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Numerical simulation of non-Archie electrophysical property of saturated rock with lattice Boltzmann method

Petroleum Science 2009年第1期6卷 24-28页

作者： Yue Wenzheng Tao Guo Liu Dongming Yang Wendu State Key Laboratory of Petroleum Resource and Prospecting China University of Petroleum Beijing 102249 China Key Laboratory of Earth Prospecting and Information Technology China University of Petroleum Beijing 102249 China Research Centre of Well Logging CNPC Key Laboratory of Well Logging China University of Petroleum Beijing 102249 China CNPC Logging Changqing Business Division Xi＇an Shaanxi 710201 China Sichuan Petroleum Administration Logging Company Ltd. CNPC Chongqing 401147 China

The electrophysical property of saturated rocks is very important for reservoir identification and evaluation. In this paper, the lattice Boltzmann method （LBM） was used to study the electrophysical property of rock saturated with fluid because of its advantages over conventional numerical approaches in handling complex pore geometry and boundary conditions. The digital core model was constructed through the accumulation of matrix grains based on their radius distribution obtained by the measurements of core samples. The flow of electrical current through the core model saturated with oil and water was simulated on the mesoscopic scale to reveal the non-Archie relationship between resistivity index and water saturation （I-Sw）. The results from LBM simulation and laboratory measurements demonstrated that the I-Sw relation in the range of low water saturation was generally not a straight line in the log-log coordinates as described by the Archie equation. We thus developed a new equation based on numerical simulation and physical experiments. This new equation was used to fit the data from laboratory core measurements and previously published data. Determination of fluid saturation and reservoir evaluation could be significantly improved by using the new equation.

关键词： Non-Archie relation digital core model lattice Boltzmann method numerical simulation rock physical experiment

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