Simplified numerical model for clarifying scaling behavior in the intermediate dispersion regime in homogeneous porous media

Instability Analysis of Miscible Displacements in Homogeneous Porous Media

Immobilized particles in gel matrix-type porous media. Homogeneous porous media model.

Diffusion in pure gels and gels with immobilized cells was analyzed. A model of diffusion assuming a homogeneous cell distribution in gel was improved by introducing a tortuosity value. By theoretical analysis and numerical modeling it was shown that the tortuosity of a gel with immobilized cells is the product of two factors: (1) tortuosity generated by the cells, Tc, and (2) tortuosity of the...

Numerical Model for Saturated-Unsaturated Flow in Deformable Porous Media

An integrated finite difference algorithm is presented for numerically solving the governing equation of saturated-unsaturated flow in deformable porous media. In recognition that stability of the explicit equation is a local phenomenon a mixed explicit-implicit procedure is used for marching in the time domain. In this scheme the explicit changes in potential are first computed for all element...

Dispersion in Heterogeneous Porous Media: One-Equation Non-equilibrium Model

Abstract. In this paper, the method of large-scale averaging is used to develop two different oneequation models describing dispersion in heterogeneous porous media. The first model represents the case of large-scale mass equilibrium, while the second represents the asymptotic behavior of a twoequation model obtained by large-scale averaging. It is shown that a one-equation, non-equilibrium mod...

Absolute Permeability Calculation by Direct Numerical Simulation in Porous Media

Simulating fluid flow at micro level is an ongoing problem. Simplified macroscopic flow models like Darcy’s law is unable to estimate fluid dynamic properties of porous media. The digital sample reconstruction by high resolution X-ray computed tomography scanning and fluid-dynamics simulation, together with the increasing power of super-computers, allow to carry out pore-scale simulations throu...