In this paper we investigate scale-dependent radial two-phase flow of liquid and gas in unsaturated porous media. First we present an equation of two-phase flow of liquid and gas in porous media in radial coordinates (ETPR) based on McWhorter’s equation in Cartesian coordinates. Then we present three analytical solutions for the ETPR: [1] an exact solution of ETPR in three dimensions for radial...

In this paper we provide a general framework for model reduction methods applied to fluid flow in porous media. Using reduced basis and numerical homogenization techniques we show that the complexity of the numerical approximation of Stokes flow in heterogeneous media can be drastically reduced. The use of such a computational framework is illustrated at several model problems such as two and t...

A comprehensive experimental investigation has been conducted to determine the effective permeability of fluid saturated porous media consisting of small and large spherical particles. Small and large particles were mixed uniformly at a certain mixture ratio so as to form a vertical porous column. Water was drawn from a reservoir to flow through the vertical tube filled with particles of differ...

OBJECTIVE This study aimed to predict recurrence after coil embolization of unruptured cerebral aneurysms with computational fluid dynamics (CFD) using porous media modeling (porous media CFD). METHOD A total of 37 unruptured cerebral aneurysms treated with coiling were analyzed using follow-up angiograms, simulated CFD prior to coiling (control CFD), and porous media CFD. Coiled aneurysms we...

It is impractical to establish the detailed recoil range distribution and to measure the rough recoil surface of the porous media experimentally. Thus a computer based modelling approach is followed. The ion collision theory of nuclear physics provides the basics for calculating the recoil range distributions for radon within solid, water and air. The collision history is established by the mod...

Abstract We propose a quality-based optimization strategy to reduce the total number of degrees freedom associated with discrete problem defined over polygonal tessellation Virtual Element Method. The presented Quality Agglomeration algorithm relies only on geometrical properties mesh, agglomerating groups neighboring elements. test this approach in context fractured porous media, which generat...

Speckle correlation diagnostics was used to study non-stationary multiple scattering multi-phase systems with spatially separated components on the instance of porous media in the course of liquid-phase evaporation. We propose a phenomenological model in which the local interfaces between air-filled and liquid-filled spaces in the probed medium act as an ensemble of the elementary dynamic scatt...

In purely viscous Newtonian fluids, mechanical mixing of the fluid stream as it moves through an unstructured porous medium controls the long-time dispersion of molecular tracers. In applications ranging from environmental remediation to materials processing, however, particles are transported through porous media in polymer solutions and melts, for which the fluid properties depend on the shea...

Discretization of flow in fractured porous media commonly lead to large systems linear equations that require dedicated solvers. In this work, we develop an efficient solver and its practical implementation for mixed-dimensional scalar elliptic problems. We design effective preconditioner based on approximate block factorization algebraic multigrid techniques. Numerical results benchmarks with ...

The macroscopic behaviour of air and water in porous media is often approximated using Richards' equation for the fluid saturation and pressure. This equation is parametrized by the hydraulic conductivity and water release curve. In this paper, we use homogenization to derive a general model for saturation and pressure in porous media based on an underlying periodic porous structure. Under an a...