Gravity‐driven multiphase flow in porous media is ubiquitous in the geophysical world; the
classic case in hydrology is vertical infiltration of precipitation into a soil. For homogenous …

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 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 …

Shale gas resources are proving to be globally abundant and the development of these
resources can support the geologic storage of CO 2 (carbon dioxide) to mitigate the climate …

Reactive processes associated with multiphase flows play a significant role in mass
transport in unsaturated porous media. For example, the effect of reactions on the solid …

We present a phase field model of infiltration that explains the formation of gravity fingers
during water infiltration in soil. The model is an extension of the traditional Richards …

Optimal storage of carbon dioxide (CO 2) in aquifers requires dissolution in the aqueous
phase. Nevertheless, transfer of CO 2 from the gas phase to the aqueous phase would be …

This work arises from the need of exploring new features for modeling and optimizing water
consumption in irrigation processes. In particular, we focus on water flow model in …

We propose a thermodynamic approach to modeling unsaturated flow in porous media,
where the liquid saturation is understood as the state variable. The free energy functional is …

Infiltration into well‐sorted sands can show an anomalous behavior called saturation
overshoot where the saturation at the infiltrating front is higher than the saturation behind the …