in the Fokoué subdivision (Western Cameroon) (<xref ref-type="fig" rid="fig1">
     Figure 1
    </xref>), is characterized by varied geomorphology, including mountains and hills that dominate the landscape, with altitudes reaching up to 1800 meters. The regional geology consists of volcanic rocks overlying a granito-gneissic basement (<xref ref-type="bibr" rid="scirp.143938-22">
     Kwekam, 2005
    </xref>; <xref ref-type="bibr" rid="scirp.143938-32">
     Njanko et al., 2010
    </xref>; <xref ref-type="bibr" rid="scirp.143938-16">
     Fozing et al., 2019
    </xref>; <xref ref-type="bibr" rid="scirp.143938-11">
     Delor et al., 2021
    </xref>), which has been shaped by tectonic and erosional processes over millions of years.</p>
   <fig id="fig1" position="float">
    <label>Figure 1</label>
    <caption>
     <title>Figure 1. Geographic location: (a) Cameroon, (b) Fokoué District, (c) Study area.</title>
    </caption>
    <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/2173408-rId21.jpeg?20250711112105" />
   </fig>
   <p>The climate in the study area is tropical, with high temperatures (average of 20.4˚C) and abundant rainfall (1782.3 mm/year) (IRAD de Dschang, 2005-2016). The hydrographic network is marked by several watercourses, including the Zhang and Mezoung rivers, which traverse the study zone.</p>
   <p>The soils found in the Fokoué subdivision, and more specifically in the area under study, are derived from various parent rocks. These soils are predominantly ferralitic and ferruginous resulting from prolonged weathering and evolution of the alteration products of these rocks.</p>
  </sec><sec id="s3">
   <title>3. Methodology of the Study</title>
   <sec id="s3_1">
    <title>3.1. Geotechnical Testing</title>
    <p>A field campaign was essential for material identification using the <xref ref-type="bibr" rid="scirp.143938-23">
      Maignien (1980)
     </xref> method. Three main soil types were identified: lateritic gravelly soils, fine sandy soils with varying clay content, and fine clayey soils.</p>
    <p>Regardless of the intended use of the soil, it is crucial to understand its nature, composition, and particle size distribution (<xref ref-type="bibr" rid="scirp.143938-24">
      Manefouet, 2016
     </xref>; <xref ref-type="bibr" rid="scirp.143938-5">
      Boutahir, 2018
     </xref>). A total of thirty disturbed soil samples were collected using manual auger drilling (targeted sampling strategy—STM) and transported to the laboratory for physical characterization.</p>
    <p>The natural water content of the studied soils was determined using the successive weighing method before and after drying at 105˚C, in accordance with standard <xref ref-type="bibr" rid="scirp.143938-27">
      NF P 94-050 (1995)
     </xref>. The specific gravity of the soil grains was determined using a pycnometer, following standard <xref ref-type="bibr" rid="scirp.143938-29">
      NF P 94–054 (1991)
     </xref>. The consistency of the soils was assessed based on the Atterberg limits. The liquid limit (ωL) was determined using the Casagrande apparatus, and the plastic limit (ωP) was obtained using the rolling method. These Atterberg limits were measured following standard <xref ref-type="bibr" rid="scirp.143938-28">
      NF P 94-051 (1993)
     </xref>, and the plasticity index (IP) was calculated as the difference between ωL and ωP. Particle size distribution was performed by dry sieving after washing, according to the procedures of standard <xref ref-type="bibr" rid="scirp.143938-30">
      NF P 94-056 (1996)
     </xref>. The void ratio and porosity were calculated using established relationships among the various physical characteristics of the soils.</p>
   </sec>
   <sec id="s3_2">
    <title>3.2. In Situ Geotechnical Testing</title>
    <p>In this study, a light dynamic penetrometer with constant energy was used as the geotechnical investigation tool, in compliance with <xref ref-type="bibr" rid="scirp.143938-15">
      EN ISO 22476-2 (2005)
     </xref>. The light dynamic penetrometer test is a soil investigation method that evaluates the terrain and provides a characteristic soil parameter (<xref ref-type="bibr" rid="scirp.143938-2">
      Afnor, 1990
     </xref>). This test allows a qualitative assessment of the resistance of the traversed layers.</p>
    <p>The dynamic resistance to failure Qd (kg/cm<sup>2</sup>) at the penetrometer tip is expressed using the Dutch formula:</p>
    <p>
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <mi>
         Q 
       </mi> 
       <mi>
         d 
       </mi> 
       <mo>
         = 
       </mo> 
       <mfrac> 
        <mrow> 
         <msup> 
          <mi>
            M 
          </mi> 
          <mn>
            2 
          </mn> 
         </msup> 
         <mo>
           × 
         </mo> 
         <mi>
           H 
         </mi> 
         <mo>
           × 
         </mo> 
         <mi>
           g 
         </mi> 
        </mrow> 
        <mrow> 
         <mi>
           A 
         </mi> 
         <mo>
           × 
         </mo> 
         <mi>
           e 
         </mi> 
        </mrow> 
       </mfrac> 
       <mo>
         × 
       </mo> 
       <mfrac> 
        <mn>
          1 
        </mn> 
        <mrow> 
         <mi>
           M 
         </mi> 
         <mo>
           + 
         </mo> 
         <msup> 
          <mi>
            M 
          </mi> 
          <mo>
            ′ 
          </mo> 
         </msup> 
        </mrow> 
       </mfrac> 
      </mrow> 
     </math> (1)</p>
    <p>
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <mi>
         e 
       </mi> 
       <mo>
         = 
       </mo> 
       <mrow> 
        <mi>
          h 
        </mi> 
        <mo>
          / 
        </mo> 
        <mi>
          N 
        </mi> 
       </mrow> 
      </mrow> 
     </math> (2)</p>
    <p>where:</p>
    <p>
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <mi>
         Q 
       </mi> 
       <mi>
         d 
       </mi> 
      </mrow> 
     </math>: tip resistance (MPa or kg/cm<sup>2</sup>);</p>
    <p>M: hammer mass (kg);</p>
    <p>H: drop height of the hammer (m);</p>
    <p>g: gravitational acceleration (m/s<sup>2</sup>);</p>
    <p>M′: mass of the struck components (kg);</p>
    <p>A: cross-sectional area of the tip (m<sup>2</sup>);</p>
    <p>e: penetration per blow (m);</p>
    <p>N: number of blows;</p>
    <p>h: total penetration depth (m).</p>
    <p>The allowable stress σ all of the foundation soils under the Service ability Limit State (SLS) was specifically assessed using the following formula (<xref ref-type="bibr" rid="scirp.143938-41">
      Sanglerat, 1965
     </xref>):</p>
    <p>
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <msub> 
        <mi>
          σ 
        </mi> 
        <mrow> 
         <mi>
           a 
         </mi> 
         <mi>
           d 
         </mi> 
         <mi>
           m 
         </mi> 
        </mrow> 
       </msub> 
       <mo>
         = 
       </mo> 
       <mfrac> 
        <mrow> 
         <msub> 
          <mi>
            Q 
          </mi> 
          <mi>
            d 
          </mi> 
         </msub> 
        </mrow> 
        <mi>
          s 
        </mi> 
       </mfrac> 
      </mrow> 
     </math> (3)</p>
    <p>where s is the safety factor.</p>
    <p>The safety factor used to derive allowable stress from dynamic resistance is 20, which incorporates a global safety factor of 3 and a reduction coefficient of 6.6 (<xref ref-type="bibr" rid="scirp.143938-45">
      Zagalo et al., 2017
     </xref>).</p>
   </sec>
   <sec id="s3_3">
    <title>3.3. Principal Component Analysis (PCA)</title>
    <p>The geotechnical parameters measured both in situ and in the laboratory display substantial variability, which can lead to uncertainties in selecting representative values and in the accuracy of final geotechnical calculations (<xref ref-type="bibr" rid="scirp.143938-42">
      Saporta &amp; Niang, 2003
     </xref>). This approach relies on examining the relationships between the measured parameters in order to highlight the influence of physical properties on the dynamic resistance of soils—a critical factor in structural design.</p>
    <p>PCA graphically displays the differences and/or similarities among samples subjected to selected analytical conditions (<xref ref-type="bibr" rid="scirp.143938-9">
      Cordella, 2010
     </xref>; <xref ref-type="bibr" rid="scirp.143938-4">
      Annad &amp; Lefkir, 2022
     </xref>). Samples with similar characteristics cluster together to form more or less distinct aggregates. In this work, the XLSTAT 2018 software was used to generate graphical representations and data matrices.</p>
   </sec>
  </sec><sec id="s4">
   <title>
    <xref ref-type="bibr" rid="scirp.143938-"></xref>4. Results and Discussion</title>
   <p>The results of the physical and mechanical analyses (<xref ref-type="table" rid="table1">
     Table 1
    </xref>) show variations in parameters from one soil sample to another.</p>
   <table-wrap id="table1">
    <label>
     <xref ref-type="table" rid="table1">
      Table 1
     </xref></label>
    <caption>
     <title>
      <xref ref-type="bibr" rid="scirp.143938-"></xref>Table 1. Summary of the geotechnical characteristics of the studied soils.</title>
    </caption>
    <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
     <tr> 
      <td class="custom-bottom-td acenter" width="8.82%"><p style="text-align:center"></p></td> 
      <td class="custom-bottom-td acenter" width="66.18%" colspan="12"><p style="text-align:center">Physical properties</p></td> 
      <td class="custom-bottom-td acenter" width="11.76%" colspan="2"><p style="text-align:center">GTR Classification</p></td> 
      <td class="custom-bottom-td acenter" width="13.22%"><p style="text-align:center">Mechanical parameter</p></td> 
     </tr> 
     <tr> 
      <td class="custom-bottom-td custom-top-td acenter" width="8.82%"><p style="text-align:center">Samples</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="8.26%" colspan="2"><p style="text-align:center">Water content (%)</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="8.28%"><p style="text-align:center">ρs (g/cm<sup>3</sup>)</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="9.92%" colspan="2"><p style="text-align:center">Percentage of fines (% fines)</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="7.94%"><p style="text-align:center">ωL</p><p style="text-align:center">(%)</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="7.94%" colspan="2"><p style="text-align:center">ωP</p><p style="text-align:center">(%)</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="7.94%"><p style="text-align:center">IP</p><p style="text-align:center">(%)</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="7.94%" colspan="2"><p style="text-align:center">Void ratio (e)</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="7.98%"><p style="text-align:center">Porosity (n)</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="11.76%" colspan="2"><p style="text-align:center">Subclasses</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="13.22%"><p style="text-align:center">Allowable stress σadm (bar)</p></td> 
     </tr> 
     <tr> 
      <td class="custom-top-td acenter" width="8.82%"><p style="text-align:center">ES01</p></td> 
      <td class="custom-top-td acenter" width="8.26%" colspan="2"><p style="text-align:center">24.02</p></td> 
      <td class="custom-top-td acenter" width="8.28%"><p style="text-align:center">2.76</p></td> 
      <td class="custom-top-td acenter" width="9.92%" colspan="2"><p style="text-align:center">55.03</p></td> 
      <td class="custom-top-td acenter" width="7.94%"><p style="text-align:center">73.08</p></td> 
      <td class="custom-top-td acenter" width="7.94%" colspan="2"><p style="text-align:center">50.75</p></td> 
      <td class="custom-top-td acenter" width="7.94%"><p style="text-align:center">22.05</p></td> 
      <td class="custom-top-td acenter" width="7.94%" colspan="2"><p style="text-align:center">0.66</p></td> 
      <td class="custom-top-td acenter" width="7.98%"><p style="text-align:center">40</p></td> 
      <td class="custom-top-td acenter" width="11.76%" colspan="2"><p style="text-align:center">A2</p></td> 
      <td class="custom-top-td acenter" width="13.22%"><p style="text-align:center">0.89</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="8.82%"><p style="text-align:center">ES02</p></td> 
      <td class="acenter" width="8.26%" colspan="2"><p style="text-align:center">46.77</p></td> 
      <td class="acenter" width="8.28%"><p style="text-align:center">2.62</p></td> 
      <td class="acenter" width="9.92%" colspan="2"><p style="text-align:center">82.35</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">53.4</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">38.18</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">15.18</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">1.23</p></td> 
      <td class="acenter" width="7.98%"><p style="text-align:center">55</p></td> 
      <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">A2</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">0.2</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="8.82%"><p style="text-align:center">ES03</p></td> 
      <td class="acenter" width="8.26%" colspan="2"><p style="text-align:center">13.61</p></td> 
      <td class="acenter" width="8.28%"><p style="text-align:center">3.15</p></td> 
      <td class="acenter" width="9.92%" colspan="2"><p style="text-align:center">23.33</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">58</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">32.051</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">25.94</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">0.43</p></td> 
      <td class="acenter" width="7.98%"><p style="text-align:center">30</p></td> 
      <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">B6</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">1.57</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="8.82%"><p style="text-align:center">ES04</p></td> 
      <td class="acenter" width="8.26%" colspan="2"><p style="text-align:center">27.21</p></td> 
      <td class="acenter" width="8.28%"><p style="text-align:center">2.71</p></td> 
      <td class="acenter" width="9.92%" colspan="2"><p style="text-align:center">66.4</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">56</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">36.39</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">19.6</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">0.74</p></td> 
      <td class="acenter" width="7.98%"><p style="text-align:center">42</p></td> 
      <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">A2</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">0.77</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="8.82%"><p style="text-align:center">ES05</p></td> 
      <td class="acenter" width="8.26%" colspan="2"><p style="text-align:center">43.56</p></td> 
      <td class="acenter" width="8.28%"><p style="text-align:center">2.53</p></td> 
      <td class="acenter" width="9.92%" colspan="2"><p style="text-align:center">80.25</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">63</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">32.56</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">30.437</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">1.10</p></td> 
      <td class="acenter" width="7.98%"><p style="text-align:center">52</p></td> 
      <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">A3</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">0.25</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="8.82%"><p style="text-align:center">ES06</p></td> 
      <td class="acenter" width="8.26%" colspan="2"><p style="text-align:center">25.79</p></td> 
      <td class="acenter" width="8.28%"><p style="text-align:center">2.76</p></td> 
      <td class="acenter" width="9.92%" colspan="2"><p style="text-align:center">51.1</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">75.25</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">55.71</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">20.59</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">0.71</p></td> 
      <td class="acenter" width="7.98%"><p style="text-align:center">42</p></td> 
      <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">A2</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">0.63</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="8.82%"><p style="text-align:center">ES07</p></td> 
      <td class="acenter" width="8.26%" colspan="2"><p style="text-align:center">46.96</p></td> 
      <td class="acenter" width="8.28%"><p style="text-align:center">2.57</p></td> 
      <td class="acenter" width="9.92%" colspan="2"><p style="text-align:center">85.42</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">63.2</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">31.19</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">32.01</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">1.21</p></td> 
      <td class="acenter" width="7.98%"><p style="text-align:center">55</p></td> 
      <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">A3</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">0.31</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="8.82%"><p style="text-align:center">ES08</p></td> 
      <td class="acenter" width="8.26%" colspan="2"><p style="text-align:center">14.65</p></td> 
      <td class="acenter" width="8.28%"><p style="text-align:center">3.28</p></td> 
      <td class="acenter" width="9.92%" colspan="2"><p style="text-align:center">5.54</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">62.6</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">40.06</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">22.5</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">0.48</p></td> 
      <td class="acenter" width="7.98%"><p style="text-align:center">32</p></td> 
      <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">B6</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">2.45</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="8.82%"><p style="text-align:center">ES09</p></td> 
      <td class="acenter" width="8.26%" colspan="2"><p style="text-align:center">23.19</p></td> 
      <td class="acenter" width="8.28%"><p style="text-align:center">2.79</p></td> 
      <td class="acenter" width="9.92%" colspan="2"><p style="text-align:center">59.4</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">64</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">44.573</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">19.43</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">0.65</p></td> 
      <td class="acenter" width="7.98%"><p style="text-align:center">39</p></td> 
      <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">A2</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">0.47</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="8.82%"><p style="text-align:center">ES10</p></td> 
      <td class="acenter" width="8.26%" colspan="2"><p style="text-align:center">45.06</p></td> 
      <td class="acenter" width="8.28%"><p style="text-align:center">2.67</p></td> 
      <td class="acenter" width="9.92%" colspan="2"><p style="text-align:center">88.79</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">75.9</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">43.67</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">32.23</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">1.20</p></td> 
      <td class="acenter" width="7.98%"><p style="text-align:center">55</p></td> 
      <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">A3</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">0.3</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="8.82%"><p style="text-align:center">ES11</p></td> 
      <td class="acenter" width="8.26%" colspan="2"><p style="text-align:center">14.58</p></td> 
      <td class="acenter" width="8.28%"><p style="text-align:center">2.85</p></td> 
      <td class="acenter" width="9.92%" colspan="2"><p style="text-align:center">10.4</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">44.4</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">26.11</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">18.29</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">0.42</p></td> 
      <td class="acenter" width="7.98%"><p style="text-align:center">29</p></td> 
      <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">B6</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">1.25</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="8.82%"><p style="text-align:center">ES12</p></td> 
      <td class="acenter" width="8.26%" colspan="2"><p style="text-align:center">22.81</p></td> 
      <td class="acenter" width="8.28%"><p style="text-align:center">2.74</p></td> 
      <td class="acenter" width="9.92%" colspan="2"><p style="text-align:center">41.08</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">71.4</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">47.22</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">24.18</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">0.63</p></td> 
      <td class="acenter" width="7.98%"><p style="text-align:center">38</p></td> 
      <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">A2</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">0.79</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="8.82%"><p style="text-align:center">ES13</p></td> 
      <td class="acenter" width="8.26%" colspan="2"><p style="text-align:center">21.56</p></td> 
      <td class="acenter" width="8.28%"><p style="text-align:center">2.88</p></td> 
      <td class="acenter" width="9.92%" colspan="2"><p style="text-align:center">58.57</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">62</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">39.1</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">22.89</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">0.62</p></td> 
      <td class="acenter" width="7.98%"><p style="text-align:center">38</p></td> 
      <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">A2</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">1.14</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="8.82%"><p style="text-align:center">ES14</p></td> 
      <td class="acenter" width="8.26%" colspan="2"><p style="text-align:center">25.58</p></td> 
      <td class="acenter" width="8.28%"><p style="text-align:center">2.73</p></td> 
      <td class="acenter" width="9.92%" colspan="2"><p style="text-align:center">51.76</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">61.2</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">45.8</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">15.39</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">0.70</p></td> 
      <td class="acenter" width="7.98%"><p style="text-align:center">41</p></td> 
      <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">A2</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">0.46</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="8.82%"><p style="text-align:center">ES15</p></td> 
      <td class="acenter" width="8.26%" colspan="2"><p style="text-align:center">21.72</p></td> 
      <td class="acenter" width="8.28%"><p style="text-align:center">2.73</p></td> 
      <td class="acenter" width="9.92%" colspan="2"><p style="text-align:center">69.15</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">64.04</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">43.4</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">20.65</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">0.59</p></td> 
      <td class="acenter" width="7.98%"><p style="text-align:center">37</p></td> 
      <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">A2</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">0.75</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="8.82%"><p style="text-align:center">ES16</p></td> 
      <td class="acenter" width="8.26%" colspan="2"><p style="text-align:center">26.88</p></td> 
      <td class="acenter" width="8.28%"><p style="text-align:center">2.68</p></td> 
      <td class="acenter" width="9.92%" colspan="2"><p style="text-align:center">51</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">85.8</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">49.7</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">36.13</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">0.72</p></td> 
      <td class="acenter" width="7.98%"><p style="text-align:center">42</p></td> 
      <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">A2</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">0.63</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="8.82%"><p style="text-align:center">ES17</p></td> 
      <td class="acenter" width="8.26%" colspan="2"><p style="text-align:center">14.58</p></td> 
      <td class="acenter" width="8.28%"><p style="text-align:center">2.85</p></td> 
      <td class="acenter" width="9.92%" colspan="2"><p style="text-align:center">3.51</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">55</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">37.71</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">17.31</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">0.42</p></td> 
      <td class="acenter" width="7.98%"><p style="text-align:center">29</p></td> 
      <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">B6</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">1.51</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="8.82%"><p style="text-align:center">ES18</p></td> 
      <td class="acenter" width="8.26%" colspan="2"><p style="text-align:center">31.38</p></td> 
      <td class="acenter" width="8.28%"><p style="text-align:center">3.03</p></td> 
      <td class="acenter" width="9.92%" colspan="2"><p style="text-align:center">17.32</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">55</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">39</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">16.39</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">0.95</p></td> 
      <td class="acenter" width="7.98%"><p style="text-align:center">49</p></td> 
      <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">B6</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">1.32</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="8.82%"><p style="text-align:center">ES19</p></td> 
      <td class="acenter" width="8.26%" colspan="2"><p style="text-align:center">30.3</p></td> 
      <td class="acenter" width="8.28%"><p style="text-align:center">3.21</p></td> 
      <td class="acenter" width="9.92%" colspan="2"><p style="text-align:center">18.93</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">48.4</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">41.7</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">12.17</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">0.97</p></td> 
      <td class="acenter" width="7.98%"><p style="text-align:center">49</p></td> 
      <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">B6</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">0.63</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="8.82%"><p style="text-align:center">ES20</p></td> 
      <td class="acenter" width="8.26%" colspan="2"><p style="text-align:center">12.32</p></td> 
      <td class="acenter" width="8.28%"><p style="text-align:center">3.12</p></td> 
      <td class="acenter" width="9.92%" colspan="2"><p style="text-align:center">7.32</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">53.8</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">43.5</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">10.27</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">0.38</p></td> 
      <td class="acenter" width="7.98%"><p style="text-align:center">28</p></td> 
      <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">B6</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">3.37</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="8.82%"><p style="text-align:center">ES21</p></td> 
      <td class="acenter" width="8.26%" colspan="2"><p style="text-align:center">28.05</p></td> 
      <td class="acenter" width="8.28%"><p style="text-align:center">3.07</p></td> 
      <td class="acenter" width="9.92%" colspan="2"><p style="text-align:center">10.3</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">53.8</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">40</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">13.06</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">0.86</p></td> 
      <td class="acenter" width="7.98%"><p style="text-align:center">46</p></td> 
      <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">B6</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">1.1</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="8.82%"><p style="text-align:center">ES22</p></td> 
      <td class="acenter" width="8.26%" colspan="2"><p style="text-align:center">48.8</p></td> 
      <td class="acenter" width="8.28%"><p style="text-align:center">2.71</p></td> 
      <td class="acenter" width="9.92%" colspan="2"><p style="text-align:center">90.5</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">61.52</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">34.4</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">27.12</p></td> 
      <td class="acenter" width="7.94%" colspan="2"><p style="text-align:center">1.32</p></td> 
      <td class="acenter" width="7.98%"><p style="text-align:center">57</p></td> 
      <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">A3</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">0.44</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="8.82%"><p style="text-align:center">ES23</p></td> 
      <td class="acenter" width="8.26%" colspan="2"><p style="text-align:center">15.74</p></td> 
      <td class="acenter" width="8.26%"><p style="text-align:center">2.99</p></td> 
      <td class="acenter" width="9.90%" colspan="2"><p style="text-align:center">9.01</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">61.2</p></td> 
      <td class="acenter" width="7.96%" colspan="2"><p style="text-align:center">41.6</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">19.62</p></td> 
      <td class="acenter" width="7.92%" colspan="2"><p style="text-align:center">0.47</p></td> 
      <td class="acenter" width="7.98%"><p style="text-align:center">32</p></td> 
      <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">B6</p></td> 
      <td class="acenter" width="13.16%"><p style="text-align:center">4.11</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="8.82%"><p style="text-align:center">ES24</p></td> 
      <td class="acenter" width="8.26%" colspan="2"><p style="text-align:center">37.37</p></td> 
      <td class="acenter" width="8.26%"><p style="text-align:center">2.55</p></td> 
      <td class="acenter" width="9.90%" colspan="2"><p style="text-align:center">87.74</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">68.85</p></td> 
      <td class="acenter" width="7.96%" colspan="2"><p style="text-align:center">40.2</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">28.6</p></td> 
      <td class="acenter" width="7.92%" colspan="2"><p style="text-align:center">0.95</p></td> 
      <td class="acenter" width="7.98%"><p style="text-align:center">49</p></td> 
      <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">A3</p></td> 
      <td class="acenter" width="13.16%"><p style="text-align:center">0.36</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="8.82%"><p style="text-align:center">ES25</p></td> 
      <td class="acenter" width="8.26%" colspan="2"><p style="text-align:center">45.7</p></td> 
      <td class="acenter" width="8.26%"><p style="text-align:center">2.61</p></td> 
      <td class="acenter" width="9.90%" colspan="2"><p style="text-align:center">95.8</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">66.1</p></td> 
      <td class="acenter" width="7.96%" colspan="2"><p style="text-align:center">40.1</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">26.02</p></td> 
      <td class="acenter" width="7.92%" colspan="2"><p style="text-align:center">1.19</p></td> 
      <td class="acenter" width="7.98%"><p style="text-align:center">54</p></td> 
      <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">A3</p></td> 
      <td class="acenter" width="13.16%"><p style="text-align:center">0.34</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="8.82%"><p style="text-align:center">ES26</p></td> 
      <td class="acenter" width="8.26%" colspan="2"><p style="text-align:center">36.35</p></td> 
      <td class="acenter" width="8.26%"><p style="text-align:center">2.85</p></td> 
      <td class="acenter" width="9.90%" colspan="2"><p style="text-align:center">82.1</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">65</p></td> 
      <td class="acenter" width="7.96%" colspan="2"><p style="text-align:center">38.3</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">26.7</p></td> 
      <td class="acenter" width="7.92%" colspan="2"><p style="text-align:center">1.04</p></td> 
      <td class="acenter" width="7.98%"><p style="text-align:center">51</p></td> 
      <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">A3</p></td> 
      <td class="acenter" width="13.16%"><p style="text-align:center">0.78</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="8.82%"><p style="text-align:center">ES27</p></td> 
      <td class="acenter" width="8.26%" colspan="2"><p style="text-align:center">53.13</p></td> 
      <td class="acenter" width="8.26%"><p style="text-align:center">2.55</p></td> 
      <td class="acenter" width="9.90%" colspan="2"><p style="text-align:center">95.05</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">76.6</p></td> 
      <td class="acenter" width="7.96%" colspan="2"><p style="text-align:center">49.9</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">26.6</p></td> 
      <td class="acenter" width="7.92%" colspan="2"><p style="text-align:center">1.36</p></td> 
      <td class="acenter" width="7.98%"><p style="text-align:center">58</p></td> 
      <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">A3</p></td> 
      <td class="acenter" width="13.16%"><p style="text-align:center">0.15</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="8.82%"><p style="text-align:center">ES28</p></td> 
      <td class="acenter" width="8.26%" colspan="2"><p style="text-align:center">30.76</p></td> 
      <td class="acenter" width="8.26%"><p style="text-align:center">2.96</p></td> 
      <td class="acenter" width="9.90%" colspan="2"><p style="text-align:center">75.15</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">74.3</p></td> 
      <td class="acenter" width="7.96%" colspan="2"><p style="text-align:center">47.6</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">26.7</p></td> 
      <td class="acenter" width="7.92%" colspan="2"><p style="text-align:center">0.91</p></td> 
      <td class="acenter" width="7.98%"><p style="text-align:center">48</p></td> 
      <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">A3</p></td> 
      <td class="acenter" width="13.16%"><p style="text-align:center">0.92</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="8.82%"><p style="text-align:center">ES29</p></td> 
      <td class="acenter" width="8.26%" colspan="2"><p style="text-align:center">37.76</p></td> 
      <td class="acenter" width="8.26%"><p style="text-align:center">2.85</p></td> 
      <td class="acenter" width="9.90%" colspan="2"><p style="text-align:center">7.5</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">64.4</p></td> 
      <td class="acenter" width="7.96%" colspan="2"><p style="text-align:center">41.1</p></td> 
      <td class="acenter" width="7.94%"><p style="text-align:center">23.35</p></td> 
      <td class="acenter" width="7.92%" colspan="2"><p style="text-align:center">1.08</p></td> 
      <td class="acenter" width="7.98%"><p style="text-align:center">52</p></td> 
      <td class="acenter" width="11.76%" colspan="2"><p style="text-align:center">B6</p></td> 
      <td class="acenter" width="13.16%"><p style="text-align:center">1.13</p></td> 
     </tr> 
     <tr> 
      <td class="custom-bottom-td acenter" width="8.82%"><p style="text-align:center">ES30</p></td> 
      <td class="custom-bottom-td acenter" width="8.26%" colspan="2"><p style="text-align:center">24.3</p></td> 
      <td class="custom-bottom-td acenter" width="8.26%"><p style="text-align:center">2.74</p></td> 
      <td class="custom-bottom-td acenter" width="9.90%" colspan="2"><p style="text-align:center">64.2</p></td> 
      <td class="custom-bottom-td acenter" width="7.94%"><p style="text-align:center">53.2</p></td> 
      <td class="custom-bottom-td acenter" width="7.96%" colspan="2"><p style="text-align:center">37.2</p></td> 
      <td class="custom-bottom-td acenter" width="7.94%"><p style="text-align:center">16</p></td> 
      <td class="custom-bottom-td acenter" width="7.92%" colspan="2"><p style="text-align:center">0.67</p></td> 
      <td class="custom-bottom-td acenter" width="7.98%"><p style="text-align:center">40</p></td> 
      <td class="custom-bottom-td acenter" width="11.76%" colspan="2"><p style="text-align:center">A2</p></td> 
      <td class="custom-bottom-td acenter" width="13.16%"><p style="text-align:center">1.23</p></td> 
     </tr> 
     <tr> 
      <td class="custom-top-td acenter" width="99.92%" colspan="16"><p style="text-align:center">Descriptive statistics</p></td> 
     </tr> 
     <tr> 
      <td class="custom-bottom-td custom-top-td acenter" width="16.64%" colspan="2"><p style="text-align:center">Variables</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="16.54%" colspan="3"><p style="text-align:center">Observations</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="16.54%" colspan="3"><p style="text-align:center">Minimum</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="16.54%" colspan="3"><p style="text-align:center">Maximum</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="16.54%" colspan="3"><p style="text-align:center">Mean</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="17.10%" colspan="2"><p style="text-align:center">Standard deviation</p></td> 
     </tr> 
     <tr> 
      <td class="custom-top-td acenter" width="16.64%" colspan="2"><p style="text-align:center">water content (%)</p></td> 
      <td class="custom-top-td acenter" width="16.54%" colspan="3"><p style="text-align:center">30</p></td> 
      <td class="custom-top-td acenter" width="16.54%" colspan="3"><p style="text-align:center">12.32</p></td> 
      <td class="custom-top-td acenter" width="16.54%" colspan="3"><p style="text-align:center">53.13</p></td> 
      <td class="custom-top-td acenter" width="16.54%" colspan="3"><p style="text-align:center">29.68</p></td> 
      <td class="custom-top-td acenter" width="17.10%" colspan="2"><p style="text-align:center">11.93</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="16.64%" colspan="2"><p style="text-align:center">ρ<sub>s</sub> (g/cm<sup>3</sup>)</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">30</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">2.53</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">3.280</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">2.82</p></td> 
      <td class="acenter" width="17.10%" colspan="2"><p style="text-align:center">0.20</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="16.64%" colspan="2"><p style="text-align:center">(% fines)</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">30</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">3.51</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">95.800</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">51.47</p></td> 
      <td class="acenter" width="17.10%" colspan="2"><p style="text-align:center">32.14</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="16.64%" colspan="2"><p style="text-align:center">ωL (%)</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">30</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">44.40</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">85.800</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">63.02</p></td> 
      <td class="acenter" width="17.10%" colspan="2"><p style="text-align:center">9.29</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="16.64%" colspan="2"><p style="text-align:center">ωP (%)</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">30</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">26.11</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">55.710</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">40.96</p></td> 
      <td class="acenter" width="17.10%" colspan="2"><p style="text-align:center">6.41</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="16.64%" colspan="2"><p style="text-align:center">IP (%)</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">30</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">10.27</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">36.13</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">22.25</p></td> 
      <td class="acenter" width="17.10%" colspan="2"><p style="text-align:center">6.37</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="16.64%" colspan="2"><p style="text-align:center">e</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">30</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">0.38</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">1.36</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">0.82</p></td> 
      <td class="acenter" width="17.10%" colspan="2"><p style="text-align:center">0.3</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="16.64%" colspan="2"><p style="text-align:center">n</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">30</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">28</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">58</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">44</p></td> 
      <td class="acenter" width="17.10%" colspan="2"><p style="text-align:center">0.09</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="16.64%" colspan="2"><p style="text-align:center">σ<sub>all</sub> (bar)</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">30</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">0.15</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">4.11</p></td> 
      <td class="acenter" width="16.54%" colspan="3"><p style="text-align:center">1.01</p></td> 
      <td class="acenter" width="17.10%" colspan="2"><p style="text-align:center">0.90</p></td> 
     </tr> 
    </table>
   </table-wrap>
   <sec id="s4_1">
    <title>4.1. Physico-Mechanical Characterization of Soils</title>
    <p>Overall, the physical parameters studied across the various soil types show considerable variability. According to the <xref ref-type="bibr" rid="scirp.143938-17">
      GTR (2000)
     </xref> classification system, the soils are subdivided into three subcategories: fine clayey soils (A3), silty-sandy fine soils (A2), and clayey or silty lateritic gravel soils (B6).</p>
    <p>The natural water content ranges between 12.61% (on gravels materials) and 53.13% (on fines materials), with an average of 29.92%. The standard deviation and the coefficient of variation are 8.7 and 0.29, respectively. This variation in the water content of the samples can be explained by the role of the fine fraction in retaining water in the soil, and by the influence of the environment. Indeed, materials with low water content are proportionally coarser in grain size. An average value for natural water content in fine clayey soils is lower than the 48% reported by <xref ref-type="bibr" rid="scirp.143938-3">
      Ananfouet Djeufack (2012)
     </xref> in fine basaltic soils of Dschang and the 59.95% observed in the fine soils of Mouraye, Chad by <xref ref-type="bibr" rid="scirp.143938-45">
      Zagalo et al. (2017)
     </xref>. However, it is comparable to the values obtained by <xref ref-type="bibr" rid="scirp.143938-31">
      Ngapgue et al. (2008)
     </xref> in the fine soils of Bafoussam. The low water content (14.25%) is observed on some gravelly materials (ES03, ES08, ES11, ES17, ES20 and ES23) and for others, it is higher, at 31.87% (ES18, ES19, ES21 and ES29). The value of 14.25% is close to the 12.50% obtained by <xref ref-type="bibr" rid="scirp.143938-1">
      Aboubakar et al. (2025)
     </xref> on gravelly soils in Ngaoundal. These observations show that climatic and morphological conditions could also explain these variations in water content, with average annual precipitation of 1782.3 mm/year and altitudes of up to 1800 m.</p>
    <p>The specific gravity ρs of the materials ranges from 2.53 to 3.21 g/cm<sup>3</sup>, with an average value of 2.81 g/cm<sup>3</sup>. The data dispersion appears low, with a coefficient of variation of 0.06. The speciﬁc gravity values (2.53 - 3.21 g/cm<sup>3</sup>) indicate that these materials have good to excellent performance in road construction (<xref ref-type="bibr" rid="scirp.143938-34">
      Nwaiwu et al., 2006
     </xref>; <xref ref-type="bibr" rid="scirp.143938-37">
      Paige-Green et al., 2015
     </xref>), except for the samples (ES02, ES05, ES07 and ES10) with values &lt;2.60 g/cm<sup>3</sup>. This average value is close to those obtained by <xref ref-type="bibr" rid="scirp.143938-36">
      Onana et al. (2017)
     </xref> (2.69 and 2.81g/cm<sup>3</sup>) and<xref ref-type="bibr" rid="scirp.143938-34">
      Nzabakurikiza et al. (2016)
     </xref> (average ρs = 2.81 g/cm<sup>3</sup>) on gravelly materials. The high specific weight values would be linked to the pre-presence of ferromagnesian minerals and silica as observed by <xref ref-type="bibr" rid="scirp.143938-24">
      Manefouet (2016)
     </xref> on soils in the area. This observation confirms the findings of <xref ref-type="bibr" rid="scirp.143938-34">
      Nzabakurikiza et al. (2016)
     </xref>, who believe that a high speciﬁc gravity ρs value is due to the presence of iron. Since void ratio is directly related to the porosity, any increase in one will lead to an increase in the other. Consequently, the porosity of these soils varies from 28 to 58, with an average of 44, indicating that these soils are moderately porous overall. The standard deviation and the coefficient of variation are 0.08 and 0.18, respectively. The void ratio value is significantly lower (0.82) than the 1.38 reported by <xref ref-type="bibr" rid="scirp.143938-45">
      Zagalo et al. (2017)
     </xref>, and the values ranging from 7 to 14 observed by <xref ref-type="bibr" rid="scirp.143938-40">
      Rutledge (1944)
     </xref>, which represent extreme cases of materials with very high void ratios. These findings suggest that the soils analyzed in this study may exhibit relatively low compressibility.</p>
    <p>With respect to particle size distribution, gravels, sands, and particles smaller than 0.08 mm (silts and clays) are present in the samples (<xref ref-type="fig" rid="fig2(a)">
      Figure 2(a)
     </xref>). Gravel content varies between 0% and 72.94%, with an average of 24.06%; sand content ranges from 1.73% to 44.46% (mean: 21.62%); and fine particles range from 3.51% to 98.5%, with an average of 52.28%. The high proportion of coarse elements in the materials studied testifies to their extensive lateritization, with the presence of cuirasses in places. This percentage-age is close to the 74% obtained by <xref ref-type="bibr" rid="scirp.143938-24">
      Manefouet (2016)
     </xref> on gravelly soils developed on basalt, indicating that these soils were formed under the same geo-morphological conditions as those studied.</p>
    <p>The Atterberg limits reveal liquid limit values (ωL) ranging from 44.4% to 85.8% (mean: 63.01%), plastic limit values (ωP) from 26.11% to 55.71% (mean: 40.96%), and plasticity index values (IP) ranging from 10.27% to 36.13%, with an average of 22.25%. The plotting of IP and ωL values on the Casagrande plasticity chart (1948) indicates that the analyzed soil samples consist mainly of plastic to highly plastic silts, with the exception of samples ES11 (low plasticity clay) and ES19 (low plasticity silt) (<xref ref-type="fig" rid="fig2(b)">
      Figure 2(b)
     </xref>). The studied materials are clayey and highly plastic materials according to Casagrande plasticity chart. This high degree of plasticity and clayiness is due to the high kaolinite content.</p>
    <fig-group id="fig2" position="float">
     <fig id="fig2" position="float">
      <label>Figure 2</label>
      <caption>
       <title>Figure 2. Graphical representation of data: (a) Particle size distribution curves; (b) Casagrande plasticity chart (1948).--Figure 2. Graphical representation of data: (a) Particle size distribution curves; (b) Casagrande plasticity chart (1948).</title>
      </caption>
      <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/2173408-rId30.jpeg?20250711112112" />
     </fig>
     <fig id="fig2" position="float">
      <label>Figure 2</label>
      <caption>
       <title>Figure 2. Graphical representation of data: (a) Particle size distribution curves; (b) Casagrande plasticity chart (1948).--Figure 2. Graphical representation of data: (a) Particle size distribution curves; (b) Casagrande plasticity chart (1948).</title>
      </caption>
      <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/2173408-rId31.jpeg?20250711112112" />
     </fig>
    </fig-group>
    <p>A total of ninety (90) dynamic penetrometer test points were carried out at varying depths, reaching up to 6.40 meters. The resulting penetrometer logs (<xref ref-type="fig" rid="fig3">
      Figure 3
     </xref>) show the relatively contrasting mechanical behavior of the subsurface layers. Analysis of the penetrograms indicates that in fine soils, dynamic resistance values fluctuate between 0.2 and 1.5 MPa (<xref ref-type="fig" rid="figFigures 3(a)-(c)">
      Figures 3(a)-(c)
     </xref>); in fine sandy soils, they range from 0.2 to over 3 MPa (<xref ref-type="fig" rid="figFigures 3(d)-(f)">
      Figures 3(d)-(f)
     </xref>); and in lateritic gravelly soils, values are higher, ranging from 1 MPa to more than 11 MPa (<xref ref-type="fig" rid="fig3(g)">
      Figure 3(g)
     </xref> and <xref ref-type="fig" rid="fig3(h)">
      Figure 3(h)
     </xref>), and even higher in ferricrete horizons, where refusal was observed (<xref ref-type="fig" rid="fig3(i)">
      Figure 3(i)
     </xref>).</p>
    <fig-group id="fig3" position="float">
     <fig id="fig3" position="float">
      <label>Figure 3</label>
      <caption>
       <title>Figure 3. Sample penetrograms: (a)-(c) Clayey soils; (d)-(f) Silty-sandy fine soils; (g)-(i) Lateritic gravelly soils.--Figure 3. Sample penetrograms: (a)-(c) Clayey soils; (d)-(f) Silty-sandy fine soils; (g)-(i) Lateritic gravelly soils.</title>
      </caption>
      <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/2173408-rId32.jpeg?20250711112114" />
     </fig>
     <fig id="fig3" position="float">
      <label>Figure 3</label>
      <caption>
       <title>Figure 3. Sample penetrograms: (a)-(c) Clayey soils; (d)-(f) Silty-sandy fine soils; (g)-(i) Lateritic gravelly soils.--Figure 3. Sample penetrograms: (a)-(c) Clayey soils; (d)-(f) Silty-sandy fine soils; (g)-(i) Lateritic gravelly soils.</title>
      </caption>
      <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/2173408-rId33.jpeg?20250711112114" />
     </fig>
    </fig-group>
    <p>The lithological profile (<xref ref-type="table" rid="table2">
      Table 2
     </xref>), reveals a sequence of 3 to 5 distinct layers with various thinknesses. Overall, the allowable bearing pressures (σ<sub>all</sub>) across the different soil layers range from 0.12 bar to more than 5.84 bars, depending on depth. In clayey soils, allowable pressures vary between 0.12 and 1.07 bars. These values increase to between 0.77 and 2.3 bars in silty-sandy fine soils, and from 2.5 to 5.2 bars in lateritic gravelly soils, exceeding 5.84 bars in cuirass horizons. This increase in allowable bearing pressure may be attributed to several factors, including grain size distribution, soil compaction, and porosity (<xref ref-type="bibr" rid="scirp.143938-14">
      Dysli &amp; Bobelli, 2001
     </xref>; <xref ref-type="bibr" rid="scirp.143938-25">
      Martin, 2008
     </xref>). These findings on resistance differences based on granulometry are consistent with those reported by <xref ref-type="bibr" rid="scirp.143938-13">
      Demanou Messe et al. (2022)
     </xref> for similar lateritic soil types.</p>
    <table-wrap id="table2">
     <label>
      <xref ref-type="table" rid="table2">
       Table 2
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.143938-"></xref>Table 2. Lithological profile from selected penetrometer test points.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td acenter" width="15.53%"><p style="text-align:center">DPT</p></td> 
       <td class="custom-bottom-td acenter" width="16.89%"><p style="text-align:center">Layers</p></td> 
       <td class="custom-bottom-td acenter" width="16.89%"><p style="text-align:center">Depth (m)</p></td> 
       <td class="custom-bottom-td acenter" width="16.90%"><p style="text-align:center">Qd (MPa)</p></td> 
       <td class="custom-bottom-td acenter" width="16.89%"><p style="text-align:center">σall (bar)</p></td> 
       <td class="custom-bottom-td acenter" width="16.90%"><p style="text-align:center">Nature</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="100.00%" colspan="6"><p style="text-align:center">Clays soil</p></td> 
      </tr> 
      <tr> 
       <td rowspan="3" class="acenter" width="15.53%"><p style="text-align:center">DPT04</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">1</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0 - 0.5</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">0.78</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.39</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Top soil</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.89%"><p style="text-align:center">2</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.5 - 1.7</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">0.37</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.18</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Silty clay</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.89%"><p style="text-align:center">3</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">1.7 - 3.10</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">0.33</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.17</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Silty clay</p></td> 
      </tr> 
      <tr> 
       <td rowspan="4" class="acenter" width="15.53%"><p style="text-align:center">DPT05</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">1</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0 - 0.4</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">0.52</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.26</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Top soil</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.89%"><p style="text-align:center">2</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.4 - 1.1</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">0.64</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.32</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Silty clay</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.89%"><p style="text-align:center">3</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">1.1 - 2</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">0.35</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.18</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Clay</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.89%"><p style="text-align:center">4</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">2 - 2.6</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">0.47</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.24</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Silty clay</p></td> 
      </tr> 
      <tr> 
       <td rowspan="4" class="acenter" width="15.53%"><p style="text-align:center">DPT08</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">1</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0 - 0.4</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">0.35</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.18</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Top soil</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.89%"><p style="text-align:center">2</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.4 - 1.6</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">0.22</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.11</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Silty clay</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.89%"><p style="text-align:center">3</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">1.6 - 2.5</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">0.68</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.34</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Clay</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.89%"><p style="text-align:center">4</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">2.5 - 3.3</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">1.11</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.56</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Weathered rock</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="100.00%" colspan="6"><p style="text-align:center">Fines sand soil</p></td> 
      </tr> 
      <tr> 
       <td rowspan="5" class="acenter" width="15.53%"><p style="text-align:center">DPT27</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">1</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0 - 0.3</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">0.83</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.42</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Top soil</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.89%"><p style="text-align:center">2</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.3 - 1</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">0.48</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.24</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Silty sand</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.89%"><p style="text-align:center">3</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">1 - 2.4</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">0.28</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.14</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Sandy clay</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.89%"><p style="text-align:center">4</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">2.4 - 3.7</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">0.89</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.45</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Silty sand</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.89%"><p style="text-align:center">5</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">3.7 - 4.8</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">1.92</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.96</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Silty sand</p></td> 
      </tr> 
      <tr> 
       <td rowspan="5" class="acenter" width="15.53%"><p style="text-align:center">DPT32</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">1</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0 - 0.4</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">1.41</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.71</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Top soil</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.89%"><p style="text-align:center">2</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.4 - 2</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">0.53</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.27</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Sandy clay</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.89%"><p style="text-align:center">3</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">2 - 2.9</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">0.86</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.43</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Silty sand</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.89%"><p style="text-align:center">4</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">2.9 - 4.3</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">1.24</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.62</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Silty sand</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.89%"><p style="text-align:center">5</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">4.3 - 4.8</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">0.6</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.3</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Silty sand</p></td> 
      </tr> 
      <tr> 
       <td rowspan="5" class="acenter" width="15.53%"><p style="text-align:center">DPT31</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">1</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0 - 0.3</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">0.78</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.39</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Top soil</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.89%"><p style="text-align:center">2</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.3 - 1</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">0.63</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.32</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Silty sand</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.89%"><p style="text-align:center">3</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">1 - 2.1</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">0.32</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.18</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Sandy clay</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.89%"><p style="text-align:center">4</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">2.1 - 3.5</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">0.24</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.12</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Sandy clay</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.89%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">3.5 - 4.8</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">0.77</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.38</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Silty sand</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="100.00%" colspan="6"><p style="text-align:center">Lateritic gravel soil</p></td> 
      </tr> 
      <tr> 
       <td rowspan="3" class="acenter" width="15.53%"><p style="text-align:center">DPT02</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">1</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0 - 0.35</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">2.97</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">1.48</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Top soil</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.89%"><p style="text-align:center">2</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.35 - 1.1</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">5.13</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">2.57</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Silty gravel</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.89%"><p style="text-align:center">3</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">1.1 - 2.8</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">1.15</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.57</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Silty sand</p></td> 
      </tr> 
      <tr> 
       <td rowspan="3" class="acenter" width="15.53%"><p style="text-align:center">DPT03</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">1</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0 - 0.3</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">4.69</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">2.34</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Top soil</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.89%"><p style="text-align:center">2</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.3 - 0.8</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">6.2</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">3.1</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Silty gravel</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.89%"><p style="text-align:center">3</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.8 - 4.8</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">1.08</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.58</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Silty sand</p></td> 
      </tr> 
      <tr> 
       <td rowspan="3" class="acenter" width="15.53%"><p style="text-align:center">DPT55</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">1</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0 - 0.4</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">4.92</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">2.46</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Top soil</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.89%"><p style="text-align:center">2</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.4 - 0.8</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">10.49</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">5.24</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Silty gravel</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.89%"><p style="text-align:center">3</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">&gt; 0.8</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">&gt;10.49</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">&gt;5.24</p></td> 
       <td class="acenter" width="16.90%"><p style="text-align:center">Lateritic crusts</p></td> 
      </tr> 
     </table>
    </table-wrap>
   </sec>
   <sec id="s4_2">
    <title>4.2. Principal Component Analysis (PCA) between Geophysical and Physico-Mechanical Parameters</title>
    <p>The eigenvalue table for the extracted factors reveals two dominant factors among the nine identified. The factors selected must together account for at least 75% of the total variance. Factor 1 (F1) accounts for 57.87% and Factor 2 (F2) contributes 18.97% (<xref ref-type="table" rid="table3">
      Table 3
     </xref>), which justifies the retention of these two principal axes for analysis, as they represent more than half of the total explained variance. The remaining seven factors are considered residual.</p>
    <p>The contribution of the variables to each factor helps identify which parameters characterize each component. It is observed that water content (ω), fine fraction (%fines), porosity (n), and void ratio (e) contribute positively and predominantly to Factor 1 (<xref ref-type="table" rid="table4">
      Table 4
     </xref>). On the other hand, allowable stress (σall) and specific gravity (ρₛ) contribute most significantly—but inversely—to Factor 1. This indicates that Factor 1 is characterized by parameters related to the soil’s hydric state. The liquid limit (ωL), plastic limit (ωP), and plasticity index (IP) are weakly correlated with Factor 1, but contribute predominantly to Factor 2—with more than 80% influence—compared to other parameters (which are under 30%).</p>
    <table-wrap id="table3">
     <label>
      <xref ref-type="table" rid="table3">
       Table 3
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.143938-"></xref>Table 3. Eigenvalues of the extracted factors.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td acenter" width="14.84%"><p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="9.46%"><p style="text-align:center">F1</p></td> 
       <td class="custom-bottom-td acenter" width="9.46%"><p style="text-align:center">F2</p></td> 
       <td class="custom-bottom-td acenter" width="9.46%"><p style="text-align:center">F3</p></td> 
       <td class="custom-bottom-td acenter" width="9.46%"><p style="text-align:center">F4</p></td> 
       <td class="custom-bottom-td acenter" width="9.46%"><p style="text-align:center">F5</p></td> 
       <td class="custom-bottom-td acenter" width="9.46%"><p style="text-align:center">F6</p></td> 
       <td class="custom-bottom-td acenter" width="9.46%"><p style="text-align:center">F7</p></td> 
       <td class="custom-bottom-td acenter" width="9.46%"><p style="text-align:center">F8</p></td> 
       <td class="custom-bottom-td acenter" width="9.46%"><p style="text-align:center">F9</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="14.84%"><p style="text-align:center">Eigenvalue</p></td> 
       <td class="custom-top-td acenter" width="9.46%"><p style="text-align:center">5.208</p></td> 
       <td class="custom-top-td acenter" width="9.46%"><p style="text-align:center">1.707</p></td> 
       <td class="custom-top-td acenter" width="9.46%"><p style="text-align:center">0.891</p></td> 
       <td class="custom-top-td acenter" width="9.46%"><p style="text-align:center">0.654</p></td> 
       <td class="custom-top-td acenter" width="9.46%"><p style="text-align:center">0.327</p></td> 
       <td class="custom-top-td acenter" width="9.46%"><p style="text-align:center">0.196</p></td> 
       <td class="custom-top-td acenter" width="9.46%"><p style="text-align:center">0.013</p></td> 
       <td class="custom-top-td acenter" width="9.46%"><p style="text-align:center">0.004</p></td> 
       <td class="custom-top-td acenter" width="9.46%"><p style="text-align:center">0.001</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="14.84%"><p style="text-align:center">Variability (%)</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">57.867</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">18.967</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">9.898</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">7.261</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">3.630</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">2.174</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.148</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.046</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.007</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="14.84%"><p style="text-align:center">% cumulative</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">57.867</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">76.834</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">86.733</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">93.994</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">97.624</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">99.798</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">99.947</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">99.993</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">100.000</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <table-wrap id="table4">
     <label>
      <xref ref-type="table" rid="table4">
       Table 4
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.143938-"></xref>Table 4. Variable contributions to each principal component.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td acenter" width="14.80%"><p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="9.46%"><p style="text-align:center">F1</p></td> 
       <td class="custom-bottom-td acenter" width="9.46%"><p style="text-align:center">F2</p></td> 
       <td class="custom-bottom-td acenter" width="9.48%"><p style="text-align:center">F3</p></td> 
       <td class="custom-bottom-td acenter" width="9.46%"><p style="text-align:center">F4</p></td> 
       <td class="custom-bottom-td acenter" width="9.46%"><p style="text-align:center">F5</p></td> 
       <td class="custom-bottom-td acenter" width="9.48%"><p style="text-align:center">F6</p></td> 
       <td class="custom-bottom-td acenter" width="9.46%"><p style="text-align:center">F7</p></td> 
       <td class="custom-bottom-td acenter" width="9.46%"><p style="text-align:center">F8</p></td> 
       <td class="custom-bottom-td acenter" width="9.46%"><p style="text-align:center">F9</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="14.80%"><p style="text-align:center">ω (%)</p></td> 
       <td class="custom-top-td acenter" width="9.46%"><p style="text-align:center">0.926</p></td> 
       <td class="custom-top-td acenter" width="9.46%"><p style="text-align:center">−0.271</p></td> 
       <td class="custom-top-td acenter" width="9.48%"><p style="text-align:center">0.169</p></td> 
       <td class="custom-top-td acenter" width="9.46%"><p style="text-align:center">0.149</p></td> 
       <td class="custom-top-td acenter" width="9.46%"><p style="text-align:center">0.099</p></td> 
       <td class="custom-top-td acenter" width="9.48%"><p style="text-align:center">−0.059</p></td> 
       <td class="custom-top-td acenter" width="9.46%"><p style="text-align:center">−0.066</p></td> 
       <td class="custom-top-td acenter" width="9.46%"><p style="text-align:center">0.001</p></td> 
       <td class="custom-top-td acenter" width="9.46%"><p style="text-align:center">−0.015</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="14.80%"><p style="text-align:center">ρs</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">−0.784</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">−0.060</p></td> 
       <td class="acenter" width="9.48%"><p style="text-align:center">0.290</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.421</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">−0.246</p></td> 
       <td class="acenter" width="9.48%"><p style="text-align:center">0.243</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">−0.015</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.003</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">−0.002</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="14.80%"><p style="text-align:center">% fines</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.877</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.025</p></td> 
       <td class="acenter" width="9.48%"><p style="text-align:center">−0.156</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">−0.217</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.163</p></td> 
       <td class="acenter" width="9.48%"><p style="text-align:center">0.362</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.001</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.000</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.000</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="14.80%"><p style="text-align:center">ωL</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.547</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.819</p></td> 
       <td class="acenter" width="9.48%"><p style="text-align:center">−0.036</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.159</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">−0.021</p></td> 
       <td class="acenter" width="9.48%"><p style="text-align:center">−0.023</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">−0.004</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.046</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.001</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="14.80%"><p style="text-align:center">ωP</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.127</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.811</p></td> 
       <td class="acenter" width="9.48%"><p style="text-align:center">0.553</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">−0.139</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.032</p></td> 
       <td class="acenter" width="9.48%"><p style="text-align:center">−0.001</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">−0.003</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">−0.031</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">−0.001</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="14.80%"><p style="text-align:center">IP</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.654</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.350</p></td> 
       <td class="acenter" width="9.48%"><p style="text-align:center">−0.539</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.379</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">−0.116</p></td> 
       <td class="acenter" width="9.48%"><p style="text-align:center">−0.016</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.004</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">−0.032</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.000</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="14.80%"><p style="text-align:center">e</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.885</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">−0.308</p></td> 
       <td class="acenter" width="9.48%"><p style="text-align:center">0.264</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.221</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.039</p></td> 
       <td class="acenter" width="9.48%"><p style="text-align:center">−0.028</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">−0.026</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">−0.002</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.020</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="14.80%"><p style="text-align:center">n</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.893</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">−0.270</p></td> 
       <td class="acenter" width="9.48%"><p style="text-align:center">0.294</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.184</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">−0.011</p></td> 
       <td class="acenter" width="9.48%"><p style="text-align:center">−0.018</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.089</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.003</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">−0.006</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="14.80%"><p style="text-align:center">σ<sub>all</sub> (bar)</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">−0.800</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.105</p></td> 
       <td class="acenter" width="9.48%"><p style="text-align:center">−0.018</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.368</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.461</p></td> 
       <td class="acenter" width="9.48%"><p style="text-align:center">0.011</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.011</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">−0.002</p></td> 
       <td class="acenter" width="9.46%"><p style="text-align:center">0.000</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>The combined analysis of physical parameters and allowable stress (<xref ref-type="table" rid="table5">
      Table 5
     </xref>) shows strong correlations (R &gt; 0.6) between σ<sub>all</sub> and variables such as water content (r = −0.67), specific gravity (r = 0.66), porosity (r = −0.68), fine fraction percentage (r = −0.70), and void ratio e (r = −0.65). These results are consistent with the findings of <xref ref-type="bibr" rid="scirp.143938-44">
      Zagalo et al. (2022)
     </xref>. However, weak correlations (R &lt; 0.4) are found with Atterberg limits (ωL, ωP) and IP with r equal −0.30, −0.06 and −0.39 respectively, suggesting that plasticity has minimal and negative influence on the mechanical behavior of these soils. These observations on the weak influence of Atterberg parameters on dynamic strength are similar to those made by <xref ref-type="bibr" rid="scirp.143938-44">
      Zagalo et al. (2022)
     </xref> on Mouraye soils (ωL= 0.08, ωP = 0.13 and IP = 0.03). However, a material with a high Ip may be subject to significant volumetric variations linked to its clayey nature (<xref ref-type="bibr" rid="scirp.143938-26">
      Nadir, 2024
     </xref>). Consistency parameters are therefore essentially linked to the mineralogical composition, granularity, clay content, humidity and cohesion of the material. The materials studied are essentially plastic silty according to <xref ref-type="bibr" rid="scirp.143938-6">
      Casagrande’s (1948)
     </xref> abacus, which could explain the weak relationship observed between clay-related consistency and dynamic strength. The variable correlation circle (<xref ref-type="fig" rid="fig4(a)">
      Figure 4(a)
     </xref>) highlights their significance: Group 1 (σ<sub>all</sub> and ρs) lies opposite Group 2 (water content, fine fraction, and porosity). The relationships between these parameters and Factors F1 and F2 indicate that F1 likely represents the “material nature” of the soils, while F2 reflects “consistency”.</p>
    <table-wrap id="table5">
     <label>
      <xref ref-type="table" rid="table5">
       Table 5
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.143938-"></xref>Table 5. Correlation matrix of measured variables.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="acenter" width="9.99%"><p style="text-align:center">Variables</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">ω (%)</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">ρs</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">% fines</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">ωL</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">ωP</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">IP</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">e</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">n</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">σall (bar)</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="9.99%"><p style="text-align:center">ω (%)</p></td> 
       <td class="custom-top-td acenter" width="10.00%"><p style="text-align:center">1.00</p></td> 
       <td class="custom-top-td acenter" width="10.00%"><p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="10.00%"><p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="10.00%"><p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="10.00%"><p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="10.00%"><p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="10.00%"><p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="10.00%"><p style="text-align:center"></p></td> 
       <td class="custom-top-td acenter" width="10.00%"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="9.99%"><p style="text-align:center">ρs</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">−0.64</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">1.00</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="9.99%"><p style="text-align:center">% fines</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">0.74</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">−0.78</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">1.00</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="9.99%"><p style="text-align:center">ωL</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">0.30</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">−0.42</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">0.46</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">1.00</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="9.99%"><p style="text-align:center">ωP</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">−0.03</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">−0.05</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">0.08</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">0.69</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">1.00</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="9.99%"><p style="text-align:center">IP</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">0.47</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">−0.51</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">0.56</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">0.73</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">0.01</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">1.00</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="9.99%"><p style="text-align:center">e</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">0.99</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">−0.52</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">0.68</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">0.26</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">−0.02</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">0.41</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">1.00</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center"></p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="9.99%"><p style="text-align:center">n</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">0.97</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">−0.52</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">0.68</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">0.29</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">0.03</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">0.40</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">0.99</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">1.00</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center"></p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="9.99%"><p style="text-align:center">σ<sub>all</sub> (bar)</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">−0.67</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">0.66</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">−0.70</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">−0.30</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">−0.06</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">−0.39</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">−0.65</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">−0.68</p></td> 
       <td class="acenter" width="10.00%"><p style="text-align:center">1.00</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>Once the factors are identified, their meaning is clarified by projecting the variables and individual samples onto the factorial axes and analyzing their distribution (<xref ref-type="fig" rid="fig4(b)">
      Figure 4(b)
     </xref>). The sample projection reveals three distinct groups. Lot 1 mainly consists of gravelly soils, particularly highly plastic silty gravels (ES3, ES8, ES11, ES17, ES18, ES19, ES20, ES21, ES23, ES29); Lot 2 includes silty fine sands (ES01, ES04, ES06, ES09, ES12, ES13, ES14, ES15, ES16, ES30); and Lot 3 consists of highly plastic silty clays (ES02, ES05, ES07, ES10, ES22, ES24, ES25, ES26, ES27, ES28).</p>
    <fig id="fig4" position="float">
     <label>Figure 4</label>
     <caption>
      <title>Figure 4. Principal component analysis: (a) Variable correlation circle; (b) Graphical representation of soil samples and studied parameters.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/2173408-rId34.jpeg?20250711112115" />
    </fig>
    <p>The mechanical behavior of the soils appears particularly sensitive to variations in physical properties, especially water content and fine particle percentage. A classification of the soils based on strength is established using the <xref ref-type="bibr" rid="scirp.143938-39">
      Robertson (1990)
     </xref> soil classification chart, which is based on cone tip resistance (kg/cm<sup>2</sup>) as a function of sleeve friction (<xref ref-type="bibr" rid="scirp.143938-19">
      Jacquard &amp; Boutet, 2016
     </xref>).</p>
    <p>The modification of this chart into a diagram plotting dynamic resistance against fine fraction percentage (<xref ref-type="fig" rid="fig5">
      Figure 5
     </xref>), which influences rod penetration, reveals a distribution of sample points. The diagram produces a soil classification based on these parameters (dynamic resistance Qd – %Fines/Qd ratio). A decreasing trend in dynamic resistance illustrates the transition of materials from sands and gravelly clays to silts and clay-rich soils. This confirms the influence of physical parameters such as fine particle content on the dynamic resistance of soils. An increase in fine content—particularly clays with high water absorption capacity—leads to a decrease in the material’s dynamic resistance. This observation is in line with that made by <xref ref-type="bibr" rid="scirp.143938-20">
      Jurado Sastre et al. (2018)
     </xref> on the considerable influence of the proportion of fine fraction on dynamic resistance. Indeed, the high dynamic resistances observed progressively decrease from lateritic gravels to clays.</p>
    <fig id="fig5" position="float">
     <label>Figure 5</label>
     <caption>
      <title>Figure 5. Modified soil classification diagram based on <xref ref-type="bibr" rid="scirp.143938-39">
        Robertson (1990)
       </xref>.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/2173408-rId35.jpeg?20250711112115" />
    </fig>
   </sec>
   <sec id="s4_3">
    <title>4.3. Implications of Physical Property Influence in Engineering Design</title>
    <p>Neglecting the physical properties of soils in engineering design can lead to numerous consequences. Parameters such as water content, particle size distribution, and porosity may be key factors in the degradation of structures, as reported by <xref ref-type="bibr" rid="scirp.143938-20">
      Jusoh &amp; Osman (2017)
     </xref>. Settlement and landslides are examples of structural pathologies directly linked to soil characteristics and their physical properties. In addition, a reduction in the water content of a material considerably improves its mechanical properties, such as dynamic strength and dry density (<xref ref-type="bibr" rid="scirp.143938-14">
      Dysli &amp; Bombeli, 2001
     </xref>). The mechanical strength of a material depends essentially on its solid matrix, which is a function of its granularity. From these analyses, it emerges that soils with a high-water content, a considerable proportion of particles, high porosity and high plasticity have poor mechanical strength and could be prone to excessive settlement.</p>
    <p>Furthermore, a lack of understanding of subsurface property variability can result in short- and medium-term additional costs during project implementation. These may arise due to unforeseen hazards or structural damage stemming from inadequate adaptation of engineering designs to subsurface constraints (<xref ref-type="bibr" rid="scirp.143938-18">
      Guerrero, 2014
     </xref>; <xref ref-type="bibr" rid="scirp.143938-43">
      Sivelle, 2016
     </xref>).</p>
   </sec>
  </sec><sec id="s5">
   <title>5. Conclusion</title>
   <p>The choice of foundation type for structures is determined by the soil’s ability to bear the load imposed on it. Therefore, it is crucial to understand the mechanical behavior of the soil, which is an essential aspect for the design of foundations, more or less linked to surrounding physical conditions. The objective of this study was to characterize the dependence of the soil’s physical properties on its mechanical behavior for the soils of Fokoué. The physico-mechanical tests highlighted the heterogeneity and complexity of the soil through the significant variations observed in the collected data.</p>
   <p>Principal component analysis (PCA) and descriptive statistical analysis were performed between the various physical parameters determined in the laboratory and the in situ mechanical data. The analysis shows a strong influence of the physical properties on the mechanical behavior, with this influence described as a direct correlation for all the soil classes considered in this study. Water content, specific weight, granularity, and porosity are the parameters that most significantly affect the behavior, in contrast to consistency parameters, which have less of an impact on mechanical behavior. A more in-depth study of these consistency parameters could provide a better understanding of their impact on the foundation-bearing soils.</p>
  </sec><sec id="s6">
   <title>Declaration of Interest Statement</title>
   <p>The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.</p>
  </sec><sec id="s7">
   <title>Funding</title>
   <p>This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sector.</p>
  </sec>
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