流线法在二维两相渗流解析求解中的应用

Application of streamline method in solving 2D two-phase seepage problem

刘雄 王晓冬 郝明强 姜龙燕 陆程

中国地质大学能源学院，北京 100083 中国石油勘探开发研究院，北京 100083 中国地质科学院矿产资源研究所，北京 100037

School of Energy Resources, China University of Geosciences, Beijing 100083, China Research Institute of Petroleum Exploration and Development, PetroChina, Beijing 100083, China Institute of Mineral Resources, Chinese Academy of Geological Sciences, Beijing 100037, China

以五点井网为例，基于压力叠加原理及Buckley-Leverett方程，利用流线法求解特征线，建立了二维两相非活塞式驱替的解析求解模型，并运用该模型对驱替过程中的饱和度分布、驱替前缘位置等进行了计算。文中将Buckley-Leverett方程应用于多维计算，给出了二维两相渗流问题的解析求解方法，并将计算结果与Eclipse数值求解结果进行对比，验证了该方法的实用性，对渗流计算的简化及解析求解理论向多维多相的进一步发展具有一定的推进意义。

Based on the pressure superposition principle and Buckley-Leverett equation, the analytical solution model of 2D two-phase non-piston displacement in five-spot pattern was established. The model was applied to calculate the saturation distribution, displacement front position in the process of displacement. The Buckley-Leverett equation was applied into multidimensional computation in this paper. The analytic solution was given for 2D two-phase flow problem. Through comparing the analytic results with the Eclipse numerical results, the practicability of this method had been verified. It has certain significance for promoting seepage calculation simplification and further development of analytical solution theory to multi-dimension and multiphase.

10.6056/dkyqt201303016