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

doi:10.1007/s10483-015-1917-6

Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (3): 379-400.doi: https://doi.org/10.1007/s10483-015-1917-6

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

Yirang YUAN, Aijie CHENG, Danping YANG, Changfeng LI, Yunxin LIU

Institute of Mathematics, Shandong University, Jinan 250100, China

收稿日期:2014-05-06 修回日期:2014-07-11 出版日期:2015-03-01 发布日期:2015-03-01
通讯作者: Yirang YUAN E-mail:yryuan@sdu.edu.cn
基金资助:
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), and the Natural Science Foundation of Shandong Province of China (No. ZR2011AM015)

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

Yirang YUAN, Aijie CHENG, Danping YANG, Changfeng LI, Yunxin LIU

Institute of Mathematics, Shandong University, Jinan 250100, China

Received:2014-05-06 Revised:2014-07-11 Online:2015-03-01 Published:2015-03-01
Contact: Yirang YUAN E-mail:yryuan@sdu.edu.cn
Supported by:
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), and the Natural Science Foundation of Shandong Province of China (No. ZR2011AM015)

摘要/Abstract

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.

关键词: enhanced (chemical) oil production, application in actual oilfield, second-order implicit upwind fractional step difference, three-dimensional porous coupled system on consideration capillary force, optimal order l² estimate

Abstract: 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.

Key words: second-order implicit upwind fractional step difference, application in actual oilfield, optimal order l² estimate, three-dimensional porous coupled system on consideration capillary force, enhanced (chemical) oil production

中图分类号:

O241.82

Yirang YUAN;Aijie CHENG;Danping YANG;Changfeng LI;Yunxin LIU. Theory and application of numerical simulation method of capillary force enhanced oil production[J]. Applied Mathematics and Mechanics (English Edition), 2015, 36(3): 379-400.

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

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

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