The Richards equation is widely used as a model for the flow of water in unsaturated soils. For modelling one-dimensional flow in a homogeneous soil, this equation can be cast in the form of a specific nonlinear partial differential equation with a time derivative and one spatial derivative. This paper is a survey of recent progress in the pure mathematical analysis of this last equation. The e...

The purpose of this work is to test different computational algorithms for unsaturated flow for accuracy and robustness by comparing computed results in a finite element program with analytical solutions. Because real-world problems are complex, testing codes for accuracy is often difficult. This is particularly true for flow in the vadose zone where Richards' equation is highly nonlinear. Rece...

Porous media flow models are applied in important areas of interest, including environmental studies or industrial applications. In this case, large-scale experiments are usually expensive, or even impossible, so computer simulations should replace them. Here we focus on the numerical simulation of a flow in an unsaturated, heterogeneous soil. We summarize briefly some results concerning the mo...

Citation Cueto-Felgueroso, L., and R. Juanes. " A phase field model of unsaturated flow. Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. [1] We present a phase fie...

and become focused. The focused unsaturated flow will increase relative permeability of its path, and cause flow A numerical modeling study is presented to investigate flow– further focusing. Focused flow paths exist in the unsatufocusing phenomena in a large-scale fracture network, constructed rated rock of the Yucca Mountain site. For example, using field data collected from the unsaturated z...

solute transport in unsaturated porous media can be viewed as a coupled phenomenon with waterand heat transport, together with mechanical behaviour of media. in this paper, solute transport is formulatedmathematically considering heat and water flow in deformable porous media. advection, dispersion anddiffusion of chemical species in the liquid phase are considered. convection and conduction fo...

Chemical factors and physical constraints lead to coupled effects during particle transport in unsaturated porous media. Studies on unsaturated transport as typical for soils are currently scarce. In unsaturated porous media, particle mobility is determined by the existence of an air-water interface in addition to a solid-water interface. To this end, we measured breakthrough curves and retenti...