Transformation approaches for simulating flow in variably saturated porous media

Convergent mass conservative schemes for flow and reactive solute transport in variably saturated porous media

Three-dimensional analysis of variably-saturated flow and solute transport in discretely-fractured porous media

A discrete fracture, saturated-unsaturated numerical model is developed where the porous matrix is represented in three dimensions and fractures are represented by two-dimensional planes. This allows a fully three-dimensional description of the fracture network connectivity. Solute advection and diffusion in the porous matrix are also directly accounted for. The variably-saturated flow equation...

Transformation Approaches for Simulating Flow in

Sharp fronts with rapid changes in uid saturations over short distance and time scales often exist in multiphase ow in subsurface systems. Such highly nonlinear problems are notoriously diicult to solve, and standard solution approaches are often ineecient and unreliable. We summarize four existing and one new transformation method (IT2) for solving Richards' equation within a common framework ...

Habilitation thesis Convergent mass conservative schemes for flow and reactive solute transport in variably saturated porous media

Numerical Model for Saturated-Unsaturated Flow in Deformable Porous Media

An integrated finite difference algorithm is presented for numerically solving the governing equation of saturated-unsaturated flow in deformable porous media. In recognition that stability of the explicit equation is a local phenomenon a mixed explicit-implicit procedure is used for marching in the time domain. In this scheme the explicit changes in potential are first computed for all element...