An interconnected set of algorithms is presented for the simulation of two-phase ow in porous media achieving more than two orders of magnitudes acceleration. The accuracy and e ciency of the approach is demonstrated through 2D and 3D numerical experiments for a range of two-phase porous media problems involving single cracks, heterogeneous permeability, and hydrophobic and hydrophilic media

A new model for turbulent flows in porous media is developed. The spatialand time fluctuations in this new model are tied together and treated as a single quantity. This novel treatment of the fluctuations leads to a natural construction of the k and e type equations for rigid and isotropic porous media in which all the kinetic energy filtered in the averaging process is modeled. The same terms...

In this paper we discuss the formulation of the governing equations that describe ow of uids in porous media Various types of uid ow ranging from single phase ow to compositional ow are considered It is shown that all the di erential equations governing these types of ow can be e ectively rewritten in a fractional ow formulation i e in terms of a global pressure and saturation or saturations an...

Water dripping into subterranean cavities within fractured porous media is studied in order to improve estimates of dripping rates, drop sizes, and chemical composition of droplets that could affect long-term integrity of waste disposal canisters placed in caverns. Steady state liquid flux in fracture surfaces supported by flow in partially liquid-filled grooves and liquid films in adjacent pla...

A mesoscopic numerical tool has been developed in this study for predictions of the effective thermal conductivities for microscale random porous media. To solve the energy transport equation with complex multiphase porous geometries, a lattice Boltzmann algorithm has been introduced to tackle the conjugate heat transfer among different phases. With boundary conditions correctly chosen, the alg...

∗ In this chapter we uncover through numerical simulation the velocity and pressure fields inside a model porous medium composed of an infinitely extending array of staggered square rods. These microtransport simulations allow for the prediction of macrotransport parameters that are of value to the volume-averaged description of fluid motion in porous media. We focus on computing the macroscopi...

Biofilm growth occurs in a variety of random porous media in a range of industrial processes; prediction of its growth and subsequent influence on hydrodynamics is hence desirable. In this study, we present the first numerical 3D pore-scale model of biofilm growth in porous media, based on a lattice Boltzmann simulation platform complemented with an individual-based biofilm model (IbM). We use ...

An analytical solution is presented for a robust four-layer porous model for the description of the LDL transport in the arterial wall coupled with the transport in the lumen. The endothelium, intima, internal elastic lamina (IEL) and media are all treated as homogenous porous media and modeled using volume-averaged porous media transport equations. The analytical solution is derived based on c...

The numerical analysis of the mechanisms governing the flow in the porous region is of a priority interest for modeling porous media flows. The present study is a prerequisite for elaborating the efficient turbulence modeling techniques in porous media flows. The main objective of present study is to provide a detailed pore scale description of fluid flow and to analyze the formation of the coh...

Scientific image processing involves a variety of problems including image modeling, reconstruction, and synthesis. In this paper we develop a constrained sampling approach for porous media synthesis and reconstruction in order to generate artificial samples of porous media. Our approach is different from current porous media reconstruction methods in which the Gibbs probability distribution is...