油水两相流非活塞式驱替的数值算法探讨  

A STUDY ON THE NUMERICAL ALGORITHM FOR THE NON-PISTON-LIKE DISPLACEMENT IN OIL-WATER TWO-PHASE FLOWS

作　　者：吴斌[1] 刘志峰[1] 王晓宏[1] 

机构地区：[1]中国科学技术大学热科学和能源工程系,合肥230026

出　　处：《数值计算与计算机应用》2012年第4期274-282,共9页Journal on Numerical Methods and Computer Applications

基　　金：国家自然科学基金项目(编号:11172295);安徽省自然科学基金项目(编号:1208085QE95);中国科学院知识创新工程重大项目(编号:KJCX1-YW-21)资助

摘　　要：本文讨论了油藏数值模拟中油水两相驱替的数值计算方法.通过利用特征线方法分析Buckley-Leverett方程,提出了活塞式驱替和非活塞式驱替的严格数学划分条件.由于非活塞式驱替的饱和度在全场连续,本文建议在此情况下对网格界面处相对渗透率的离散值不采用常用的在迎风方向取值的做法,而直接取相邻网格的算术平均值.数值计算结果表明,对非活塞式驱替而言,该算法不仅可以提高计算精度,而且可以减小网格取向效应.Based upon the analysis of Buckley-Leverret equation by the characteristic line method, a mathematical judging condition is proposed to distinguish between the piston-like displacement and the non-piston-like displacement. Due to that the spatial distributions of the phase saturations keep the continuity, for the non-piston-like displacement, it is suggested that the internodal transmissibility be evaluated by the arithmetic average of the transmissibilities on its neighbor grids rather than by the upstream value. Numerical examples show that the proposed algorithm for the non-piston-like displacement can not only improve the numerical accuracy but also decrease the grid orientation effects.

关 键 词：渗流 多相流 计算流体力学 油藏数值模拟 两相驱替 

分 类 号：TE357.4[石油与天然气工程—油气田开发工程]