Upscaling of Well Singularities in the Flow Transport through Heterogeneous Porous Media

Recent Advances of Upscaling Methods for the Simulation of Flow Transport through Heterogeneous Porous Media

We review some of our recent efforts in developing upscaling methods for simulating the flow transport through heterogeneous porous media. In particular, the steady flow transport through highly heterogeneous porous media driven by extraction wells and the flow transport through unsaturated porous media will be considered. Mathematics subject classification: 65F10, 65F30.

Numerical Homogenization of Well Singularities in the Flow Transport through Heterogeneous Porous Media

Upscaling of Transport Equations for Multiphase and Multicomponent Flows

In this paper we discuss upscaling of immiscible multiphase and miscible multicomponent flow and transport in heterogeneous porous media. The discussion presented in the paper summarizes the results of in Upscaled Modeling in Multiphase Flow Applications by Ginting et al. (2004) and in Upscaling of Multiphase and Multicomponent Flow by Ginting et al. (2006). Perturbation approaches are used to ...

Two-Dimensional Solute Transport with Exponential Initial Concentration Distribution and Varying Flow Velocity

The transport mechanism of contaminated groundwater has been a problematic issue for many decades, mainly due to the bad impact of the contaminants on the quality of the groundwater system. In this paper, the exact solution of two-dimensional advection-dispersion equation (ADE) is derived for a semi-infinite porous media with spatially dependent initial and uniform/flux boundary conditions. The...

Two-Dimensional Solute Transport with Exponential Initial Concentration Distribution and Varying Flow Velocity

The transport mechanism of contaminated groundwater has been a problematic issue for many decades, mainly due to the bad impact of the contaminants on the quality of the groundwater system. In this paper, the exact solution of two-dimensional advection-dispersion equation (ADE) is derived for a semi-infinite porous media with spatially dependent initial and uniform/flux boundary conditions. The...