Modelling Water Flow in Unsaturated Porous Media - 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 stucture. 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.

List of contents

Introduction.- Mathematical Models of Flow in Porous Media.- Numerical Solution of Flow Equations.- Computation of Inter-Nodal Permeabilities for Richards Equation.- Upscaling from Darcy Scale to Field Scale.- Flow in Binary Media with Heterogenous Hydraulic Diffusivity.- Flow in Binary Media with Heterogenous Air-Entry Pressure.

Summary

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.

Product details

• Authors: Adam Szymczak, Adam Szymkiewicz
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 01.11.2012
• EAN: 9783642235580
• ISBN: 978-3-642-23558-0
• No. of pages: 238
• Dimensions: 156 mm x 242 mm x 20 mm
• Weight: 530 g
• Illustrations: XXII, 238 p.
• Series: Geoplanet: Earth and Planetary Sciences; Geoplanet: Earth and Planetary Sciences
• Subjects: Natural sciences, medicine, IT, technology > Geosciences > Geology; B, Geophysics, Water, Earth and Environmental Science, Solid Earth Sciences, Earth Sciences, Hydrology, Hydrology & the hydrosphere, Hydrology/Water Resources, Hydrogeology, Geophysics/Geodesy