2-PHASE FLOW IN HETEROGENEOUS POROUS-MEDIA .1. MODEL DEVELOPMENT

被引:188
作者
KUEPER, BH [1 ]
FRIND, EO [1 ]
机构
[1] UNIV WATERLOO,WATERLOO CTR GROUNDWATER RES,WATERLOO N2L 3G1,ONTARIO,CANADA
关键词
D O I
10.1029/91WR00266
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
A two-dimensional finite difference model to study the simultaneous movement of a dense, nonaqueous phase liquid and water in heterogeneous porous media is developed. A distinctive feature of the solution is that the primary variables solved for, wetting phase pressure and wetting phase saturation, are both existent throughout the solution domain regardless of whether the nonwetting phase is present. This eliminates the need to specify small, fictitious saturations of nonwetting fluid ahead of the advancing front where only wetting fluid is present, as is often required in conventional simulators. The model is therefore well suited for the simulation of groundwater contamination problems involving the advance of immiscible liquids into previously uncontaminated groundwater systems. The finite difference equations are solved fully implicitly using Newton-Raphson iteration. In order to minimize computer storage and execution time a Dupont-Kendall-Rachford iterative solver utilizing Orthomin acceleration has been incorporated. The numerical model is verified against an exact analytical solution which incorporates fully the effects of both relative permeability and capillary pressure. The model is validated through comparison to a parallel-plate laboratory experiment involving the infiltration of tetrachloroethylene into a heterogeneous sand pack.
引用
收藏
页码:1049 / 1057
页数:9
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