Numerical Homogenization of Well Singularities in the Flow Transport through Heterogeneous Porous Media: Fully Discrete Scheme

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

Numerical Simulation and Estimation of the Transvers Macrodispersivity Coefficient of Aqueous Phase (Miscible) Contaminants of Salt Water in a Heterogeneous and Homogeneous Porous Media

Deterioration of groundwater resources in coastal regions due to the progression of saline water in aquifers in these regions is currently one of the important issues in providing water needs in these areas. In coastal regions, saline water enters the aquifer from below in shape of wedge. Due to the difference in the density between fresh and salty water, an interface zone forms between two flu...

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...

A Discrete Singular Convolution Method for the Seepage Analysis in Porous Media with Irregular Geometry

A novel discrete singular convolution (DSC)  formulation  is  presented for the seepage analysis in irregular geometric porous media. The DSC is a new promising numerical approach which has been recently applied to solve several engineering problems. For a medium with regular geometry, realizing of the DSC for the seepage analysis is straight forward. But DSC implementation for a medium with ir...