GeoPlanet: Earth and Planetary Sciences: Accounting for Nonlinear Permeability and Material Heterogeneity

Szymkiewicz, Adam

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.

Details

Published by: Springer

Publication Date: 2012-10-11

Format: Hardcover

ISBN-13: 9783642235580

DOI: 10.1007/978-3-642-23559-7

Dimensions: 235cm x155cm

Pages: 238