We consider upscaling of non-Darcy flow in heterogeneous porous media. Our approach
extends the pressure-based numerical homogenization procedure for linear Darcy flow, due …

A groundwater flow model based on a specified hydraulic conductivity field in the modeling
domain has a unique solution only if either the head or the normal flux component is …

A numerical formulation for fully resolved simulations of freely moving rigid particles in
turbulent flows is presented. This work builds upon the fictitious-domain based approach for …

Homogenization has proved its effectiveness as a method of upscaling for linear problems,
as they occur in single-phase porous media flow for arbitrary heterogeneous rocks. Here we …

This paper provides a proof of the symmetry of the equivalent transmissivity tensor computed
with a method based on the solution of the balance equation at the fine scale with integrated …

This paper presents a 'physics-oriented'approach to approximate the continuum equations
governing porous media flow by discrete analogs. To that end, the continuity equation and …

Multiscale homogenization was applied in modeling the Darcy filtration of viscous
incompressible fluid in cylindrical geometry. In the 2D case, components of permeability …

To be able to use a limited number of relatively large grid cells in numerical oil reservoir
simulators and groundwater models, upscaling of the absolute permeability is frequently …

An overview is presented of scale problems in groundwater flow, with emphasis on
upscaling of hydraulic conductivity, being a brief summary of the conventional upscaling …

Homogeneous effective permeabilities in the near-well region are generally obtained using
analytical solutions for transient flow. In contrast, this paper focuses on heterogeneous …