<?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">WJET</journal-id><journal-title-group><journal-title>World Journal of Engineering and Technology</journal-title></journal-title-group><issn pub-type="epub">2331-4222</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/wjet.2019.71008</article-id><article-id pub-id-type="publisher-id">WJET-90229</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Chemistry&amp;Materials Science</subject><subject> Engineering</subject></subj-group></article-categories><title-group><article-title>
 
 
  An Integrated Method of Data Mining and Flow Unit Identification for Typical Low Permeability Reservoir Prediction
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Peng</surname><given-names>Yu</given-names></name><xref ref-type="aff" rid="aff1"><sub>1</sub></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib></contrib-group><aff id="aff1"><label>1</label><addr-line>Guangxi Colleges and Universities Key Laboratory of Beibu Gulf Oil and Natural Gas Resource Effective Utilization, Beibu Gulf University, Qinzhou, China</addr-line></aff><pub-date pub-type="epub"><day>19</day><month>12</month><year>2018</year></pub-date><volume>07</volume><issue>01</issue><fpage>122</fpage><lpage>128</lpage><history><date date-type="received"><day>29,</day>	<month>December</month>	<year>2018</year></date><date date-type="rev-recd"><day>25,</day>	<month>January</month>	<year>2019</year>	</date><date date-type="accepted"><day>28,</day>	<month>January</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>
 
 
  
    With the development of oilfield exploration and mining, the research on continental oil and gas reservoirs has been gradually refined, and the exploration target
    
   of
    
   offshore
    
   reservoir
    
   has
    
   also
    
   entered
    
   the
    
   hot
    
   study
   
   stage
    
   of
    
   small sand bodies, small fault blocks, complex structures, low permeability and various heterogeneous geological bodies.
    
   Thus, the
    
   marine
    
   oil
    
   and
    
   gas
    
   development
    
   will
    
   inevitabl
   y 
   enter
    
   the
   
   complicated
    
   reservoir
    
   stage
   ;
    meanwhile
    
   the corresponding assessment
    
   technologies, engineering
    
   measures
    
   and
   
   exploration
    
   method
    
   should
    
   be
    
   designed
    
   delicately. Studying on hydraulic flow unit of
    
   low permeability reservoir of offshore oilfield has practical significance for connectivity degree and remaining
    
   oil distribution.
    
   An integrated method which contain
   s
    the data mining
    
   and flow unit identification part was used on the flow unit prediction of low permeability reservoir
   ;
    the predicted results were compared with mature commercial system
    
   results for verifying its application.
    
   This strategy is successfully
    
   applied to increase the accuracy by choosing the outstanding prediction
    
   result. Excellent computing system could provide more accurate geological information for reservoir characterization. 
  
 
</p></abstract><kwd-group><kwd>Low Permeability Reservoir</kwd><kwd> Offshore Oilfield</kwd><kwd> Hydraulic Flow Unit</kwd><kwd>  Flow Unit Identification</kwd><kwd> Data Mining</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>With the exploration and mining in marine oil and gas formation, there are an increasing number of low permeability reservoirs being found. Generally speaking, this type of reservoir has the serious heterogeneity characteristics which can lead to the larger difference of permeability among reservoirs of equal porosity basically, and several related logging response characteristics are not obvious. In such environment, a reasonable representation of the reservoir has very important practical significance. In order to characterize oil and gas reservoirs more precisely, the concept of reservoir hydraulic flow unit is introduced, which, after continued development and improvement, for the moment generally refers to the basic unit with consistent petrological, geological and hydrodynamic characteristics within a given reservoir that is different from other rocks, and this method is especially effective for the porous medias paces with strong heterogeneity characteristics [<xref ref-type="bibr" rid="scirp.90229-ref1">1</xref>] [<xref ref-type="bibr" rid="scirp.90229-ref2">2</xref>] [<xref ref-type="bibr" rid="scirp.90229-ref3">3</xref>] [<xref ref-type="bibr" rid="scirp.90229-ref4">4</xref>] .</p><p>Reservoir quality index and flow unit are two basic concepts used by scholars. Both petroleum geologists and engineers have long acquainted the importance of these concepts in petroleum field as they have applied them as outstanding methods to properly quantify and characterize reservoir formations [<xref ref-type="bibr" rid="scirp.90229-ref5">5</xref>] . Recent studies also have proved the superiority of data mining technology to empirical and statistical approaches in petroleum and geosciences related problems. A growing tendency utilizing mining algorithm for solving problems of onshore reservoir description is observed [<xref ref-type="bibr" rid="scirp.90229-ref6">6</xref>] [<xref ref-type="bibr" rid="scirp.90229-ref7">7</xref>] [<xref ref-type="bibr" rid="scirp.90229-ref8">8</xref>] . The aim of this study is to characterize target offshore reservoir with the integrated method of data mining and flow unit identification, and core samples were taken from Beibu Gulf typical low permeability operating area.</p></sec><sec id="s2"><title>2. Data Analysis Approach</title><p>Hydraulic flow unit, has been well known as a part of the reservoir porous media, characterizes lateral and vertical consistency in reservoir rock and fluid properties. Lots of definitions for the unit were brought forward in the last decades by Hearn et al. [<xref ref-type="bibr" rid="scirp.90229-ref9">9</xref>] , Ebanks [<xref ref-type="bibr" rid="scirp.90229-ref10">10</xref>] and Gunter et al. [<xref ref-type="bibr" rid="scirp.90229-ref11">11</xref>] . It was pointed out that the unit is useful in the reservoir characterization as it combines the most important two petrophysical properties: permeability and porosity. These two properties control reservoir quality in terms of reservoir storativity and transmissibility. In 1993, Amaefule et al. [<xref ref-type="bibr" rid="scirp.90229-ref12">12</xref>] presented the mathematical model for the RQI (Equation (1)) as:</p><p>R Q I = 0.0314 k ϕ e (1)</p><p>where k is permeability (mD), ϕ e is effective porosity (fraction), and RQI is Reservoir Quality Index (μm).</p><p>Different RQIs could be a signification for the existence of multiple flow units in the porous media which inevitably influences the expected pressure profiles and flow regimes. In following equations ϕ z (Equation (2)) and FZI (Equation (3)) are normalized porosity index and Flow Zone Indicator (μm) respectively.</p><p>ϕ z = ϕ e 1 − ϕ e (2)</p><p>F Z I = 1 F s τ S g v = R Q I ϕ z (3)</p><p>This model system is based on texture and mineralogy which defines similar fluid flow features that is independent of lithofacies. Authors give an equation which is rearranged to isolate the variable that is constant within a unit based on the concept of bundle of capillary tubes [<xref ref-type="bibr" rid="scirp.90229-ref13">13</xref>] .</p></sec><sec id="s3"><title>3. Flow Unit Division and Characterization</title><sec id="s3_1"><title>3.1. Flow Unit Division</title><p>The division and characterization of the hydraulic flow units can be executed either using the static based or the dynamic based methodology. The common static methods include developing relationship between fluid properties and rock media by core and/or log derived data, and the statistical measurement of permeability and the heterogeneous degree of the reservoir. It has been found that the application effects of single parameter methods are poor, loyalties of results are not high. Considering natural distribution characteristics of porous media itself, clustering analysis was chosen to execute early classification with the Flow Zone Indicator and its related parameters; then the final classification was completed according to the clustering pedigree chart of hydraulic unit samples [<xref ref-type="bibr" rid="scirp.90229-ref14">14</xref>] .</p><p>Flow Zone Index and the factor which reflects the features of microscopic pore structure have high correlation by analyzing the relationship between flow parameter and displacement pressure (P<sub>d</sub>). Besides, geological parameters for low permeability reservoirs were selected as clustering (Ward’s method) variables: ϕ e , ϕ z and RQI. Sum of squares method which could deal with isolated points reasonably was considered preferentially. Based on the homogeneity of similar samples, 4 schemes were built finally (FU#5, FU#6, FU#7, FU#8).</p></sec><sec id="s3_2"><title>3.2. Data Mining for Flow Unit Characterization</title><p>Due to the differentiation between petrophysical and percolation characteristics, there are some differences on logging response for each category of hydraulic flow unit, and based on the differences, a data mining method was also applied for identify the hydraulic unit of uncored intervals in the crossplot of logging bins. Key link of the whole system is probability database (include core and logging data), its construction process is through comparing each sample data and selecting logging parameters associated with the core. The database consisting of probability of occurrence for each unit corresponding to discretized logging data is assigned to all FUs. Basic computation of the database and inference of FUs was executed by self-software. Meanwhile, back evaluation program was performed to test the software’s effect for known categories of cored interval. The software design procedure is presented in <xref ref-type="fig" rid="fig1">Figure 1</xref>.</p><p>Probability database of cored sample unit categories were calculated after software debugging completed, and named as P<sub>FU5-1</sub>, P<sub>FU5-2</sub>, P<sub>FU5-3</sub>; P<sub>FU6-1</sub>, P<sub>FU6-2</sub>, P<sub>FU6-3</sub>; P<sub>FU7-1</sub>, P<sub>FU7-2</sub>, P<sub>FU7-3</sub>; P<sub>FU8-1</sub>, P<sub>FU8-2</sub>, P<sub>FU8-3</sub>. The result of back evaluation report shows that the accurate rates of P<sub>FU5-3</sub> and P<sub>FU6-3</sub> are better than remaining database (<xref ref-type="table" rid="table1">Table 1</xref>).</p></sec><sec id="s3_3"><title>3.3. Comparative Verification</title><p>The predicted results of software were compared with the mature commercial system results of artificial neural network recognition mode for verifying its application. Firstly, the same cored single well and database P<sub>HU5-3</sub> which has the higher accurate rate were choose, and then operated software, result of prediction rate was 82.07%. Then selecting 5 typical logging parameters to be neural network input parameters, and the categories of hydraulic flow unit were selected as the parameter of expectation output, hidden layer neurons number range of 4 - 12 and the output type is hydraulic flow unit. In the training process, the network learning rate is 0.05, permissible error is 0.001, and maximum number of iterations is 10000. The number of hidden layer nodes selected by experience formula, network error showed the minimum error when the number of the nodes reach 11, then supplied single well data, we focus on the training error has reached the requirements when the number of iterations up to 5968 times (<xref ref-type="table" rid="table2">Table 2</xref>). Weights and thresholds of prediction model were created. The true positive rates of receiver operating characteristic curve increase fast, curves bent upward, areas under curve large, classified performance of model is favorable. Calling learning network to carry out predictive instruction for verified well, the final accuracy rate is 82.97%, close to the predictive results with our software.</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Statistical results of back evaluation report on cored single wells</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Database</th><th align="center" valign="middle" >Case 1</th><th align="center" valign="middle" >Case 2</th><th align="center" valign="middle" >Case 3</th></tr></thead><tr><td align="center" valign="middle" >P<sub>HU5-1</sub></td><td align="center" valign="middle" >0.71</td><td align="center" valign="middle" >0.65</td><td align="center" valign="middle" >0.62</td></tr><tr><td align="center" valign="middle" >P<sub>HU5-2</sub></td><td align="center" valign="middle" >0.63</td><td align="center" valign="middle" >0.77</td><td align="center" valign="middle" >0.72</td></tr><tr><td align="center" valign="middle" >P<sub>HU5-3</sub></td><td align="center" valign="middle" >0.79</td><td align="center" valign="middle" >0.82</td><td align="center" valign="middle" >0.83</td></tr><tr><td align="center" valign="middle" >P<sub>HU6-1</sub></td><td align="center" valign="middle" >0.77</td><td align="center" valign="middle" >0.75</td><td align="center" valign="middle" >0.79</td></tr><tr><td align="center" valign="middle" >P<sub>HU6-2</sub></td><td align="center" valign="middle" >0.45</td><td align="center" valign="middle" >0.57</td><td align="center" valign="middle" >0.64</td></tr><tr><td align="center" valign="middle" >P<sub>HU6-3</sub></td><td align="center" valign="middle" >0.83</td><td align="center" valign="middle" >0.78</td><td align="center" valign="middle" >0.79</td></tr><tr><td align="center" valign="middle" >P<sub>HU7-1</sub></td><td align="center" valign="middle" >0.75</td><td align="center" valign="middle" >0.61</td><td align="center" valign="middle" >0.49</td></tr><tr><td align="center" valign="middle" >P<sub>HU7-2</sub></td><td align="center" valign="middle" >0.62</td><td align="center" valign="middle" >0.67</td><td align="center" valign="middle" >0.39</td></tr><tr><td align="center" valign="middle" >P<sub>HU7-3</sub></td><td align="center" valign="middle" >0.58</td><td align="center" valign="middle" >0.49</td><td align="center" valign="middle" >0.45</td></tr><tr><td align="center" valign="middle" >P<sub>HU8-1</sub></td><td align="center" valign="middle" >0.77</td><td align="center" valign="middle" >0.75</td><td align="center" valign="middle" >0.73</td></tr><tr><td align="center" valign="middle" >P<sub>HU8-2</sub></td><td align="center" valign="middle" >0.69</td><td align="center" valign="middle" >0.74</td><td align="center" valign="middle" >0.62</td></tr><tr><td align="center" valign="middle" >P<sub>HU8-3</sub></td><td align="center" valign="middle" >0.44</td><td align="center" valign="middle" >0.51</td><td align="center" valign="middle" >0.59</td></tr></tbody></table></table-wrap><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> Input parameters and calculated process factors</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  colspan="3"  >Sample Weights</th><th align="center" valign="middle"  rowspan="2"  >Network Learning Rate</th><th align="center" valign="middle"  rowspan="2"  >Permissible Error</th><th align="center" valign="middle"  rowspan="2"  >Maximum Number of Iterations</th><th align="center" valign="middle"  rowspan="2"  >Number of Hidden Layer Nodes</th></tr></thead><tr><td align="center" valign="middle" >Training</td><td align="center" valign="middle" >Validation</td><td align="center" valign="middle" >Testing</td></tr><tr><td align="center" valign="middle" >0.7</td><td align="center" valign="middle" >0.2</td><td align="center" valign="middle" >0.1</td><td align="center" valign="middle" >0.05</td><td align="center" valign="middle" >0.001</td><td align="center" valign="middle" >10000</td><td align="center" valign="middle" >11</td></tr></tbody></table></table-wrap></sec></sec><sec id="s4"><title>4. Conclusion</title><p>In this work, hydraulic flow units are delineated, and predicted from well loggings and validated on the basis of data mining method, reservoir performance, petrophysical properties and lithology. At the same time, the software was written in the prediction process, and the results were compared with the mature commercial system results for verifying its application. This study proves that in the offshore system of low permeability, utilizing the integrated method of data mining and flow unit identification could reach higher accurate rate on the prediction of uncored intervals. The same way could be promoted on several trial blocks with similar regional geological background.</p></sec><sec id="s5"><title>Acknowledgements</title><p>This work was financially supported by The Guangxi Natural Science Foundations (2016GXNSFBA380180, 2017GXNSFAA198105), The Guangxi Education Department Scientific Research Project (2017KY0792), The Beibu Gulf University Scientific Research Project (2016PY-GJ09), The Opening Project of Guangxi Colleges and Universities Key Laboratory of Beibu Gulf Oil and Natural Gas Resource Effective Utilization (2016KLOG01, 2017KLOG25).</p></sec><sec id="s6"><title>Conflicts of Interest</title><p>The author declares no conflicts of interest regarding the publication of this paper.</p></sec><sec id="s7"><title>Cite this paper</title><p>Yu, P. (2019) An Integrated Method of Data Mining and Flow Unit Identification for Typical Low Permeability Reservoir Prediction. 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