Modelling Water Flow in Unsaturated Porous Media

Accounting for Nonlinear Permeability and Material Heterogeneity
2012
ISBN: 978-3-642-23558-0
Verlag: Springer

Buch, Englisch, 238 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 5148 g

Reihe: GeoPlanet: Earth and Planetary Sciences

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.

Zielgruppe

Research

Autoren/Hrsg.

Szymkiewicz, Adam

Fachgebiete

• Naturwissenschaften Physik Angewandte Physik Geophysik
• Geowissenschaften Geologie Hydrologie, Hydrogeologie
• Geowissenschaften Geologie Bodenkunde, Sedimentologie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Technische Wissenschaften Technik Allgemein Modellierung & Simulation
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Geowissenschaften Geologie Geophysik

Inhaltsverzeichnis

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.