A model for fluid accumulation and flow in a three-dimensional porous medium

被引:1
作者
Li, H
White, L [1 ]
Zaman, M
机构
[1] Univ Oklahoma, Dept Math, Norman, OK 73019 USA
[2] Univ Oklahoma, Dept Civil Engn, Norman, OK 73019 USA
关键词
porous media; model validation; parameter estimations;
D O I
10.1016/S0096-3003(99)00128-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we present a model describing the accumulation and passage of fluid through a domain SZ comprising a porous medium. There is an inflow through a portion of the boundary as well as an outflow through a separate part of the boundary. The model consists of an initial value problem governing the growth of the region saturated with fluid and an elliptic boundary value problem describing the flow of the fluid within that region. The model is tested using field data obtained from the drainage of a highway roadbed. (C) 2000 Elsevier Science Inc. All rights reserved.
引用
收藏
页码:177 / 196
页数:20
相关论文
共 8 条
[1]  
[Anonymous], 1982, PARTIAL DIFFERENTIAL
[2]  
BEAR D, 1968, PHYSICAL PRINCIPLES
[3]  
CHAVENT G, 1986, MATH MODELS FINIET E
[4]  
Duvaut G., 1976, GRUNDLEHREN MATH WIS, DOI 10.1007/978-3-642-66165-5
[5]  
Ladyzhenskaya O., 1968, LINEAR QUASILINEAR E, DOI DOI 10.1090/MMONO/023
[6]  
Peaceman D.W., 2000, FUNDAMENTALS NUMERIC
[7]  
Schultz M.H., 1973, SPLINE ANAL
[8]   A simple model for fluid accumulation and flow in a porous medium [J].
White, LW ;
Zaman, M .
APPLIED MATHEMATICS AND COMPUTATION, 1998, 90 (2-3) :181-203