A robust upwind mixed hybrid finite element method for transport in variably saturated porous media

Combined Mixed Hybrid Finite Element and Finite Volume Method for Flow in Porous Media

This paper describes a numerical solution for two dimensional partial differential equations modeling (or arising from) a fluid flow and transport phenomena. The diffusion equation is discretized by the mixed hybrid finite element method. The saturation equation is solved by a finite volume method. We start with incompressible single-phase flow and move step-bystep to the black-oil model and co...

PoreFlow: A complex pore-network model for simulation of reactive transport in variably saturated porous media

This study introduces PoreFlow, a pore-network modeling tool capable of simulating fluid flow and multi-component reactive and adsorptive transport under saturated and variably saturated conditions. PoreFlow includes a variety of modules, such as: pore network generator, drainage simulator, calculation of pressure and velocity distributions, and modeling of reactive solute transport accounting ...

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

A Finite-element Collocation Method for Variably Saturated Flow in Two Space Dimensions

1. INTRODUCTION This paper presents a finite-element collocation scheme for simulating variably saturated flows in two space dimensions. The scheme is an extension of a mass conserving one-dimensional formulation presented earlier [Allen and Murphy, 1985). The present exposition gives a complete description of work reported more briefly in the work by Murphy and Allen [1986]. Among the key feat...

A stochastic mixed finite element heterogeneous multiscale method for flow in porous media

A computational methodology is developed to efficiently perform uncertainty quantification for fluid transport in porous media in the presence of both stochastic permeability and multiple scales. In order to capture the small scale heterogeneity, a new mixed multiscale finite element method is developed within the framework of the heterogeneous multiscale method (HMM) in the spatial domain. Thi...