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Research on 3D Forward Modeling of Complex Resistivity Method Considering Both IP and Electromagnetic Effect

Author: WangLiang
Tutor: TanHanDong
School: Chinese Geology University (Beijing)
Course: Earth Exploration and Information Technology
Keywords: Complex Resistivity Cole-Cole model Staggered grid finite difference method Incomplete Cholesky decomposition
CLC: P631.3
Type: Master's thesis
Year: 2007
Downloads: 221
Quote: 0
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Abstract


Electromagnetic exploration to solve geological problems is based on rock conductivity ( or resistance ) differences and induced polarization ( induced polarization ) feature differences . Some scholars use simple mathematical model represents the frequency domain in order to stimulate the electrical characteristics based on the nature of complex resistivity of rock , such as the Cole-Cole model . Practice shows that complex resistivity according to the model parameters of rock , such as zero frequency resistivity (ρ0), the polarization ratio (m), the time constant (τ) and frequency correlation coefficient (c) , etc., quantitative evaluation anomaly electric characteristics . Therefore, in-depth study of this complex resistivity anomaly parameter extraction method has important theoretical and practical significance. Because this method is observed as the complex resistivity , so called complex resistivity method (CR). Spectral induced polarization in the actual field data , the total includes different levels of electromagnetic coupling , therefore , the presence of both induced polarization and electromagnetic coupling effects , the visual nature of complex resistivity , induced polarization method of spectrum is important . This paper first discusses some of the rock complex resistivity mathematical model and its corresponding equivalent circuit model , and one of the classical model - Cole-Cole model complex resistivity spectral characteristics were discussed, and then based on uniform rock complex resistivity mathematical analysis of the model , the Cole-Cole model representation of the underground anomalies complex resistivity of each subdivision unit into a staggered grid finite difference solution of three-dimensional electromagnetic field uniform geodetic calculations, to achieve galvanic ground excitation source , the receiver case complex resistivity forward modeling three-dimensional electromagnetic field . In the forward calculation , the introduction of staggered grid finite difference method , combined with incomplete Cholesky preconditioning conjugate gradient iteration Dual forward calculation method , this method is fast , high precision, the results are stable , able to adapt numerical simulation of three-dimensional complex media , three-dimensional electromagnetic inversion foundation. For horizontal electric dipole source is based on the ground in case of excitation forward to receive the results showed that three-dimensional complex resistivity electromagnetic response of the body by electromagnetic coupling effects and induced polarization effect co-produced , frequency, polarization , frequency correlation coefficient as well as the excitation source position changes on the final model will have some impact response .

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CLC: > Astronomy,Earth Sciences > Geology > Geology, mineral prospecting and exploration > Geophysical exploration > Electrical prospecting
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