NDLI: Implementation of a Locally Conservative Numerical Subgrid Upscaling Scheme for Two-Phase Darcy Flow

Content Provider	Springer Nature Link
Author	Arbogast, Todd
Copyright Year	2002
Abstract	We present a locally mass conservative scheme for the approximation of two-phase flow in a porous medium that allows us to obtain detailed fine scale solutions on relatively coarse meshes. The permeability is assumed to be resolvable on a fine numerical grid, but limits on computational power require that computations be performed on a coarse grid. We define a two-scale mixed finite element space and resulting method, and describe in detail the solution algorithm. It involves a coarse scale operator coupled to a subgrid scale operator localized in space to each coarse grid element. An influence function (numerical Greens function) technique allows us to solve these subgrid scale problems independently of the coarse grid approximation. The coarse grid problem is modified to take into account the subgrid scale solution and solved as a large linear system of equations posed over a coarse grid. Finally, the coarse scale solution is corrected on the subgrid scale, providing a fine grid representation of the solution. Numerical examples are presented, which show that near-well behavior and even extremely heterogeneous permeability barriers and streaks are upscaled well by the technique.
Starting Page	453
Ending Page	481
Page Count	29
File Format	PDF
ISSN	14200597
Journal	Computational Geosciences
Volume Number	6
Issue Number	3-4
e-ISSN	15731499
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2002-01-01
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Hydrogeology Geotechnical Engineering Mathematical Modeling and Industrial Mathematics Soil Science & Conservation
Content Type	Text
Resource Type	Article
Subject	Computers in Earth Sciences Computational Theory and Mathematics Computer Science Applications Computational Mathematics

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Coupling Locally Conservative Methods for Single Phase Flow

Introduction Special Issue on Locally Conservative Numerical Methods for Flow in Porous Media

Numerical Homogenization of Two-Phase Flow in Porous Media

Near-well upscaling for three-phase flows

Probability Upscaling

Efficiency of a two-step upscaling method for permeability evaluation at Darcy and pore scales

A Comparison of Two-Phase Dynamic Upscaling Methods Based on Fluid Potentials

Mortar Upscaling for Multiphase Flow in Porous Media

Multiscale simulations of porous media flows in flow-based coordinate system

Implementation of a Locally Conservative Numerical Subgrid Upscaling Scheme for Two-Phase Darcy Flow

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