数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (6): 1547-1565.doi: 10.1016/S0252-9602(15)30073-4

• 论文 • 上一篇    下一篇

THEORY AND APPLICATION OF FRACTIONAL STEP CHARACTERISTIC FINITE DIFFERENCE METHOD IN NUMERICAL SIMULATION OF SECOND ORDER ENHANCED OIL PRODUCTION

袁益让1, 程爱杰1, 羊丹平1, 李长峰1,2   

  1. 1. Institute of Mathematics, Shandong University, Jinan 250100, China;
    2. School of Economics, Shandong University, Jinan 250100, China
  • 收稿日期:2015-02-02 修回日期:2014-05-08 出版日期:2015-11-01 发布日期:2015-11-01
  • 作者简介:Yirang YUAN, E-mail: yryuan@sdu.edu.cn;Aijie CHENG, E-mail: aijie@sdu.edu.cn;Danping YANG, E-mail: dpyang@math.ecnu.edu.cn;Changfeng LI, E-mail: cfli@sdu.edu.can
  • 基金资助:

    This work is supported by the Major State Basic Research Development Program of China (G19990328), National Tackling Key Program (2011ZX05011-004, 2011ZX05052, 20050200069), National Natural Science Foundation of China (11101244, 11271231, 10771124, 10372052) and Doctorate Foundation of the Ministry of Education of China (20030422047).

THEORY AND APPLICATION OF FRACTIONAL STEP CHARACTERISTIC FINITE DIFFERENCE METHOD IN NUMERICAL SIMULATION OF SECOND ORDER ENHANCED OIL PRODUCTION

Yirang YUAN1, Aijie CHENG1, Danping YANG1, Changfeng LI1,2   

  1. 1. Institute of Mathematics, Shandong University, Jinan 250100, China;
    2. School of Economics, Shandong University, Jinan 250100, China
  • Received:2015-02-02 Revised:2014-05-08 Online:2015-11-01 Published:2015-11-01
  • Supported by:

    This work is supported by the Major State Basic Research Development Program of China (G19990328), National Tackling Key Program (2011ZX05011-004, 2011ZX05052, 20050200069), National Natural Science Foundation of China (11101244, 11271231, 10771124, 10372052) and Doctorate Foundation of the Ministry of Education of China (20030422047).

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摘要：

A kind of second-order implicit fractional step characteristic finite difference method is presented in this paper for the numerically simulation coupled system of enhanced (chemical) oil production in porous media. Some techniques, such as the calculus of variations, energy analysis method, commutativity of the products of difference operators, decomposition of high-order difference operators and the theory of a priori estimates are introduced and an optimal order error estimates in l2 norm is derived. This method has been applied successfully to the numerical simulation of enhanced oil production in actual oilfields, and the simulation results are quite interesting and satisfactory.

关键词: enhanced (chemical) oil production, three-dimensional porous coupled system, second-order implicit characteristic fractional step differences, optimal order l2 estimate, application in actual oilfields

Abstract:

A kind of second-order implicit fractional step characteristic finite difference method is presented in this paper for the numerically simulation coupled system of enhanced (chemical) oil production in porous media. Some techniques, such as the calculus of variations, energy analysis method, commutativity of the products of difference operators, decomposition of high-order difference operators and the theory of a priori estimates are introduced and an optimal order error estimates in l2 norm is derived. This method has been applied successfully to the numerical simulation of enhanced oil production in actual oilfields, and the simulation results are quite interesting and satisfactory.

Key words: enhanced (chemical) oil production, three-dimensional porous coupled system, second-order implicit characteristic fractional step differences, optimal order l2 estimate, application in actual oilfields

中图分类号: 

  • 65M06
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