Variable-density flow and transport in porous media: approaches and challenges

被引:354
作者
Diersch, HJG
Kolditz, O
机构
[1] WASY Inst Water Resources Planning & Syst Res, Berlin, Germany
[2] Univ Tubingen, Ctr Appl Geosci, Tubingen, Germany
关键词
porous media; balance equations; phenomenological laws; constitutive relations; variable density; brine transport; saltwater intrusion; convection; thermohaline flow; fingering; Rayleigh number; instability; numerical simulation; finite element methods; adaptive methods; benchmarking;
D O I
10.1016/S0309-1708(02)00063-5
中图分类号
TV21 [水资源调查与水利规划];
学科分类号
081501 ;
摘要
We review the state of the art in modeling of variable-density flow and transport in porous media, including conceptual models for convection systems, governing balance equations, phenomenological laws, constitutive relations for fluid density and viscosity, and numerical methods for solving the resulting nonlinear multifield problems. The discussion of numerical methods addresses strategies for solving the coupled spatio-temporal convection process, consistent velocity approximation, and error-based mesh adaptation techniques. As numerical models for those nonlinear systems must be carefully verified in appropriate tests, we discuss weaknesses and inconsistencies of current model-verification methods as well as benchmark solutions. We give examples of field-related applications to illustrate specific challenges of further research, where heterogeneities and large scales are important. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码:899 / 944
页数:46
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