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Chapter 4





             Stacked neural network


             architecture to model the
             multifrequency conductivity/


             permittivity responses of
             subsurface shale formations




             Siddharth Misra* and Jiabo He †,a
             *
              Harold Vance Department of Petroleum Engineering, Texas A&M University, College Station,
                         †
             TX, United States, School of Computing and Information Systems, University of Melbourne,
             Parkville, VIC, Australia


               Chapter outline
               1 Introduction            103  3 Results                115
               2 Method                  106   3.1 Sensitivity analysis  117
                 2.1 Data preparation    106   3.2 Generalization capability
                 2.2 Methodology for the          of the DD log synthesis
                    dielectric dispersion (DD)    using the SNN model  121
                    log synthesis        106   3.3 Petrophysical and statistical
                 2.3 Evaluation metric/measure    controls on the DD log
                    for log-synthesis model  109  synthesis using the SNN
                 2.4 Data preprocessing  112      model                123
                 2.5 ANN models for dielectric  4 Conclusions          126
                    dispersion log generation  113  References         127

             1  Introduction
             Electromagnetic (EM) properties, such as electrical conductivity, dielectric per-
             mittivity, and magnetic permeability, are dispersive in nature, such that the EM
             properties are functions of the operating frequency of the externally applied EM
             field. Such frequency dependence is because the polarization phenomenon in a
             material does not change instantaneously with the applied EM field. EM


             a
              Formerly at the University of Oklahoma, Norman, OK, United States
             Machine Learning for Subsurface Characterization. https://doi.org/10.1016/B978-0-12-817736-5.00004-1
             © 2020 Elsevier Inc. All rights reserved.                   103
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