The flow past an impermeable sphere embedded in a fluid saturated porous medium was studied numerically considering valid the Brinkman−Forchheimer−Darcy (or Brinkman−Hazen−Dupuit−Darcy) model. The flow is viscous, laminar, axisymmetric, steady and incompressible. The porous medium is isotropic, rigid and homogeneous. The stream function vorticity equations were solved numerically in spherical c...

In this paper, we consider the flow of fresh and saltwater in a saturated porous medium in order to describe the seawater intrusion. Starting from a formulation with constant densities respectively of fresh and of saltwater, whose velocity is proportional to the gradient of pressure (Darcy’s law), we consider the formal asymptotic shallow water limit as the ratio between the thickness and the h...

In this paper, we consider the flow of fresh and saltwater in a saturated porous medium in order to describe the seawater intrusion. Starting from a formulation with constant densities respectively of fresh and saltwater, whose velocities are proportional to the gradient of pressure (Darcy’s law), we consider the formal asymptotic limit as the aspect ratio between the thickness and the horizont...

The theory of the acoustics of patchy-saturation in porous media is used to analyze experimental data on wave velocity and attenuation in partially water saturated limestones. It is demonstrated that the theory can be used to deduce the value of V /A, the ratio of the volume to area of the water patch, and l f , the Poisson size of the water patch. One can " hear " the shape of a patch if the p...

A microfluidic-based approach for the fabrication of organic contaminants absorbing core-shell particles is demonstrated. The hydrophobic porous core absorbs oil while the hydrophilic surface enables the particles to be well-dispersed in aqueous solutions. These particles can uptake oil from aqueous solution saturated with oil or via direct contact with oil blobs as depicted in the figure.

Abstract. Degenerate parabolic variational inequalities with convection are solved by means of a combined relaxation method and method of characteristics. The mathematical problem is motivated by Richard’s equation, modelling the unsaturated – saturated flow in porous media. By means of the relaxation method we control the degeneracy. The dominance of the convection is controlled by the method ...

This study introduces PoreFlow, a pore-network modeling tool capable of simulating fluid flow and multi-component reactive and adsorptive transport under saturated and variably saturated conditions. PoreFlow includes a variety of modules, such as: pore network generator, drainage simulator, calculation of pressure and velocity distributions, and modeling of reactive solute transport accounting ...

For the numerical simulation of flow and transport through a vertical cross-section of a heterogeneous soil, the combined flow and transport model described by Yeh et al. (1993) (henceforth referred to as "MMOC2") is used and modified for the purposes of this study. This chapter summarizes the main features of MMOC2 and the conceptual changes from the description in Yeh et al. (1993). For the d...

The one-dimensional flow of a fluid near saturation through a micro-porous membrane is considered. Upstream of the porous membrane the fluid is in a state of saturated vapor. Downstream, the fluid is in a state of unsaturated vapor. Due to the Joule-Thomson effect, the fluid is cooler at the downstream side of the membrane than at the upstream side. Due to the temperature difference and the hea...

In case of porous fluid-saturated medium the Biot’s poroelasticity theory predicts a movement of the pore fluid relative to the skeleton on seismic wave propagation through the medium. This phenomenon opens an opportunity for investigation of the flow properties of the hydrocarbon-saturated reservoirs. It is well known that relative fluid movement becomes negligible at seismic frequencies if po...