Modelling Water Flow in Unsaturated Porous Media [recurso electrónico] Accounting for Nonlinear Permeability and Material Heterogeneity

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. Front Matter....Pages i-xxi Introduction....Pages 1-8 Mathematical Models of Flow in Porous Media....Pages 9-47 Numerical Solution of Flow Equations....Pages 49-90 Computation of Inter-Nodal Permeabilities for Richards Equation....Pages 91-138 Upscaling from Darcy Scale to Field Scale....Pages 139-175 Flow in Binary Media with Heterogeneous Hydraulic Diffusivity....Pages 177-214 Flow in Binary Media with Heterogeneous Air-Entry Pressure....Pages 215-234 Summary....Pages 235-237