Analytical approximations for flow in compressible, saturated, one-dimensional porous media

被引：7

作者：

Barry, D. A. ^{[1
]}

Lockington, D. A.

Jeng, D. -S.

Parlange, J. -Y.

Li, L.

Stagnitti, F.

机构：

[1] Ecole Polytech Fed Lausanne, Inst Environm Sci & Technol, Stn 2, CH-1015 Lausanne, Switzerland

[2] Univ Queensland, Sch Engn, Brisbane, Qld 4072, Australia

[3] Univ Sydney, Dept Civil Engn, Sydney, NSW 2006, Australia

[4] Cornell Univ, Dept Biol & Environm Engn, Ithaca, NY 14853 USA

[5] Hohai Univ, Ctr Ecoenvironm Modelling, Nanjing 210098, Peoples R China

[6] Deakin Univ, Sch Ecol & Environm, Warrnambool, Vic 3280, Australia

来源：

ADVANCES IN WATER RESOURCES | 2007年 / 30卷 / 04期

基金：

澳大利亚研究理事会;

关键词：

nonlinear diffusion; constant flow rate hydraulic conductivity test; permeability measurement; effect of pressure on permeability; effect of pressure on porosity;

D O I：

10.1016/j.advwatres.2006.08.003

中图分类号：

TV21 [水资源调查与水利规划];

学科分类号：

081501 ;

摘要：

A nonlinear model for single-phase fluid flow in slightly compressible porous media is presented and solved approximately. The model assumes state equations for density, porosity, viscosity and permeability that are exponential functions of the fluid (either gas or liquid) pressure. The governing equation is transformed into a nonlinear diffusion equation. It is solved for a semi-infinite domain for either constant pressure or constant flux boundary conditions at the surface. The solutions obtained, although approximate, are extremely accurate as demonstrated by comparisons with numerical results. Predictions for the surface pressure resulting from a constant flux into a porous medium are compared with published experimental data. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：927 / 936

页数：10

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