abstract bottom intake is one of the most appropriate systems for diverting discharge in steep rivers. bottom intake with porous media is a new system of diverting discharge which can be replaced by bottom rack intakes. to investigate the hydraulic flow characteristics on diverted discharge of this intake, an experimental model was designed in which the inflow, diverted discharge and remained f...

in petroleum production, produced water re-injection (pwri) has earned much interest among disposal methods of the produced water. however, presence of the contaminants in the produced waters usually results in formation damage in well bores and their surrounding fracture systems. in the present study, modeling of external cake formation on a fracture in unsteady-state conditions is discussed. ...

We analyse and further develop a hierarchical multiscale method for the numerical simulation of two-phase flow in highly heterogeneous porous media. The method is based upon a mixed finite-element formulation, where fine-scale features are incorporated into a set of coarse-grid basis functions for the flow velocities. By using the multiscale basis functions, we can retain the efficiency of an u...

In this paper, we study domain decomposition preconditioners for multiscale flows in high contrast media. Our problems are motivated by porous media applications where low conductivity regions play an important role in determining flow patterns. We consider flow equations governed by elliptic equations in heterogeneous media with large contrast between high and low conductivity regions. This co...

For the simulation of transport processes in porous media effective parameters for the physical processes on the target scale are equired. Numerical upscaling, as well as multiscale approaches can help where experiments are not possible, or hard to conduct. In 2009, Bastian and Engwer proposed an Unfitted Discontinuous Galerkin (UDG) method for solving PDEs in complex domains, .g. on the pore s...

In this paper we study some nonoverlapping domain decomposition methods for solving a class of elliptic problems arising from composite materials and flows in porous media which contain many spatial scales. Our preconditioner differs from traditional domain decomposition preconditioners by using a coarse solver which is adaptive to small scale heterogeneous features. While the convergence rate ...

We present a two-scale finite element method for solving Brinkman’s equations with piece-wise constant coefficients. This system of equations model fluid flows in highly porous, heterogeneous media with complex topology of the heterogeneities. We make use of the recently proposed discontinuous Galerkin FEM for Stokes equations by Wang and Ye in [12] and the concept of subgrid approximation deve...

the permeability and tortuosity of pore-scale two and three-dimensional random porous media were calculated using the lattice boltzmann method (lbm). effects of geometrical parameters of medium on permeability and tortuosity were investigated as well. two major models of random porous media were reconstructed by computerized tomography method: randomly distributed rectangular obstacles in a uni...

We develop an Eulerian-Lagrangian iterative solution technique for accurate and efficient numerical simulation of single-phase compositional flow through three-dimensional compressible porous media in the presence of multiple injection and production wells. In the numerical simulator, an Eulerian-Lagrangian method is used to solve the convectiondiffusion transport equations and a mixed finite e...