Flow dynamics analyses of pathophysiological liver lobules using porous media theory

Percolation Theory for Flow in Porous Media - Hunt / Ewing, ReadingSample

Dynamic Analysis of Porous Media using Generalized Plasticity Model and Non-Darcy Flow Rule

Biot equations that consider fluid and soil interaction at the same time are the most applicable relationships in the soil dynamic analysis. However, in dynamic analysis, due to the sudden increase in the excess pore pressure caused by seismic excitation and the occurrence of high hydraulic gradients, the assumption of the Darcy flow used in these equations is questionable. In the present study...

Coupling Fluid Flow with Porous Media Flow

The transport of substances back and forth between surface water and groundwater is a very serious problem. We study herein the mathematical model of this setting consisting of the Stokes equations in the fluid region coupled with the Darcy equations in the porous medium, coupled across the interface by the Beavers–Joseph–Saffman conditions. We prove existence of weak solutions and give a compl...

Aerosol Dynamics in Porous Media

In this chapter we present a new method for simulating the motion of a disperse particle phase in a carrier gas through porous media. We assume a sufficiently dilute particle-laden flow and compute, independently of the disperse phase, the steady laminar fluid velocity using the Immersed Boundary (IB) method. Given the velocity of the carrier gas, the equations of motion for the particles exper...

Uncertainty Quantification for Porous Media Flow Using Multilevel Monte Carlo

Uncertainty quantification (UQ) for porous media flow is of great importance for many societal, environmental and industrial problems. An obstacle to the progress in solving such problems, as well as in solving other stochastic PDEs, SPDEs, is the extreme computational effort needed for solving realistic problems. It is expected that the computers will open the door for a significant progress i...