Homogenization Approach to the Dispersion Theory for Reactive Transport through Porous Media

Homogenization Approach to the Dispersion Theory for Reactive Transport through Porous Media

We study the homogenization problem for a convection-diffusion equation in a periodic porous medium in the presence of chemical reaction on the pores surface. Mathematically this model is described in terms of a solution to a system of convection-diffusion equation in the medium and ordinary differential equation defined on the pores surface. These equations are coupled through the boundary con...

Sequential Homogenization of Reactive Transport in Polydisperse Porous Media

Bio BIO I'm a professional computational scientist. I specialize in simulations of complex multidimensional flows and transport (6 years), simulation of heat transfer (6 years), parallel computations in MPI (6 years), scientific visualization and data processing (6 years), simulations and mesh preparation in OpenFOAM (2 years), development in Wolfram Mathematica (6 years), Python and Fortran 90...

An Improved Model to Simulate Mud (Drilling Fluid) Dispersion through Porous Media

An improved model of mud dispersion has been introduced in this work. The advantages of this model consist of a new analytical correlation for dispersivity by using resistivity log data and using a new aspect of capacitance dispersion model. Mathematical formulations were expressed, solved by numerical model taking advantage of actual log and formation data. Achieved results yielded r...

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

Motivated by well-driven flow transport in porous media, Chen and Yue proposed a numerical homogenization method for Green function [Multiscale Model. Simul. 1 (2003) 260–303]. In that paper, the authors focused on the well pore pressure, so the local error analysis in maximum norm was presented. As a continuation, we will consider a fully discrete scheme and its multiscale error analysis on th...

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