Upscaling of a class of nonlinear parabolic equations for the flow transport in heterogeneous porous media

	Upscaling of a class of nonlinear parabolic equations for the flow transport in heterogeneous porous media
	Chen, ZM; Deng, WB ; Ye, HA
	2005-12-01
发表期刊	COMMUNICATIONS IN MATHEMATICAL SCIENCES
ISSN	1539-6746
卷号	3 期号:4 页码:493-515
摘要	We develop an upscaling method for the nonlinear parabolic equation partial derivative(t)b(u(epsilon)) - del . (g(epsilon)(x, u(epsilon)) + a(epsilon)(x,u(epsilon))del u(epsilon)) = f(x, t), which stems from the applications of the flow transport in porous media. Our direct motivation is the Richards equation which models the flow transport in unsaturated porous media. We provide a detailed convergence analysis of the method under the assumption that the oscillating coefficients are periodic. While such a simplifying assumption is not required by our method, it allows us to use homogenization theory to obtain the asymptotic structure of the solutions. Numerical experiments are carried out for the Richards equation of exponential model with periodic and randomly generated log-normal permeability to demonstrate the efficiency and accuracy of the proposed method.
关键词	upscaling nonlinear parabolic equation heterogeneous porous media
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000235557800002
出版者	INT PRESS BOSTON, INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/2379
专题	计算数学与科学工程计算研究所
通讯作者	Chen, ZM
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Inst Computat Math, Beijing 100080, Peoples R China 2.Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
推荐引用方式 GB/T 7714	Chen, ZM,Deng, WB,Ye, HA. Upscaling of a class of nonlinear parabolic equations for the flow transport in heterogeneous porous media[J]. COMMUNICATIONS IN MATHEMATICAL SCIENCES,2005,3(4):493-515.
APA	Chen, ZM,Deng, WB,&Ye, HA.(2005).Upscaling of a class of nonlinear parabolic equations for the flow transport in heterogeneous porous media.COMMUNICATIONS IN MATHEMATICAL SCIENCES,3(4),493-515.
MLA	Chen, ZM,et al."Upscaling of a class of nonlinear parabolic equations for the flow transport in heterogeneous porous media".COMMUNICATIONS IN MATHEMATICAL SCIENCES 3.4(2005):493-515.