Numerical solution of Richards' equation: A review of advances and challenges

MW Farthing, FL Ogden - Soil Science Society of America …, 2017 - Wiley Online Library
Core Ideas The numerical solution of Richards' equation remains challenging. Space/time
discretization affects both computational effort and accuracy. Adaption of space and time …

An efficient numerical model for incompressible two-phase flow in fractured media

H Hoteit, A Firoozabadi - Advances in water resources, 2008 - Elsevier
Various numerical methods have been used in the literature to simulate single and
multiphase flow in fractured media. A promising approach is the use of the discrete-fracture …

Efficient field-scale simulation of black oil in a naturally fractured reservoir through discrete fracture networks and homogenized media

L Li, SH Lee - SPE Reservoir evaluation & engineering, 2008 - onepetro.org
This paper describes a hybrid finite volume method, designed to simulate multiphase flow in
a field-scale naturally fractured reservoir. Lee et al.(WRR 37: 443-455, 2001) developed a …

Discrete fracture model for coupled flow and geomechanics

TT Garipov, M Karimi-Fard, HA Tchelepi - Computational Geosciences, 2016 - Springer
We present a fully implicit formulation of coupled flow and geomechanics for fractured three-
dimensional subsurface formations. The Reservoir Characterization Model (RCM) consists …

An efficient multi-point flux approximation method for discrete fracture–matrix simulations

TH Sandve, I Berre, JM Nordbotten - Journal of Computational Physics, 2012 - Elsevier
We consider a control volume discretization with a multi-point flux approximation to model
Discrete Fracture–Matrix systems for anisotropic and fractured porous media in two and …

Hybrid coupled discrete-fracture/matrix and multicontinuum models for unconventional-reservoir simulation

J Jiang, RM Younis - SPE Journal, 2016 - onepetro.org
Unconventional reservoirs are the focus of considerable attention as a primary energy
source. Numerical simulation is a core kernel of reservoir-engineering work flows for …

Numerical modeling of two-phase flow in heterogeneous permeable media with different capillarity pressures

H Hoteit, A Firoozabadi - Advances in water resources, 2008 - Elsevier
Contrast in capillary pressure of heterogeneous permeable media can have a significant
effect on the flow path in two-phase immiscible flow. Very little work has appeared on the …

Numerical modeling of diffusion in fractured media for gas-injection and-recycling schemes

H Hoteit, A Firoozabadi - Spe Journal, 2009 - onepetro.org
Diffusion in fractured reservoirs, unlike in unfractured reservoirs, can affect significantly the
efficiency of gas injection in oil reservoirs and recycling in gas/condensate reservoirs. The …

A general gridding, discretization, and coarsening methodology for modeling flow in porous formations with discrete geological features

M Karimi-Fard, LJ Durlofsky - Advances in water resources, 2016 - Elsevier
A comprehensive framework for modeling flow in porous media containing thin, discrete
features, which could be high-permeability fractures or low-permeability deformation bands …

Generation of coarse‐scale continuum flow models from detailed fracture characterizations

M Karimi‐Fard, B Gong… - Water resources research, 2006 - Wiley Online Library
A procedure for developing coarse‐scale continuum models from detailed fracture
descriptions is developed and applied. The coarse models are in the form of a generalized …