标题：Theory and application of numerical simulation method of capillary force enhanced oil production
作者：Yuan, Yirang; Cheng, Aijie; Yang, Danping; Li, Changfeng; Liu, Yunxin
作者机构：[Yuan, Y] Institute of Mathematics, Shandong University, Jinan, 250100, China;[ Cheng, A] Institute of Mathematics, Shandong University, Jinan, 250100 更多
通讯作者地址：[Yuan, YR]Shandong Univ, Inst Math, Jinan 250100, Peoples R China.
关键词：enhanced (chemical) oil production;three-dimensional porous coupled system on consideration capillary force;second-order implicit upwind fractional step difference;optimal order l2 estimate;application in actual oilfield
摘要：A kind of second-order implicit upwind fractional step finite difference methods are presented for the numerical simulation of coupled systems for enhanced (chemical) oil production with capillary force in the porous media. Some techniques, e.g., the calculus of variations, the energy analysis method, the commutativity of the products of difference operators, the decomposition of high-order difference operators, and the theory of a priori estimate, are introduced. An optimal order error estimate in the l (2) norm is derived. The method is successfully used in the numerical simulation of the enhanced oil production in actual oilfields. The simulation results are satisfactory and interesting.