Chin. Phys. Lett.  2004, Vol. 21 Issue (10): 2059-2062    DOI:
Original Articles |
Investigation of Resistivity of Saturated Porous Media with Lattice Boltzmann Method
YUE Wen-Zheng1,2;TAO Guo2;ZHU Ke-Qin1
1Department of Engineering Mechanics, Tsinghua University, Beijing 100084 2Well logging Key lab of CNPC, University of Petroleum, Beijing 102249
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YUE Wen-Zheng, TAO Guo, ZHU Ke-Qin 2004 Chin. Phys. Lett. 21 2059-2062
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Abstract The lattice Boltzmann method is employed to study the electrical transport properties of saturated porous media. Electrical current flow through the porous media is simulated and the relationship between resistivity index and water saturation is derived. It is found that this kind of relation is not a straight line as described by the Archie equation with the parameter n being a constant in a log--log scale. A new equation is thus developed to formulate this relation with n being a function of porosity and water saturation. The comparisons between the results by lattice Boltzmann and by the laboratory experiments on rock samples demonstrate that this numerical method can provide an alternative way for the expensive laboratory experiments to investigate the electrical transport properties of saturated porous media and can be used to explore micro mechanisms more conveniently.
Keywords: 91.60.-x      61.30.Pq      61.43.Gt     
Published: 01 October 2004
PACS:  91.60.-x (Physical properties of rocks and minerals)  
  61.30.Pq (Microconfined liquid crystals: droplets, cylinders, randomly confined liquid crystals, polymer dispersed liquid crystals, and porous systems)  
  61.43.Gt (Powders, porous materials)  
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https://cpl.iphy.ac.cn/       OR      https://cpl.iphy.ac.cn/Y2004/V21/I10/02059
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