An analysis platform for multiscale hydrogeologic modeling with emphasis on hybrid multiscale methods

TD Scheibe, EM Murphy, X Chen, AK Rice… - …, 2015 - Wiley Online Library
One of the most significant challenges faced by hydrogeologic modelers is the disparity
between the spatial and temporal scales at which fundamental flow, transport, and reaction …

A comparison of multiscale methods for elliptic problems in porous media flow

V Kippe, JE Aarnes, KA Lie - Computational Geosciences, 2008 - Springer
We review and perform comparison studies for three recent multiscale methods for solving
elliptic problems in porous media flow; the multiscale mixed finite-element method, the …

Numerical modeling of two-phase fluid flow in deformable fractured porous media using the extended finite element method and an equivalent continuum model

AR Khoei, N Hosseini, T Mohammadnejad - Advances in water resources, 2016 - Elsevier
In the present paper, a numerical model is developed based on a combination of the
extended finite element method and an equivalent continuum model to simulate the two …

The role of scaling laws in upscaling

BD Wood - Advances in Water Resources, 2009 - Elsevier
In this work the process of coarse-graining in complex subsurface hydrologic systems is
discussed, with a particular effort made to examine the difference between the mathematical …

[图书][B] Multiscale Model Reduction

E Chung, Y Efendiev, TY Hou - 2023 - Springer
The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modeling and the …

Volume averaging: Local and nonlocal closures using a Green's function approach

BD Wood, FJ Valdés-Parada - Advances in water resources, 2013 - Elsevier
Modeling transport phenomena in discretely hierarchical systems can be carried out using
any number of upscaling techniques. In this paper, we revisit the method of volume …

[PDF][PDF] Efficient upscaling of hydraulic conductivity in heterogeneous alluvial aquifers

JH Fleckenstein, GE Fogg - Hydrogeology Journal, 2008 - researchgate.net
An efficient method to upscale hydraulic conductivity (K) from detailed three-dimensional
geostatistical models of hydrofacies heterogeneity to a coarser model grid is presented …

Upscaling for compositional reservoir simulation

H Li, LJ Durlofsky - SPE journal, 2016 - onepetro.org
Compositional flow simulation, which is required for modeling enhanced-oil-recovery (EOR)
operations, can be very expensive computationally, particularly when the geological model …

A multiscale adaptive local-global method for modeling flow in stratigraphically complex reservoirs

FO Alpak, M Pal, KA Lie - SPE Journal, 2012 - onepetro.org
A robust and efficient simulation technique is developed on the basis of the extension of the
mimetic finite-difference method (MFDM) to multiscale hierarchical-hexahedral (corner …

Nonlinear two-point flux approximation for modeling full-tensor effects in subsurface flow simulations

Y Chen, BT Mallison, LJ Durlofsky - Computational Geosciences, 2008 - Springer
Subsurface flow models can exhibit strong full-tensor anisotropy due to either permeability
or grid nonorthogonality effects. Upscaling procedures, for example, generate full-tensor …