非线性多层渗流系统的数值方法及其应用

袁益让; 杜宁; 王文洽; 韩玉笈; 杨成顺

非线性多层渗流系统的数值方法及其应用

1.
山东大学数学研究所,济南 250100;2.胜利石油管理局物探研究院,山东东营 257022

基金项目: 国家重点基础研究专项经费资助项目(G19990328);国家攻关资助项目(20050200069);国家自然科学基金资助项目(10372052,10271066);国家教育部博士点基金资助项目(20030422047)

详细信息

作者简介:
袁益让(1935- ),男,江苏靖江人,教授(联系人.Tel:+86-531-88364732;Fax:+86-531-88564652;E-mail:yryuan@sdu.edu.cn).

中图分类号: O241.82
计量
- 文章访问数: 2568
- HTML全文浏览量: 190
- PDF下载量: 648
- 被引次数: 0
出版历程
- 收稿日期: 2005-08-18
- 修回日期: 2006-08-04
- 刊出日期: 2006-11-15

Numerical Method and Application for the Three-Dimensional Nonlinear System of Dynamics of Fluids in Porous Media

1.
Institute of Mathematics, Shandong University, Jinan 250100, P. R. China;

摘要

摘要: 对多层非线性渗流系统提出适合并行计算的迎风分数步差分格式,利用变分形式、能量方法、差分算子乘积交换性、高阶差分算子的分解、先验估计的理论和技巧,得到收敛性的最佳阶的误差估计．该方法已成功的应用到油资源渗流力学运移聚集数值模拟的生产实际中．
- 渗流系统 /
- 非线性 /
- 迎风分数步 /
- 收敛性 /
- 油资源数值模拟
Abstract: For the system of multilayer dynamics of fluids in porous media,the second order upwind finite difference fractional steps schemes applicable to parallel arithmetic are put forward.Some techniques,such as calculus of variations,energy method,multiplicative commutation rule of difference operators,decomposition of high order difference operators and prior estimates were adopted.Optimal order estimates were derived to determine the error in the second order approximate solution. These methods have already been applied to the numerical simulation of migration-accumulation of oil resources.
- coupled system /
- nonlinear /
- upwind fractional step /
- convergence /
- numerical simulation of oil resource

HTML全文

参考文献(22)

[1]	Ewing R E.The Mathematics of Reservoir Simulation[M].Philadelphia:SIAM,1983.
[2]	Bredehoeft J D,Pinder G F.Digital analysis of areal flow in multiaquifer groundwater systems:a quasi-three-dimensional model[J].Water Resources Research,1970,6(3):893—888.
[3]	Don W, Emil O F.An iterative quasi-three-dimensional finite element model for heterogeneous multiaquifer systems[J].Water Resources Research,1978,14(5):943—952. doi: 10.1029/WR014i005p00943
[4]	Ungerer P,Dolyiez B,Chenet P Y,et al.A 2-D model of basin petroleum bytwo-phase fluid flow, application to some case studies[A].In:Doligez Ed.Migration of Hydrocarbon in Sedimentary Basins[C].Paris:Editions Techniq,1987,414—455.
[5]	Ungerer P.Fluid flow, hydrocarbon generation and migration[J].AAPG Bull,1990,74(3):309—335.
[6]	Douglas Jr J, Russell T F.Numerical method for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures[J].SIAM J Numer Anal,1982,19(5):871—885. doi: 10.1137/0719063
[7]	Douglas Jr J.Finite difference methods for two-phase incompressible flow in porous media[J].SIAM J Numer Anal,1983,20(4):681—696. doi: 10.1137/0720046
[8]	Peaceman D W.Fundamental of Numerical Reservoir Simulation[M].Amsterdam: Elsevier, 1980.
[9]	Marchuk G I.Splitting and alternating direction method[A].In: Ciarlet P G, Lions J L,Eds.Handbook of Numerical Analysis[C].Paris: Elesevior Science Publishers B V,1990,197—460.
[10]	Ewing R E, Lazarov R D, Vassilev A T. Finite difference scheme for parabolic problems on a composite grids with refinement in time and space[J].SIAM J Numer Anal,1994,31(6):1605—1622. doi: 10.1137/0731083
[11]	Lazarov R D,Mischev I D, Vassilevski P S. Finite volume methods for convection-diffusion problems[J].SIAM J Numer Anal,1996,33(1):31—55. doi: 10.1137/0733003
[12]	袁益让.可压缩两相驱动问题的分数步长特征差分格式[J].中国科学,A辑,1998,28(10):893—902.
[13]	袁益让,赵卫东,程爱杰,等.多层油资源运移聚集的数值模拟和实际应用[J].应用数学和力学,2002,23(8):827—836.
[14]	袁益让, 韩玉笈.油资源二次运移大规模并行数值模拟及其在胜利油田应用[J].应用数学和力学,2004,25(5):511—522.
[15]	袁益让,梁栋,芮洪兴.海水入侵及防治工程的后效预测[J].应用数学和力学,2001,22(11):1163—1171.
[16]	袁益让.多层渗流方程组合系统的迎风分数步差分方法[J].中国科学,A辑,2001,31(9):791—806.
[17]	萨马尔斯基 A A,安德烈耶夫 B B. 椭圆型方程差分方法[M].武汉大学计算数学教研室译，北京:科学出版社,1984.
[18]	袁益让.油藏数值模拟中动边值问题的特征差分方法[J].中国科学,A辑,1994,24(10):1029—1036.
[19]	袁益让.强化采油数值模拟的特征差分方法和l2估计[J].中国科学,A辑,1993,23(8):801—810.
[20]	Hubbert M K.Entrapment of petroleum under hydrodynamic conditions[J].AAPG Bull,1953,37(8):1954—2024.
[21]	Dembicki H Jr. Secondary migration of oil experiments supporting efficient movement of separate, buoyant oil phase along limited conduits[J].AAPG Bull,1989,73(8):1018—1021.
[22]	Calalan L. An experimental study of secondary oil migration[J].AAPG Bull,1992,76(5):638—650.

施引文献

资源附件(0)

访问统计

计量

文章访问数: 2568
HTML全文浏览量: 190
PDF下载量: 648
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

留言板

非线性多层渗流系统的数值方法及其应用

作者简介:
袁益让(1935- ),男,江苏靖江人,教授(联系人.Tel:+86-531-88364732;Fax:+86-531-88564652;E-mail:yryuan@sdu.edu.cn).

计量

Numerical Method and Application for the Three-Dimensional Nonlinear System of Dynamics of Fluids in Porous Media

计量

目录

留言板

非线性多层渗流系统的数值方法及其应用

作者简介: 袁益让(1935- ),男,江苏靖江人,教授(联系人.Tel:+86-531-88364732;Fax:+86-531-88564652;E-mail:yryuan@sdu.edu.cn).

计量

出版历程

Numerical Method and Application for the Three-Dimensional Nonlinear System of Dynamics of Fluids in Porous Media

计量

出版历程

目录

作者简介:
袁益让(1935- ),男,江苏靖江人,教授(联系人.Tel:+86-531-88364732;Fax:+86-531-88564652;E-mail:yryuan@sdu.edu.cn).