Modelling Water Flow in Unsaturated Porous Media: Accounting for Nonlinear Permeability and Material Heterogeneity

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Springer Science & Business Media, Oct 11, 2012 - Science - 238 pages
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The book focuses on two issues related to mathematical and numerical modelling of flow in unsaturated porous media. In the first part numerical solution of the governing equations is discussed, with particular emphasis on the spatial discretization of highly nonlinear permeability coefficient. The second part deals with large scale flow in heterogeneous porous media of binary structure. Upscaled models are developed and it is shown that the presence of material heterogeneities may give rise to additional non-equilibrium terms in the governing equations or to hysteresis in the averaged constitutive relationships.
 

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Contents

1 Introduction
1
2 Mathematical Models of Flow in Porous Media
9
3 Numerical Solution of Flow Equations
49
4 Computation of InterNodal Permeabilities for Richards Equation
91
5 Upscaling from Darcy Scale to Field Scale
139
6 Flow in Binary Media with Heterogeneous Hydraulic Diffusivity
176
7 Flow in Binary Media with Heterogeneous AirEntry Pressure
215
8 Summary
235
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