Theory and application of numerical simulation method of capillary force enhanced oil production

作     者：Yirang YUAN Aijie CHENG Danping YANG Changfeng LI Yunxin LIU 

作者机构：Institute of MathematicsShandong University 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2015年第36卷第3期

页      面：379-400页

核心收录：

学科分类：0820[工学-石油与天然气工程] 08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0802[工学-机械工程] 082002[工学-油气田开发工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Project supported by the Major State Basic Research Development Program of China(No.G19990328) the National Natural Science Foundation of China(Nos.10771124,10372052,and 11101244) the National Tackling Key Problems Program of China(Nos.2011ZX05011-004,2011ZX05052,and 2005020069) the Doctorate Foundation of the Ministry of Education of China(No.20030422047) the Natural Science Foundation of Shandong Province of China(No.ZR2011AM015) 

主　　题：enhanced （chemical） oil production system on consideration ference optimal order l2 capillary force second-order three-dimensional porous coupled implicit upwind fractional step difestimate 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 l2 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.