DIRECT SIMULATION OF RESISTIVITY ON POROUS MODEL OBTAINED FROM HIGH-RESOLUTION X-RAY CT

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  • 微細構造を考慮した多孔質体モデルの比抵抗値の直接計算

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Resistivity imaging of underground is widely used to infer the behavior of groundwater flow and to comprehend the changes of ground state caused by ground improvement. In order to increase the accuracy in the estimation of geological properties derived from resistivity imaging, we need to reveal the relationship between the resistivity and several physical parameters such as porosity, degree of saturation, and electrical conductivity of pore fluid. We have conducted a series of finite element simulations with above parameters to directly determine resistivity of porous media with the detailed three-dimensional porous models obtained from the high-resolution X-ray CT. Subsequently, the simulation results are compared with those obtained from experiments and with those derived from an empirical law, i.e., Archie's equation. According to the comparison, the simulation results are in good agreements with experimental results and indicate similar function form that proposed in the empirical equation being available for unsaturated state. Finally, we discuss the limitation of the empirical equation and infer that the empirical equation is applicable to geo-materials having a degree of saturation exceeding 40%.

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