Parallel Nonoverlapping DDM Combined with the Characteristic Method for Incompressible Miscible Displacements in Porous Media

Instability Analysis of Miscible Displacements in Homogeneous Porous Media

A Second Order Characteristic Method for Approximating Incompressible Miscible Displacement in Porous Media

An approximation scheme is defined for incompressible miscible displacement in porous media. This scheme is constructed by two methods. Under the regularity assumption for the pressure, cubic Hermite finite element method is used for the pressure equation, which ensures the approximation of the velocity smooth enough. A second order characteristic finite element method is presented to handle th...

Numerical Analysis of Finite Element Methods for Miscible Displacements in Porous Media

Finite element methods are used to solve a nonlinear system of partial diierential equations which models incompressible miscible displacement of one uid by another in porous media. From a backward nite diierence discretization we deene a sequentially implicit time-stepping algorithm which uncouples the system. The Galerkin method is employed to approximate the pressure, and improvement velocit...

Comparison of Thermal Dispersion Effects for Single and two Phase Analysis of Heat Transfer in Porous Media

The present work involves numerical simulation of a steady, incompressible forcedconvection fluid flow through a matrix of porous media between two parallel plates at constanttemperature. A Darcy model for the momentum equation was employed. The mathematical model forenergy transport was based on single phase equation model which assumes local thermal equilibriumbetween fluid and solid phases. ...

Axi-Symmetric Deformation Due to Various Sources in Saturated Porous Media with Incompressible Fluid

The general solution of equations of saturated porous media with incompressible fluid for two dimensional axi-symmetric problem is obtained in the transformed domain. The Laplace and Hankel transforms have been used to investigate the problem. As an application of the approach concentrated source and source over circular region have been taken to show the utility of the approach. The transforme...