<?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">IJG</journal-id><journal-title-group><journal-title>International Journal of Geosciences</journal-title></journal-title-group><issn pub-type="epub">2156-8359</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/ijg.2019.102011</article-id><article-id pub-id-type="publisher-id">IJG-90605</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Earth&amp;Environmental Sciences</subject></subj-group></article-categories><title-group><article-title>
 
 
  2.5D Modelling of Aeromagnetic Data and their Mining Implications over the Ngaoundere Area (Adamawa Province, Cameroon)
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Meying</surname><given-names>Arsène</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Gouet</surname><given-names>Daniel Hervé</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Ndougsa</surname><given-names>Mbarga Theophile</given-names></name><xref ref-type="aff" rid="aff3"><sup>3</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Ndam</surname><given-names>Njikam Mouhamed</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>Owono</surname><given-names>Amougou Olivier Ulrich Igor</given-names></name><xref ref-type="aff" rid="aff4"><sup>4</sup></xref></contrib></contrib-group><aff id="aff4"><addr-line>Department of Physics, Advanced Teacher’s Training College, University of Yaoundé I, Yaoundé, Cameroon</addr-line></aff><aff id="aff1"><addr-line>School of Geology and Mining Engineering, University of Ngaoundere, Meiganga, Cameroon</addr-line></aff><aff id="aff2"><addr-line>Department of Petroleum, Mining &amp;amp; Groundwater Resources Exploration, Faculty of Mines and Petroleum Industries, University of Maroua, Maroua, Cameroun</addr-line></aff><aff id="aff3"><addr-line>Postgraduate School of Science, Technologies &amp;amp; Geosciences, University of Yaoundé I, Yaoundé, Cameroon</addr-line></aff><pub-date pub-type="epub"><day>15</day><month>02</month><year>2019</year></pub-date><volume>10</volume><issue>02</issue><fpage>173</fpage><lpage>192</lpage><history><date date-type="received"><day>17,</day>	<month>December</month>	<year>2018</year></date><date date-type="rev-recd"><day>17,</day>	<month>February</month>	<year>2019</year>	</date><date date-type="accepted"><day>20,</day>	<month>February</month>	<year>2019</year></date></history><permissions><copyright-statement>&#169; 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><p>
 
 
  This study is based on the analysis and interpretation of aeromagnetic data using version 8.4 of the Geosoft
   
  Oasis Montaj
   
  Software, to map the subsurface or deep geological structures that affected the geological formations of the Ngaoundere
   
  area. The use of the standard aeromagnetic methods made it possible to draw up the maps of the residual magnetic field reduced to the equator (RTE), the horizontal gradient (HG), the analytical signal (AS) and that of the Euler solutions (ED) to find the main magnetic facies corresponding to these structures. The geological formations of the studied area thus appear to be intensely fractured by a NE-SW (N45&#176;E) and ENE-WSW (N70&#176;E) main orientation fault system, the depth of which has been estimated by combining the three-analytical methods HG, AS and ED. Advanced magmatic map analysis revealed dikes associated with vertical faults in the studied area. The development of an interpretative geological map taking into account the basic geology, the deep faults, the identified dikes and the mineralization index made it possible to extract a correlation between geological structures and mineralization of the studied area. The 2.5D modelling of two magnetic profiles plotted on the reduced residual map at the equator was performed to approximate the geometry and depth of the dikes
   
  sector, which are potential sources of mineralization here.
 
</p></abstract><kwd-group><kwd>Aeromagnetic Data</kwd><kwd> Analytical Methods</kwd><kwd> Faults</kwd><kwd> Mineralization</kwd><kwd> 2.5D  Modelling</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Since 1970, the Adamawa plateau in general and the studied area has been the subject of several geological studies by several authors, such as the studies conducted by Eno Belinga [<xref ref-type="bibr" rid="scirp.90605-ref1">1</xref>] , Dumont [<xref ref-type="bibr" rid="scirp.90605-ref2">2</xref>] , Ngounouno [<xref ref-type="bibr" rid="scirp.90605-ref3">3</xref>] , roughly covering petrography, geochemistry and tectonics in the study area. The results of these studies show that, on one hand, the basement of the studied area consisted mainly of gneiss and granite, the latter being crossed by granitoids and on the other hand, the major structures of the area had WSW-ENE (N70˚E), NE-SW (N45˚E) and NNE-SSW (N30˚E) orientations. Nevertheless, all these studies are superficial and do not therefore give sufficient information on the structures of the subsoil of the studied area. In addition to these studies, few geophysical studies, focused on gravimetric studies [<xref ref-type="bibr" rid="scirp.90605-ref4">4</xref>] - [<xref ref-type="bibr" rid="scirp.90605-ref9">9</xref>] were conducted in the Adamawa region. They consisted of processing and interpreting the gravity data acquired during various gravity campaigns carried out in the sixties over the Cameroonian territory. They aimed to provide additional information on the structuration and geodynamic evolution of the Adamawa plateau. The results from these gravimetric investigations show a fairly good correlation with the surface geology and the directions of the major structures identified here remained similar to the previous ones. Although the information obtained so far is already quite interesting, the scale of the data used in these studies (from 1/3,000,000 to 1/500,000) does not allow to have a little more detailed knowledge on geology and the mineralization of the study area as required by mineral exploration. Some additional information that could be derived from aeromagnetic data at scales, like the 1:50,000, would allow to have a much more detailed study. Based on the existence of aeromagnetic data coverage over the studied area, which comprises longitudes 12˚30' - 13˚30'E and latitudes 6˚45' - 7˚15'N, the present study is initiated to enhance the level of structural knowledge.</p><p>Aeromagnetic data have very often been used in the mining sector to detect areas of magnetic anomalies that may correspond to mineral concentration. They are currently widely used for geological land reconnaissance, especially in large areas where land or plant cover is important. The magnetic susceptibility technique from airborne data is therefore used to specify geological interpretations at regional scales. In the case of this study, the main objective is to produce a structural mapping from the aeromagnetic data of the studied area to highlight a correlation between the geological structures (faults, geological contacts) and the possible mineralization of the studied zone.</p><p>This study will therefore be unique in that research studies in the study area have so far consisted either of studying the general geology or measuring the average thickness of the earth’s crust. They therefore did not provide information on the potential sources of near surface anomalies that are generally important for mineral research. All the results that will come from this study will provide a basic document on the very solid study area to base further investigations in mineral research.</p></sec><sec id="s2"><title>2. Geologic and Tectonic Setting of Studied Area</title><p>The studied area covers an area of approximately 4647 Km<sup>2</sup>. It is limited by longitudes 12˚30' - 13˚30'East and latitudes 6˚45' - 7˚15'North. It’s a plateau area of altitudes between 875 m and 1325 m.</p><p>The Adamawa plateau is largely covered by large basaltic and basalto-andesitic volcanic effusions of essentially Tertiary age, which extend into the middle part of the southern moat [<xref ref-type="bibr" rid="scirp.90605-ref10">10</xref>] [<xref ref-type="bibr" rid="scirp.90605-ref11">11</xref>] [<xref ref-type="bibr" rid="scirp.90605-ref12">12</xref>] [<xref ref-type="bibr" rid="scirp.90605-ref13">13</xref>] . The basement of the study area is composed of granito-gneissic (<xref ref-type="fig" rid="fig1">Figure 1</xref>) intersected by granitoids between 652 and 612million years old [<xref ref-type="bibr" rid="scirp.90605-ref3">3</xref>] . According to Lasserre [<xref ref-type="bibr" rid="scirp.90605-ref14">14</xref>] , the region of Adamawa was the seat of intense volcanic activity in the Tertiary and Quaternary, favored by a major fracturing-orientated NW-SE and secondary accidents E-W affecting the basement around Ngaoundere. The Pan-African gneiss and granite units are crossed by mylonitic bands, the largest of which, with a general ENE-WSW orientation, marks out the southern edge of the Adamawa. This myloniticb and corresponds to an important zone of sub-vertical faults having played in the Pan-African [<xref ref-type="bibr" rid="scirp.90605-ref15">15</xref>] [<xref ref-type="bibr" rid="scirp.90605-ref16">16</xref>] . The Adamawa represents an axial mass consisting of Precambrian basement, raised during the Upper Cretaceous and Tertiary and in which, the Adamawa plateau is likened to a horst. This asymmetrical horst located in the Mobile Zone of Central Africa, is limited to the north by the Ngaoundere cliff and to the south by the Mb&#233;r&#233;-Dj&#233;rem moat, both oriented N70˚E (ENE-WSW) corresponding to the general direction of the Plateau [<xref ref-type="bibr" rid="scirp.90605-ref16">16</xref>] . It is located on the route of large-scale mylonitic accidents. After the Pan-African event, the basement was traversed by magmatic comets corresponding to the tertiary magmatic activity of the “Cameroon Line”. This alkaline magmatism is reflected on the Adamawa plateau by the establishment of felsic domes, and basaltic flows. According to some authors [<xref ref-type="bibr" rid="scirp.90605-ref3">3</xref>] [<xref ref-type="bibr" rid="scirp.90605-ref18">18</xref>] [<xref ref-type="bibr" rid="scirp.90605-ref19">19</xref>] [<xref ref-type="bibr" rid="scirp.90605-ref20">20</xref>] , the basement tectonics having played several times is responsible for its horst and graben structure.</p><p>This plateau has an altitude of 1100 m above sea level, with large basaltic flows accompanied by trachytes and trachyphonolites [<xref ref-type="bibr" rid="scirp.90605-ref3">3</xref>] [<xref ref-type="bibr" rid="scirp.90605-ref11">11</xref>] [<xref ref-type="bibr" rid="scirp.90605-ref12">12</xref>] .</p><p>A thematic map of the mineral resources of Cameroon published in 2001 by the Ministry of Mines, Water and Energy (MINMEE) shows several indices of mineralization (Gold, Aluminum, Germanium, Tin, Thermal springs) in the studied area (<xref ref-type="fig" rid="fig2">Figure 2</xref>). Part of the bauxite plateau of MinimMartap is perfectly superimposed on the Aluminum indices found in the south of the studied area (<xref ref-type="fig" rid="fig2">Figure 2</xref>).</p></sec><sec id="s3"><title>3. Materials and Methods</title><sec id="s3_1"><title>3.1. Origin of Aeromagnetic Data</title><p>The data set used in the present study was obtained an aeromagnetic survey covering some parts of the Cameroon territory [<xref ref-type="bibr" rid="scirp.90605-ref21">21</xref>] . This aeromagnetic survey was conducted in 1970 by Survair Limited (Ottawa) as part of a co-operative agreement between the Canadian and the Cameroon government. The flying height was 235 Meters, flight lines had a N135˚E direction with 750 meters interlines space and the recording sensitivity of the magnetometer used was than 0.5 nT [<xref ref-type="bibr" rid="scirp.90605-ref21">21</xref>] . After correction of the measurements due to the temporary variation of the magnetic field, the final report of Paterson et al. [<xref ref-type="bibr" rid="scirp.90605-ref21">21</xref>] was accompanied by magnetic maps. The digitization of these maps made it possible to have a data base of 1,396,268 measuring points for the entire studied area (4647 Km<sup>2</sup>). The total magnetic intensity (TMI) anomaly was deduced by subtracting the theoretical geomagnetic field or IGRF (International Geomagnetic Reference Field) at each station. This map was (<xref ref-type="fig" rid="fig3">Figure 3</xref>) made using a sampling rate of 0.01 degree (1.1 km).</p><p>Indeed, unlike the gravitational attraction field, which is vertical and always directed downwards, the magnetization field vector and the inductive field vector are generally inclined, thus causing an asymmetry in the shape of the anomalies. To correct this error, a reduction to the pole or the equator is often applied to the basic data. In the case of this study, given that Cameroon is moving from</p><p>low-latitude areas (−15˚ and 15˚), it was necessary to calculate the reduction at the equator in order to bring anomalies back into line with the structures which generates them, since any analysis of anomalies is somewhat influenced by the inclination of the magnetic field and that of the magnetization direction of the magnetic fields sources. This reduction filter is calculated by choosing a point located at the center of the magnetic anomaly map (13.028˚East and 7.04˚North) with inclination and declination values from the model of the normal or theoretical field of the magnetic anomaly map IGRF at January 1, 1970. From the TMI anomaly map (<xref ref-type="fig" rid="fig3">Figure 3</xref>), the one reduced to the equator (<xref ref-type="fig" rid="fig4">Figure 4</xref>) was carried out from the Magma module of the Geosoft Oasis Montaj software.</p></sec><sec id="s3_2"><title>3.2. Methods</title><p>A set of methods were used in the processing of the present aeromagnetic data. These included the gradient method, the analytic signal, the Euler deconvolution method, and modelling methods.</p><sec id="s3_2_1"><title>3.2.1. Horizontal Gradient</title><p>The horizontal gradient method is in many ways the simplest approach to estimate contact locations of the bodies at depths. The biggest advantage of the horizontal gradient method is its low sensitivity to the noise in the data because it only requires calculations of the two first-order horizontal derivatives of the field [<xref ref-type="bibr" rid="scirp.90605-ref22">22</xref>] [<xref ref-type="bibr" rid="scirp.90605-ref23">23</xref>] . If M is the magnetic field then the horizontal gradient magnitude (HGM) is given by Cordell et al. [<xref ref-type="bibr" rid="scirp.90605-ref24">24</xref>] [<xref ref-type="bibr" rid="scirp.90605-ref25">25</xref>] :</p><p>HGM ( x , y ) = ( ∂ M ∂ x ) 2 + ( ∂ M ∂ y ) 2 (1)</p><p>This function gives a peak anomaly above magnetic contacts under the following assumptions [<xref ref-type="bibr" rid="scirp.90605-ref22">22</xref>] : 1) the regional magnetic field is vertical, 2) the magnetizations are vertical, 3) the contacts are vertical, 4) the contacts are isolated, and</p><p>5) the sources are thick. Violations of the first four assumptions can lead to shifts of the peaks away from the contacts. Violations of the fifth assumption can lead to secondary peaks parallel to the contacts.</p></sec><sec id="s3_2_2"><title>3.2.2. Analytic Signal</title><p>Absolute analytic signal magnitude (ASM) according to [<xref ref-type="bibr" rid="scirp.90605-ref26">26</xref>] [<xref ref-type="bibr" rid="scirp.90605-ref27">27</xref>] [<xref ref-type="bibr" rid="scirp.90605-ref28">28</xref>] can be defined as the square root of the squared sum of the vertical and horizontal derivatives of the magnetic field as follows:</p><p>‖ ASM ( x , y ) ‖ = ( ∂ f ( x , y ) ∂ x ) 2 + ( ∂ f ( x , y ) ∂ y ) 2 + ( ∂ f ( x , y ) ∂ z ) 2 (2)</p><p>The advantage of this method of magnetic data enhancement is that its amplitude function is always positive and does not need any assumption of the direction of body magnetization [<xref ref-type="bibr" rid="scirp.90605-ref29">29</xref>] . In a manner identical to that used in the horizontal gradient method, peaks in the analytic signal amplitude are located. The maxima of the analytic signal can be used to detect the structures responsible for the observed magnetic anomalies over the studied area.</p></sec><sec id="s3_2_3"><title>3.2.3. 3D Euler Deconvolution</title><p>Depth estimation by Euler deconvolution technique was used for delineating geologic contacts. This technique provides automatic estimates of source location and depth. Therefore, Euler deconvolution is both a boundary finder and depth estimation method. Euler deconvolution is commonly employed in magnetic interpretation because it requires only a little prior knowledge about the magnetic source geometry, and more importantly, it requires no information about the magnetization vector [<xref ref-type="bibr" rid="scirp.90605-ref30">30</xref>] [<xref ref-type="bibr" rid="scirp.90605-ref31">31</xref>] . Euler deconvolution is based on solving Euler’s homogeneity Equation (3) [<xref ref-type="bibr" rid="scirp.90605-ref31">31</xref>] :</p><p>( x − x o ) ∂ M ∂ x + ( y − y o ) ∂ M ∂ y + ( z − z o ) ∂ M ∂ z = N ( B − M ) (3)</p><p>where B is the regional value of the total magnetic field and (x<sub>0</sub>, y<sub>0</sub>, z<sub>0</sub>) is the position of the magnetic source, which produces the total magnetic field M measured at (x, y, z). N is so called structural index. For each position of the moving window, on over-estimated system of linear equations is solved for the position and depth of the sources [<xref ref-type="bibr" rid="scirp.90605-ref30">30</xref>] [<xref ref-type="bibr" rid="scirp.90605-ref31">31</xref>] .</p></sec><sec id="s3_2_4"><title>3.2.4. 2.5D Modelling Methods</title><p>The 2.5D modeling shows a vertical section of the geological formations of the subsoil and the magnetic property (magnetic susceptibility) of each of the formations encountered. The objective of this modeling is to obtain a model calculated from an observed model of a magnetic field. All the programs use a 2.5D Talwani algorithm to calculate the magnetic field anomaly produced by the causative bodies [<xref ref-type="bibr" rid="scirp.90605-ref32">32</xref>] [<xref ref-type="bibr" rid="scirp.90605-ref33">33</xref>] . The profile direction is assumed to cut the bodies being modeled at 90˚, the bodies themselves being represented by polygonal shapes of up to 50 sides. The profile bisects the bodies, which extend along strike an equal distance on each side. Although these assumptions may sound restrictive, in practice they do not cause difficulties most of the time.</p><p>The equation associated with this modeling is:</p><p>Δ B y ( r 0 ) = − 2 J j y ∑ ​ ( tan − 1 u i + 1 + Y w i R i + 1 − tan − 1 u i Y w i R i ) (4)</p><p>where the profile is in the x plane, z is down and y is orthogonal to both. J is the magnetization of the body. R i = ( u i 2 + w i 2 + Y 2 ) ; r i + 1 = ( u i + 1 2 + w i 2 ) ; w i = − sin ∅ i x i + cos ∅ i x i + 1 and u i = cos ∅ i x i + 1 + sin ∅ i z i</p></sec></sec></sec><sec id="s4"><title>4. Results and Discussion</title><sec id="s4_1"><title>4.1. Residual Anomaly and Correlation with the Geology of the Area</title><p>The TMI-RTE map (<xref ref-type="fig" rid="fig4">Figure 4</xref>) results from the superposition of short wavelength anomalies (local or residual anomalies) and long wavelength anomalies (regional anomalies). Since it was a question here of looking more specifically at the local anomalies of the studied area, a regional separation technique-residual so-called prolongation was applied to the TMI-RTE map.</p><p>Indeed, the extension consists in artificially moving the observation plane and calculating the field that one would observe in these new points from the data collected in the field. Extension can be up or down. But in this study, we will focus only on the upward extension. The latter makes it possible to pass the anomaly of the altitude Z = 0 to an altitude Z &gt; 0. This operator acts as a low-pass electronic filter by attenuating the short wavelengths; highlighting the anomalies of deeper and deeper structures, depending on the altitude of the extension [<xref ref-type="bibr" rid="scirp.90605-ref9">9</xref>] .</p><p>The upward extension, which is a powerful low-pass filter, is used here to determine the regional; however, this method also has a handicap that lies in the difficulty in determining the appropriate extension altitude in order to have the best approach to the regional. In the case of this study, we adopted the Zeng [<xref ref-type="bibr" rid="scirp.90605-ref34">34</xref>] method which is a compromise between upward extension and polynomial smoothing. It consists in evaluating the height H beyond which the magnetic anomalies extended upwards remain similar. Thus, several upward extensions of the TMI-RTE map are calculated at increasing altitudes of 500 m to 6000 m. For each extended map, the number of extrema (points where the gradient is zero) N is counted. The height H<sub>max</sub> retained is such that the number of extrema of the extended map at heights greater than H<sub>max</sub> remains approximately constant. In this case, it would correspond to 5000 m or 5 Km.</p><p>The map of regional anomalies thus obtained is subtracted from the TMI-RTE map, which made it possible to obtain the residual anomaly map which is a map freed from the influence of the very deep structures (<xref ref-type="fig" rid="fig5">Figure 5</xref>).</p><p>Reduced residual map at equator shows smoothing and stretching of anomalies on the horizontal plane. It also shows the magnitudes of anomalies that vary between −100 and 80 nT. The superimposition (<xref ref-type="fig" rid="fig6">Figure 6</xref>) of the residual Map reduced to the equator (<xref ref-type="fig" rid="fig5">Figure 5</xref>) to the geological map (<xref ref-type="fig" rid="fig1">Figure 1</xref>) allows the following correlations, based on geological assumptions and analysis made on the map residual reduced to the equator.</p><p>In the South-East of the studied area, the identified ENE-WSW positive anomalies are perfectly superposed on the large fault (thick black line in <xref ref-type="fig" rid="fig1">Figure 1</xref>) located in the South-East of the geological map. This direction is therefore sub-parallel to one of the two major tectonic directions of the studied area (N70˚E) corresponding to the major pan-African structures of North Cameroon. This direction is also sub-parallel to the WSW-ENE major mylonitic band which constitutes the Ngaoundere cliff or fault [<xref ref-type="bibr" rid="scirp.90605-ref2">2</xref>] [<xref ref-type="bibr" rid="scirp.90605-ref14">14</xref>] [<xref ref-type="bibr" rid="scirp.90605-ref15">15</xref>] [<xref ref-type="bibr" rid="scirp.90605-ref16">16</xref>] .</p><p>At the center of the studied area, the NE-SW direction of the anomaly coincides with the tectonic line (thick green line in <xref ref-type="fig" rid="fig1">Figure 1</xref>) crossing the gneiss formation in the center of the geological map. It corresponds to the direction of the great fracturing that affected the Adamawa region and favoured the development of intense volcanic activity between the Tertiary and the Quaternary [<xref ref-type="bibr" rid="scirp.90605-ref2">2</xref>] [<xref ref-type="bibr" rid="scirp.90605-ref14">14</xref>] [<xref ref-type="bibr" rid="scirp.90605-ref15">15</xref>] [<xref ref-type="bibr" rid="scirp.90605-ref16">16</xref>] .</p><p>Based on previous correlations, the negative anomalies observed at the Marlok Zone Center (represented by the blue colour in <xref ref-type="fig" rid="fig5">Figure 5</xref>) appear to be trapped between two major ENEWSW faulting directions. We could therefore suspect here the presence of a graben. We also associated the observed negative anomalies with recent sedimentary deposits.</p></sec><sec id="s4_2"><title>4.2. Deep Faults and Contacts</title><sec id="s4_2_1"><title>4.2.1. Analysis of the Results of the Horizontal Gradient</title><p>The horizontal gradient is an excellent way to locate geological contacts in the subsoil, including faults by determining their alignments, dips, and degree of importance [<xref ref-type="bibr" rid="scirp.90605-ref35">35</xref>] [<xref ref-type="bibr" rid="scirp.90605-ref36">36</xref>] (Khattach et al., 2004, 2006). <xref ref-type="fig" rid="fig7">Figure 7</xref> represents the map of the Horizontal gradient magnitude (HGM) of the residual anomaly reduced to the equator. This map shows anomalies associated with continuous geological contacts and straighter than those observed on the residual anomaly map. It shows the major directions ENE-WSW and NE-SW. These anomalies correspond to magnetic contact zones with very large susceptibility differences associated with hidden faults. On this map, there are two main categories of contacts:</p><p>&#216; The most rectilinear contacts and strong intensities are grouped in the center of the zone between Minim and T&#233;kel for several kilometers and characterize the signature of the faults in the covers.</p><p>&#216; Contacts of circular to sub-circular shapes with high intensities are much more grouped north-west of Minim and also discontinuously in other areas of the map. These contacts characterize the limits of the intrusive bodies (dikes or veins of magmatic rock forming a depression).</p><p>To highlight the geological contacts associated with faults or fractures on the map of the Horizontal gradient magnitude (HGM), the map of the local maxima of the magnitude of the horizontal gradient of the residual anomaly (<xref ref-type="fig" rid="fig8">Figure 8</xref>) has been established. On this map, we observe a structural complexity marked</p><p>by the irregular distribution of maxima associated with faults in the basement. In the center of this map, the configuration of ENE-WSW direction maxima suggests the presence of significant structural deformation in the base.</p></sec><sec id="s4_2_2"><title>4.2.2. Analysis of the Results of the Analytic Signal</title><p>In order to better understand the relatively deep geological structures, the method of Analytical signal (AS) has been applied to the map of the residual anomaly. The map obtained (<xref ref-type="fig" rid="fig9">Figure 9</xref>) shows that the linear contacts corresponding to the faults are always grouped in the center (between Minim and T&#233;kel) as well, the contacts of circular or intrusive forms clearly visible on this map, are much more grouped in the North frame West of Minim.</p><p>Horizontal gradient magnitude (HGM), the map of the local maxima of the analytical signal (<xref ref-type="fig" rid="fig1">Figure 1</xref>0) has been established. It also shows the presence of structural deformation ENE-WSW in the center of the region. Three families of</p><p>contacts are highlighted on this map namely the contacts: NE-SW; ENE-WSW and E-W.</p><p>HGM and AS association is very important in this study for the final interpretation of the geological contacts (<xref ref-type="fig" rid="fig1">Figure 1</xref>1). The interpretation of the result of the superimposition of the maxima (<xref ref-type="fig" rid="fig1">Figure 1</xref>2) of these two methods is based on three criteria (the method of Blakely and Simpson) [<xref ref-type="bibr" rid="scirp.90605-ref37">37</xref>] :</p><p>&#216; When the maxima of the horizontal gradient are isolated on the map of the two superimposed methods, they represent the real contacts.</p><p>&#216; When the maxima of the analytical signal and the horizontal gradient are almost parallel and not coincidental, then those of the analytical signal represent the true contacts and those of the horizontal gradient indicate the direction of dip of these contacts.</p><p>&#216; When the maxima of the two methods are merged, then they materialize the vertical contacts.</p><p>The rosette of fracture directions (<xref ref-type="fig" rid="fig1">Figure 1</xref>3) obtained from the interpretive map of deep faults (<xref ref-type="fig" rid="fig1">Figure 1</xref>1) shows three major families of fracturing namely: E-W, NE-SW, ENE-WSW.</p></sec><sec id="s4_2_3"><title>4.2.3. Contributions of the 3-D Euler Deconvolution</title><p>The inversion by the Euler method was carried out using the Euler 3D calculation program incorporated in Geosoft oasis montaj. This is a very effective method that can locate the magnetic contacts in the horizontal plane and their different depths. This is the reason why it has been applied to the residual map. The application of the Euler deconvolution requires the knowledge of three parameters which are: the structural index N, the dimensions of the filter window W</p><p>and the tolerance Z. Since the objective was to highlight the solutions related to geological contacts, in this study, several tests were carried out by varying various N, W and Z parameters. All these made it possible to notice that the best results or groupings of the Euler solutions are obtained for a window size equal to 3, a selection criterion of the solutions which is the tolerance of 12% and a structural index of 0.</p><p><xref ref-type="fig" rid="fig1">Figure 1</xref>4 shows the distribution of Euler’s solutions for the parameters of the selected geological contacts. On this map, the structures are identified in a range of depths ranging from about 600 to 2000 m.</p><p>The superimposition of this map (<xref ref-type="fig" rid="fig1">Figure 1</xref>4) to that of the (<xref ref-type="fig" rid="fig1">Figure 1</xref>5) provides an estimate of the depths of the faults obtained based on the alignment of the solutions at the levels of the different contacts (<xref ref-type="table" rid="table1">Table 1</xref>).</p></sec><sec id="s4_2_4"><title>4.2.4. Correlation between Magnetic Anomalies, Geological Structures and Mineralization</title><p>By superimposing on the map of residual anomalies reduced to the equator the mining index maps, and deep faults in the studied area (<xref ref-type="fig" rid="fig1">Figure 1</xref>6), several interpretations can be made:</p><p>&#216; Some clues (Au, Sn, Ge) are found at the edges of rivers and these are related to geological structures.</p><p>&#216; Gold (Au) clues found in the area appear to be superimposed on strong NE-SW magnetic direction signals recorded north of Marlok.</p><p>&#216; To the west of T&#233;kel, the Aluminum (Al) index, as well as the portion of the bauxite plateau of Minim-Martap (represented by the blue circle in <xref ref-type="fig" rid="fig1">Figure 1</xref>6 found in the study area, seem to coincide with the two high magnetic signals that have a direction similar to that of the mylonitic cliff of Ngaoundere namely the direction ENE-WSW. This proves that these anomalies could extend beyond the studied area in the same direction.</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Characteristics of deep faults</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Faults</th><th align="center" valign="middle" >Dips</th><th align="center" valign="middle" >Approximate depths (m)</th><th align="center" valign="middle" >Faults</th><th align="center" valign="middle" >Dips</th><th align="center" valign="middle" >Approximate depths (m)</th></tr></thead><tr><td align="center" valign="middle" >F1</td><td align="center" valign="middle" >Vertical</td><td align="center" valign="middle" >1200 - 1500</td><td align="center" valign="middle" >F12</td><td align="center" valign="middle" >Vertical</td><td align="center" valign="middle" >900 - 1000</td></tr><tr><td align="center" valign="middle" >F2</td><td align="center" valign="middle" >Vertical</td><td align="center" valign="middle" >1100 - 1200</td><td align="center" valign="middle" >F13</td><td align="center" valign="middle" >SE</td><td align="center" valign="middle" >1000 - 1300</td></tr><tr><td align="center" valign="middle" >F3</td><td align="center" valign="middle" >Vertical</td><td align="center" valign="middle" >1000 - 1300</td><td align="center" valign="middle" >F14</td><td align="center" valign="middle" >Vertical</td><td align="center" valign="middle" >1000 - 1500</td></tr><tr><td align="center" valign="middle" >F4</td><td align="center" valign="middle" >N-S</td><td align="center" valign="middle" >1000 - 1500</td><td align="center" valign="middle" >F15</td><td align="center" valign="middle" >S</td><td align="center" valign="middle" >650 - 850</td></tr><tr><td align="center" valign="middle" >F5</td><td align="center" valign="middle" >Vertical</td><td align="center" valign="middle" >800 - 1000</td><td align="center" valign="middle" >F16</td><td align="center" valign="middle" >Vertical</td><td align="center" valign="middle" >1200 - 1700</td></tr><tr><td align="center" valign="middle" >F6</td><td align="center" valign="middle" >Vertical</td><td align="center" valign="middle" >1500 - 1700</td><td align="center" valign="middle" >F17</td><td align="center" valign="middle" >Vertical</td><td align="center" valign="middle" >950 - 1100</td></tr><tr><td align="center" valign="middle" >F7</td><td align="center" valign="middle" >NW</td><td align="center" valign="middle" >1200 - 1500</td><td align="center" valign="middle" >F18</td><td align="center" valign="middle" >SE</td><td align="center" valign="middle" >900 - 1000</td></tr><tr><td align="center" valign="middle" >F8</td><td align="center" valign="middle" >SE</td><td align="center" valign="middle" >600 - 700</td><td align="center" valign="middle" >F19</td><td align="center" valign="middle" >SE</td><td align="center" valign="middle" >600 - 680</td></tr><tr><td align="center" valign="middle" >F9</td><td align="center" valign="middle" >Vertical</td><td align="center" valign="middle" >900 - 1000</td><td align="center" valign="middle" >F20</td><td align="center" valign="middle" >N-S</td><td align="center" valign="middle" >700 - 1000</td></tr><tr><td align="center" valign="middle" >F10</td><td align="center" valign="middle" >NW</td><td align="center" valign="middle" >1000 - 1500</td><td align="center" valign="middle" >F21</td><td align="center" valign="middle" >N-S</td><td align="center" valign="middle" >800 - 900</td></tr><tr><td align="center" valign="middle" >F11</td><td align="center" valign="middle" >N-S</td><td align="center" valign="middle" >Unknown</td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td></tr></tbody></table></table-wrap><p>&#216; The other elements namely tin (Sn) and Germanium (Ge) appear to be related to recent sedimentary formations outcropping in the north-western part of the studied area (North-West of Minim).</p><p>In summary, the reduction of magnetic data to the equator yielded a map that reflects the degree of concentration of magnetic minerals at the studied area scale’s. This map has been superimposed on that of the geology of the studied area. Its examination makes it possible to realize that the highlighted lineaments represent, for the most part, sub-meridian magnetic structures, offset by transverse faults with dextral plays.</p><p>The very elongated shape of most anomalies represents the magnetic signature of also elongated sources that may correspond to veins or other lenses. However, the very high amplitude of the magmatic signals of these anomalies makes it possible to exclude the hypothesis of the quartz, which cannot present such a signal. The elongated shape of these anomalies as well as their high amplitude is therefore suitable for bodies meeting these criteria, namely: the dikes. The dikes are actually veins of magmatic rocks that have infiltrated the various fractures of the country. It is therefore an intrusive phenomenon in an open crack. This phenomenon is very visible on the residual map of the studied area (<xref ref-type="fig" rid="fig1">Figure 1</xref>6).</p><p>Taking into account the faults obtained, the dikes observed on the residual map as well as the mineralization index, and integrating them with the map of <xref ref-type="fig" rid="fig1">Figure 1</xref>, one obtains a geological map <xref ref-type="fig" rid="fig1">Figure 1</xref>7 much more informed which actually shows that the mineralization of the zone of studied are actually associated with the zones of geological structures or zones of faults.</p></sec><sec id="s4_2_5"><title>4.2.5. 2.5D Modelling</title><p>The 2.5D modelling was performed on two magnetic profiles (P1 and P2) of NNW-SSE directions. These profiles plotted on the residual map reduced to the</p><p>Equator (<xref ref-type="fig" rid="fig5">Figure 5</xref>) are 35 km long for P1 and 30 km long for P2 respectively. They transversely cross the major anomalies of the studied area that are fairly representative (major anomalies) of all the anomalies of the entire studied area.</p><p>Previous interpretations show that the mineralization indices are associated with the geological contacts or structures of the sector and in particular with the dikes (Paragraph 4.2.4) which are folded fractures by newcomers of magmatic fluids within a host. The objective of this modeling was therefore to highlight these dikes in a vertical section, thus giving their geometry, their approximate depth, as well as the other associated geologies.</p><p>The association of the horizontal gradient method with that of the analytical signal and the analysis made on other magmatic maps shows that the dikes of the studied area are associated with vertical faults (<xref ref-type="table" rid="table1">Table 1</xref>). The deconvolution of Euler made it possible to constrain the depth of modeling to 2 km below the topographic level. The formations of the model were delimited by using two types of analysis: magnetic relief analysis and geological analysis traversed by the profiles (<xref ref-type="fig" rid="fig1">Figure 1</xref>7), thus by synchronizing or mosaicking several data windows. All these analysis made it possible to establish the limits of modeling.</p><p><xref ref-type="fig" rid="fig1">Figure 1</xref>8 and <xref ref-type="fig" rid="fig1">Figure 1</xref>9 respectively represent the models of profiles P1 and P2. The P1 model shows four (04) formations: a formation of cover or sediments, gneiss, granite and dikes. For this model, from NNW to SSE, three (03) dikes intrusions associated with vertical contacts are observed at depths between about 300 and 1880 meters below the topographic level.</p><p>For the P2 model, in addition to sediment, we have granite and dikes. From NNW to SSE, two (02) dikes intrusions also occurred associated with vertical contacts at depths between 450 and 1400 meters below the topographic level.</p><p>The apparent magmatic susceptibility of the dikes, obtained from modeling (S = 0.1278), is similar to that of diorite (S = 0.13) according to the classification of rocks and minerals according to their magmatic susceptibilities of Hunt et al. [<xref ref-type="bibr" rid="scirp.90605-ref38">38</xref>] .</p></sec></sec></sec><sec id="s5"><title>5. Conclusion</title><p>The treatment and interpretation of the aeromagnetic data made it possible to</p><p>know the structure of the subsoil of the studied area from the analysis of the magnetic surface signals. Indeed, the combination of analytical methods (HG, AS, ED) has made it possible to highlight the deep faults and their approximate depths. The major directions of these faults namely ENE-WSW (N70˚E) and NE-SW (N45˚E) coincide with those found by [<xref ref-type="bibr" rid="scirp.90605-ref6">6</xref>] [<xref ref-type="bibr" rid="scirp.90605-ref9">9</xref>] in their respective researched work. The combinatorial analysis of different magmatic maps shows dikes associated with vertical faults in the studied area. The geological interpretative map obtained by combining the basic geologic data, deep faults and identified dikes shows that the mineralization indices of the study area are in fault zones. Therefore, the sources of these indices could be associated with the geological structures (dikes in particular) of the studied area. The 2.5D modelling of two magnetic profiles has been done with the aim of approaching the geometry and depth of the dikes sector, which are potential sources of mineralization here. The results of the modeling thus show dikes associated with vertical contacts and located at extreme depths between 300 and 1880 meters below the topographic level. The apparent magmatic susceptibility of the dikes, obtained from modelling (S = 0.1278), is similar to that of diorite (S = 0.13) according to the classification of rocks and minerals according to their magmatic susceptibilities of Hunt et al. [<xref ref-type="bibr" rid="scirp.90605-ref38">38</xref>] . All the results thus obtained make it possible to have more advanced knowledge of the geological structures and mineralization of the studied area for possible mineral exploration.</p></sec><sec id="s6"><title>Conflicts of Interest</title><p>The authors declare that there is no conflict of interest regarding the publication of this paper.</p></sec><sec id="s7"><title>Cite this paper</title><p>Ars&#232;ne, M., Herv&#233;, G.D., Theophile, N.M., Mouhamed, N.N. and Igor, O.A.O.U. (2019) 2.5D Modelling of Aeromagnetic Data and their Mining Implications over the Ngaoundere Area (Adamawa Province, Cameroon). International Journal of Geosciences, 10, 173-192. https://doi.org/10.4236/ijg.2019.102011</p></sec></body><back><ref-list><title>References</title><ref id="scirp.90605-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Belinga, E. (1972) The Alteration of Basaltic Rocks and the Process of Bauxitization in Adamawa (Cameroon). Thesis Doc., State University, Paris, 571.</mixed-citation></ref><ref id="scirp.90605-ref2"><label>2</label><mixed-citation publication-type="journal" xlink:type="simple"><name name-style="western"><surname>Dumont</surname><given-names> J.F. </given-names></name>,<etal>et al</etal>. (<year>1987</year>)<article-title>Structural Study of the North and South Borders of the Adamawa Plateau: Influence of the Atlantic Context</article-title><source> Geodynamics</source><volume> 1</volume>,<fpage> 9</fpage>-<lpage>13</lpage>.<pub-id pub-id-type="doi"></pub-id></mixed-citation></ref><ref id="scirp.90605-ref3"><label>3</label><mixed-citation publication-type="book" xlink:type="simple">Ngounouno, I. (1998) Petrology and Geodynamic Framework of the Cenozoic Magmatism of the Cameroon Line. In: Vicat, J.P. and Bilong, P., Eds., Geoscience in Cameroon, Collection GEOCAM, Vol. 1, 169-184.</mixed-citation></ref><ref id="scirp.90605-ref4"><label>4</label><mixed-citation publication-type="other" xlink:type="simple">Poudjom-Djomani, Y.H., Diament, M. and Albouy, Y. (1992) Mechanical Behaviour of the Lithosphere beneath the Adamawa Uplift (Cameroon, West Africa) Based on Gravity Data. Journal of Africa Earth Sciences, 15, 81-90.  
&lt;/br&gt;https://doi.org/10.1016/0899-5362(92)90009-2</mixed-citation></ref><ref id="scirp.90605-ref5"><label>5</label><mixed-citation publication-type="other" xlink:type="simple">Poudjom-Djomani, Y.H. (1993) Contribution of Gravimetry to the Study of the Continental Lithosphere and Geodynamic Implications. Study of an Intraplaque Bombing: The Adamaoua Massif (Cameroon). PhD Thesis, University South of Paris, Paris, 229.</mixed-citation></ref><ref id="scirp.90605-ref6"><label>6</label><mixed-citation publication-type="other" xlink:type="simple">Poudjom-Djomani, Y.H., Nnange, J.M., Diament, M., Ebinger, C.J. and Fairhead, J.D. (1995) Effective Elastic Thickness and Crustal Thickness Variations in West Central Africa Inferred from Gravity Data. Journal of Geophysical Research, 100, 47-70.</mixed-citation></ref><ref id="scirp.90605-ref7"><label>7</label><mixed-citation publication-type="other" xlink:type="simple">Poudjom-Djomani, Y.H., Diament, M. and Wilson, M. (1997) Lithospheric Structures across the Adamawa Plateau (Cameroon) from Gravity Studies. Tectonophysics, 273, 317-327. &lt;/br&gt;https://doi.org/10.1016/S0040-1951(96)00280-6</mixed-citation></ref><ref id="scirp.90605-ref8"><label>8</label><mixed-citation publication-type="other" xlink:type="simple">Noutchogwe, T.C., Tabod, C.T. and Manguelle-Dicoum, E. (2006) A Gravity Study of the Crust Beneath the Adamawa Fault Zone, West Central Africa. Journal of geophysics and Engineering, 3, 82-89. &lt;/br&gt;https://doi.org/10.1088/1742-2132/3/1/009</mixed-citation></ref><ref id="scirp.90605-ref9"><label>9</label><mixed-citation publication-type="other" xlink:type="simple">Noutchogwe, T.C. (2010) Geophysical Investigation in the Adamawa Region by Gravimetric and Magnetic Methods: Structural and Hydrogeological Implications. PhD Thesis, University of Yaoundé I, Yaoundé, 146.</mixed-citation></ref><ref id="scirp.90605-ref10"><label>10</label><mixed-citation publication-type="other" xlink:type="simple">Marechal, A. and Vincent, P.R. (1971) The Cretaceous Pit of South Adamawa (Cameroon). ORSTOM Book, Geological Series, 3, 67-83.</mixed-citation></ref><ref id="scirp.90605-ref11"><label>11</label><mixed-citation publication-type="other" xlink:type="simple">Temdjim, R. (1986) Volcanism of the Region of Ngaoundere (Adamawa-Cameroon). Volcanic and Petrographic Study. Thesis, 3rd Cycle, University Clermont Ferrand, France, 185.</mixed-citation></ref><ref id="scirp.90605-ref12"><label>12</label><mixed-citation publication-type="other" xlink:type="simple">Temdjim, R. (2006) Contribution to the Knowledge of the Upper Mantle of Cameroon through the Study of Ultrabasic and Basic Enclaves Ascended by the Volcanoes of Youkou (Adamawa) and Nyos (Cameroon Line). Thesis State, University of Yaounde I, 346.</mixed-citation></ref><ref id="scirp.90605-ref13"><label>13</label><mixed-citation publication-type="other" xlink:type="simple">Ngounouno, I., Moreau, C., Deruelle, B., Demaiffe, D. and Montigny, R. (2001) Petrology of the Subsaturated Alkaline Complex of Koukoumi (North of Cameroon). Bulletin de la Société Géologique de France, 172, 675-686.  
&lt;/br&gt;https://doi.org/10.2113/172.6.675</mixed-citation></ref><ref id="scirp.90605-ref14"><label>14</label><mixed-citation publication-type="other" xlink:type="simple">Lassere, M. (1961) Geological Map of Recognition at a Scale of 1: 500,000, Cameroon Territory, Ngaoundere East. Dir. Mines Geol. Cameroon.</mixed-citation></ref><ref id="scirp.90605-ref15"><label>15</label><mixed-citation publication-type="other" xlink:type="simple">Koch, P. (1953) Geological Map of Cameroon. Banyo Clipping, with Explanatory Note.</mixed-citation></ref><ref id="scirp.90605-ref16"><label>16</label><mixed-citation publication-type="other" xlink:type="simple">Cornacchia, M. and Dars, R. (1983) A Major Structural Feature of the African Continent: The Central African Lineaments from Cameroon to the Gulf of Aden. Bull. COC.Geol. France, 25, 101-109.</mixed-citation></ref><ref id="scirp.90605-ref17"><label>17</label><mixed-citation publication-type="other" xlink:type="simple">Lasserre, M. (1961) Geological Map of Reconnaissance at Scale 1/500000, Territory of Cameroon, Ngaoundere-East. Dir, Mines Geol Cameroon, Yaounde, Camerooùn.</mixed-citation></ref><ref id="scirp.90605-ref18"><label>18</label><mixed-citation publication-type="other" xlink:type="simple">EnoBelinga (1984) Geology of Cameroon. Yaounde University, Yaounde, 308.</mixed-citation></ref><ref id="scirp.90605-ref19"><label>19</label><mixed-citation publication-type="other" xlink:type="simple">Toteu, S.F., Van Schmus, W.R., Penaye, J. and Michard, A. (2001) New U-Pb and Sm-Nd Data from North-Central Cameroon and Its Bearing on the Pre-Pan African History of Central Africa. Precambrian Research, 108, 45-73.  
&lt;/br&gt;https://doi.org/10.1016/S0301-9268(00)00149-2</mixed-citation></ref><ref id="scirp.90605-ref20"><label>20</label><mixed-citation publication-type="other" xlink:type="simple">Tchameni, R., Pouclet, A., Penaye, J., Ganwa, A.A. and Toteu, S.F. (2006) Petrography and Geochemistry of the Ngaoundere Pan-African Granitoids in Central Cameroon: Implications for Their Sources and Geological Setting. Journal of African Earth Sciences, 44, 511-529. &lt;/br&gt;https://doi.org/10.1016/j.jafrearsci.2005.11.017</mixed-citation></ref><ref id="scirp.90605-ref21"><label>21</label><mixed-citation publication-type="other" xlink:type="simple">Paterson, Grant and Watson Ltd. (1976) Interpretation of an Aeromagnetic Survey Overpart of the United Republic of Cameroon. ACDI, Toronto, 190.</mixed-citation></ref><ref id="scirp.90605-ref22"><label>22</label><mixed-citation publication-type="other" xlink:type="simple">Phillips, J.D. (1998) Processing and Interpretation of Aeromagnetic Data for the Santa Cruz Basin—Patahonia Mountains Area, South-Central Arizona. U.S. Geological Survey Open-File Report, Arizona, 2-98.</mixed-citation></ref><ref id="scirp.90605-ref23"><label>23</label><mixed-citation publication-type="other" xlink:type="simple">Ngoh, J.D., Ndougsa-Mbarga, T., Assembe, S.P., Meying, A., Owono, O.U. and Tabod, T.C. (2017) Evidence of Structural Facts Inferred from Aeromagnetic Data Analysis over the Guider-Maroua Area (Northern Cameroon). International Journal of Geosciences, 8, 781-800. &lt;/br&gt;https://doi.org/10.4236/ijg.2017.86044</mixed-citation></ref><ref id="scirp.90605-ref24"><label>24</label><mixed-citation publication-type="other" xlink:type="simple">Cordell, L. and Grauch, V.J.S. (1982) Mapping Basement Magnetization Zones from Aeromagnetic Data in the San Juan Basin, New Mexico. SEG Technical Program Expanded Abstracts, 246-247.</mixed-citation></ref><ref id="scirp.90605-ref25"><label>25</label><mixed-citation publication-type="book" xlink:type="simple">Cordell, L. and Grauch, V.J.S. (1985) Mapping Basement Magnetization Zones from Aeromagnetic Data in the San Juan Basin, New Mexico. In: Hinze, W.J., Ed., The Utility of Regional Gravity and Magnetic Anomaly Maps, Society of Exploration Geophysicists, 181-197. &lt;/br&gt;https://doi.org/10.1190/1.0931830346.ch16</mixed-citation></ref><ref id="scirp.90605-ref26"><label>26</label><mixed-citation publication-type="other" xlink:type="simple">Nabighian, M.N. (1972) The Analytic Signal of Two-Dimensional Magnetic Bodies with Polygonal Cross-Section: Its Properties and Use for Automated Anomaly Interpretation. Geophysics, 37, 507-517. &lt;/br&gt;https://doi.org/10.1190/1.1440276</mixed-citation></ref><ref id="scirp.90605-ref27"><label>27</label><mixed-citation publication-type="other" xlink:type="simple">Roest, W.R., Verhoef, J. and Pilkigton, M. (1992) Magnetic Interpretation Using the 3-D Signal Analytic. Geophysics, 57, 116-125. &lt;/br&gt;https://doi.org/10.1190/1.1443174</mixed-citation></ref><ref id="scirp.90605-ref28"><label>28</label><mixed-citation publication-type="other" xlink:type="simple">Macleod, I.N., Jones, K. and Dai, T.F. (1993) 3-D Analytic Signal in the Interpretation of Total Magnetic Field Data at Low Magnetic Latitudes. Exploration Geophysics, 24, 679-688. &lt;/br&gt;https://doi.org/10.1071/EG993679</mixed-citation></ref><ref id="scirp.90605-ref29"><label>29</label><mixed-citation publication-type="other" xlink:type="simple">Jeng, Y., Lee, Y.L., Chen, C.Y. and Lin, M.J. (2003) Integrated Signal Enhancements in Magnetic Investigation in Archaeology. Journal of Applied Geophysics, 53, 31-48. &lt;/br&gt;https://doi.org/10.1016/S0926-9851(03)00015-6</mixed-citation></ref><ref id="scirp.90605-ref30"><label>30</label><mixed-citation publication-type="other" xlink:type="simple">Thompson, D.T. (1982) A New Technique for Making Computer-Assisted Depth Estimates from Magnetic Data. Geophysics, 47, 31-37.  
&lt;/br&gt;https://doi.org/10.1190/1.1441278</mixed-citation></ref><ref id="scirp.90605-ref31"><label>31</label><mixed-citation publication-type="other" xlink:type="simple">Reid, A.B., Allsop, J.M., Granser, H., Millett, A.J. and Somerton, I.W. (1990) Magnetic Interpretation in Three Dimensions Using Euler Deconvolution. Geophysics, 55, 80-90. &lt;/br&gt;https://doi.org/10.1190/1.1442774</mixed-citation></ref><ref id="scirp.90605-ref32"><label>32</label><mixed-citation publication-type="other" xlink:type="simple">Talwani, M. and Heirzler, J.R. (1964) Computation of Magnetic Anomalies Caused by Two-Dimensional Bodies with Application to the Mineral Industry Shape. Computers in the Mineral Industry, School of Earth Sciences, Stanford University, Stanford, 464-480.</mixed-citation></ref><ref id="scirp.90605-ref33"><label>33</label><mixed-citation publication-type="other" xlink:type="simple">Grant, F.S. and West, G.F. (1965) Interpretation Theory in Applied Geophysics. McGraw-Hill, New York, 584.</mixed-citation></ref><ref id="scirp.90605-ref34"><label>34</label><mixed-citation publication-type="other" xlink:type="simple">Zeng, H. (1989) Estimation of the Degree of Polynomial Fitted to Gravity Anomalies and Its Application. Geophysical Prospecting, 37, 959-973.  
&lt;/br&gt;https://doi.org/10.1111/j.1365-2478.1989.tb02242.x</mixed-citation></ref><ref id="scirp.90605-ref35"><label>35</label><mixed-citation publication-type="other" xlink:type="simple">Khattach, D., Keating, P., Mili, E.M., Chennouf, T., Andrieux, P. and Milhi, A. (2004) Contribution of Gravimetry to the Study of Basffa Structure (North-East Morocco): Hydrogeological Implications. Géoscience, 336, 1427-1432.  
&lt;/br&gt;https://doi.org/10.1016/j.crte.2004.09.012</mixed-citation></ref><ref id="scirp.90605-ref36"><label>36</label><mixed-citation publication-type="other" xlink:type="simple">Khattach, D., Mraoui, H., Sbibih, D. and Chennouf, T. (2006) Multi-Scale Wavelet Analysis of Geological Contacts: Application to the Gravimetry of Nord-Eastern Morocco. Comptes Rendus Geoscience, 338, 521-526.  
&lt;/br&gt;https://doi.org/10.1016/j.crte.2006.03.002</mixed-citation></ref><ref id="scirp.90605-ref37"><label>37</label><mixed-citation publication-type="other" xlink:type="simple">Blakely, R.J. and Simpson, R.W. (1986) Approximating Edges of Source Bodies from Magnetic or Gravity Anomalies. Geophysics, 51, 1494-1498.  
&lt;/br&gt;https://doi.org/10.1190/1.1442197</mixed-citation></ref><ref id="scirp.90605-ref38"><label>38</label><mixed-citation publication-type="book" xlink:type="simple">Hunt, C.P., Moskowitz, B.M. and Banerjee, S.K. (1995) Magnetic Properties of Rocks and Minerals. In: Ahrens, T.J., Ed., Rock Physics &amp; Phase Relations: A Handbook of Physical Constants, Vol. 3, American Geophysical Union, Washington DC, 189-204. &lt;/br&gt;https://doi.org/10.1029/RF003p0189</mixed-citation></ref></ref-list></back></article>