Intersecting fractures in porous media: mathematical and numerical analysis

Mathematical Modeling and Analysis Multigrid Homogenization of Heterogenous Porous Media

Introduction: The earth is perhaps the most obvious example of a porous medium. Flows in porous media are part of our everyday lives, from water in the garden, to oil in underground reservoirs. The mathematical modeling of flow in porous media, particularly with the ever increasing power of computers, is playing a fundamental and increasingly important role in the forecasting of petroleum reser...

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...

Mathematical Models of Flow in Porous Media

In this chapter a general model for the two-phase fluid flow in porous media is presented, together with its simplified form, known as the Richards equation, which is applicable (under specific assumptions) to describe water flow in the vadose zone. In each case the governing equations are formulated at the Darcy scale, using the capillary pressure–saturation relationship and an empirical exten...

Mathematical Models of Flow in Porous Media

In this chapter a general model for the two-phase fluid flow in porous media is presented, together with its simplified form, known as the Richards equation, which is applicable (under specific assumptions) to describe water flow in the vadose zone. In each case the governing equations are formulated at the Darcy scale, using the capillary pressure–saturation relationship and an empirical exten...

Numerical Simulation of Combustion in Porous Media