A hierarchical fracture model for the iterative multiscale finite volume method

H Hajibeygi, D Karvounis, P Jenny - Journal of Computational Physics, 2011 - Elsevier
An iterative multiscale finite volume (i-MSFV) method is devised for the simulation of
multiphase flow in fractured porous media in the context of a hierarchical fracture modeling …

Algebraic multiscale method for flow in heterogeneous porous media with embedded discrete fractures (F-AMS)

M Ţene, MS Al Kobaisi, H Hajibeygi - Journal of Computational Physics, 2016 - Elsevier
This paper introduces an Algebraic MultiScale method for simulation of flow in
heterogeneous porous media with embedded discrete Fractures (F-AMS). First, multiscale …

A multiscale restriction-smoothed basis method for high contrast porous media represented on unstructured grids

O Møyner, KA Lie - Journal of Computational Physics, 2016 - Elsevier
A wide variety of multiscale methods have been proposed in the literature to reduce runtime
and provide better scaling for the solution of Poisson-type equations modeling flow in …

Algebraic multiscale solver for flow in heterogeneous porous media

Y Wang, H Hajibeygi, HA Tchelepi - Journal of Computational Physics, 2014 - Elsevier
Abstract An Algebraic Multiscale Solver (AMS) for the pressure equations arising from
incompressible flow in heterogeneous porous media is described. In addition to the fine …

Multiscale modeling of compartmentalized reservoirs using a hybrid clustering-based non-local approach

S Esmaeilzadeh, A Salehi, G Hetz… - Journal of Petroleum …, 2020 - Elsevier
Representing the reservoir as a network of discrete compartments with neighbor and non-
neighbor connections is a fast, yet accurate method for analyzing oil and gas reservoirs …

A robust two-level overlapping preconditioner for Darcy flow in high-contrast media

C Ye, S Fu, ET Chung, J Huang - SIAM Journal on Scientific Computing, 2024 - SIAM
In this article, a two-level overlapping domain decomposition preconditioner is developed for
solving linear algebraic systems obtained from simulating Darcy flow in high-contrast media …

The multiscale restriction smoothed basis method for fractured porous media (F-MsRSB)

S Shah, O Møyner, M Tene, KA Lie… - Journal of Computational …, 2016 - Elsevier
A novel multiscale method for multiphase flow in heterogeneous fractured porous media is
devised. The discrete fine-scale system is described using an embedded fracture modeling …

Adaptive iterative multiscale finite volume method

H Hajibeygi, P Jenny - Journal of Computational Physics, 2011 - Elsevier
The multiscale finite volume (MSFV) method is a computationally efficient numerical method
for the solution of elliptic and parabolic problems with heterogeneous coefficients. It has …

Compositional multiscale finite-volume formulation

H Hajibeygi, HA Tchelepi - SPE Journal, 2014 - onepetro.org
The multiscale finite-volume (MSFV) method is extended to include compositional processes
in heterogeneous porous media, which require accurate modeling of the mass transfer and …

Multiscale finite-element method for linear elastic geomechanics

N Castelletto, H Hajibeygi, HA Tchelepi - Journal of Computational Physics, 2017 - Elsevier
The demand for accurate and efficient simulation of geomechanical effects is widely
increasing in the geoscience community. High resolution characterizations of the …