中文摘要：

浸透的岩石的 electrophysical 性质为水库鉴定和评估是很重要的。在这份报纸，格子 Boltzmann 方法(LBM ) 被用来学习岩石的 electrophysical 性质因为它超越常规数字途径的优点，在处理复杂毛孔几何学和边界条件与液体浸透了。数字核心模型基于他们核心样品的大小获得的半径分发通过矩阵谷物的累积被构造。通过核心模型的电流的流动与油浸透了，水在 mesoscopic 规模上被模仿揭示在抵抗力索引和水浸透之间的非高射炮关系(是 w ) 。从 LBM 模拟和实验室大小的结果证明是在低水浸透的范围的 w 关系通常不是在由阿尔奇方程描述了的木头木头坐标的一根直线。我们因此基于数字模拟和物理实验开发了一个新方程。这个新方程被用来从实验室核心大小适合数据并且以前出版数据。液体浸透和水库评估的决心能被使用新方程显著地改进。

英文摘要：

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.