Mortar coupling and upscaling of pore-scale models |
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Authors: | Matthew T Balhoff Sunil G Thomas Mary F Wheeler |
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Institution: | (1) Texas Institute for Computational and Applied Mathematics, University of Texas, Austin, TX 78712, USA |
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Abstract: | Pore-scale models are becoming increasingly useful as predictive tools for modeling flow and transport in porous media. These
models can accurately represent the 3D pore-structure of real media. Currently first-principles modeling methods are being
employed for obtaining qualitative and quantitative behavior. Generally, artificial, simple boundary conditions are imposed
on a model that is used as a stand-alone tool for extracting macroscopic parameters. However, realistic boundary conditions,
reflecting flow and transport in surrounding media, may be necessary for behavior that occurs over larger length scales or
including pore-scale models in a multiscale setting. Here, pore-scale network models are coupled to adjacent media (additional
pore-scale or continuum-scale models) using mortars. Mortars are 2D finite-element spaces employed to couple independent subdomains
by enforcing continuity of pressure and flux at shared boundary interfaces. While mortars have been used in the past to couple
subdomains of different models, physics, and meshes, they are extended here for the first time to pore-scale models. The approach
is demonstrated by modeling single-phase flow in coupled pore-scale models, but the methodology can be utilized to model dynamic
processes and perform multiscale modeling in 3D continuum simulators for flow and transport. |
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Keywords: | Pore-scale modeling Network modeling Multiscale modeling Mortar coupling Upscaling |
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