Abstract：
In this paper, we obtained three dimensional digital cores using X-ray CT to describe the rock microstructure and applied the open morphology algorithm to simulate oil and formation water distribution in the pore space at different water saturations during the oil-displacing water flood process. The resistivity, formation factor, and resistivity index of rocks were calculated using the finite element method (FEM) and we studied the effect of rock wettability on electrical properties. The numerical simulation results indicate that the simulated formation factor and resistivity index of the water wet rock agrees well with experiments over the whole range of water saturation and extends the traditional resistivity experiment. The rock wettablilty has a large influence on the rock resistivity index. The resistivity and saturation exponent of oil wet rock are obviously larger than three of water wet rock.
LIU Xue-Feng,SUN Jian-Meng,WANG Hai-Tao. Numerical simulation of rock electrical properties based on digital cores[J]. APPLIED GEOPHYSICS, 2009, 6(1): 1-7.
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Sweeney, S. A., and Jennings, H. Y., 1960, Effect of wettability on the electrical resistivity of carbonate rock from a petroleum reservoir: J. Phys. Chem., 64, 551-553.
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Tao, G., Yue, W. Z., Xie, R.H., and Zhu, Y. H., 2005, A new method for theoretical modeling and numerical experiments on petrophysical studies: Progress of Geophysics (in Chinese), 20(1), 4 - 11.
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Tao, G., Yue, W. Z., Li, B. T., and Fang, C. L., 2006, Electrical transport properties of fluid saturated porous rocks by 2D lattice gas automata: SPE Reservoir Evaluation, 9(3), 274 - 279.
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Wang, K. W., Sun, J. M., Guan, J. T., and Su, Y. D., 2005, Percolation network modeling of electrical properties of complex reservoir rock: Applied Geophysics, 2(4), 223 - 229.
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Yue, W. Z., Tao, G., and Zhu, K. Q., 2004b, Investigation of resistivity of saturated porous media with lattice boltzmann method: Chinese Physics Letters, 21(10), 2059 - 2062.
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Yue, W. Z., Tao, G., and Zhu, K. Q., 2005, Simulation of electrical transport properties in oil-water saturated porous media with 2-D lattice gas automata: Chinese J. Geophys. (in Chinese), 48(1), 189 - 195.
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Xiang, Y., Xiang, D., Yang, Y. C., Zhang, C. J., and Liu, C. C., 1999, Study of gas recovery and water film thickness in water drive for tight sandstone gas reservoir: Journal of Chengdu University of Technology (Science & Technology Edition) (in Chinese), 26(4), 389 - 391.
2009, Vol. 6 
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