The main purpose of this chapter is to give a derivation, which is mathematically precise,
physically natural, and conceptually simple, of the quasilinear system of partial differential …

This book is a revised edition of my earlier book of the same title. The cur rent edition adopts
the structure of the earlier version but is much changed. The introduction now contains …

This book presents an account of theories of? ow in porous media which have proved
tractable to analysis and computation. In particular, the t-ories of Darcy, Brinkman, and …

Flows in porous media are of interest in numerous applications ranging from hydrology,
hydrocarbon recovery, gas and nuclear waste storage, to drying of wood, transfer in food …

The presence of fracture roughness, isolated contact areas and the occurrence of nonlinear
flow complicate the fracture flow process. To experimentally investigate the fluid flow …

Abstract Three-dimensional (3D) fluid flow and thermal transport modeling in discrete
fracture networks (DFNs) is critical for geothermal energy recovery from enhanced …

This paper is an overview of known and new results about the coupling of Navier-Stokes
and Darcy equations to model the filtration of incompressible fluids through porous media …

This book is one of the first devoted to an account of theories of thermal convection which
involve local thermal non-equilibrium effects, including a concentration on microfluidic …

Abstract Systems dominated by heterogeneity over a multiplicity of scales, like porous
media, still challenge our modeling efforts. The presence of disparate length-and time …

The subject of non-Darcy flow in hydraulically fractured wells has generated intense debates
recently. One aspect of the discussion concerns the inertia resistance factor, or the so-called …