Mortar coupling and upscaling of pore-scale models
Mortar coupling and upscaling of pore-scale models
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DOI：
10.1007/s10596-007-9058-6
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发表时间：
2008-03
影响因子：
2.5
通讯作者：
M. Balhoff;Sunil G. Thomas;M. Wheeler
中科院分区：
文献类型：
--
作者：
M. Balhoff;Sunil G. Thomas;M. Wheeler
孔隙尺度模型作为模拟多孔介质中流动和输运的预测工具正变得越来越有用。这些模型能够准确地反映真实的介质的三维孔隙结构。目前，第一性原理建模方法被用于获得定性和定量的行为。一般来说，人工的，简单的边界条件被施加在一个模型上，作为一个独立的工具，用于提取宏观参数。然而，现实的边界条件，反映周围介质中的流动和运输，可能是必要的行为，发生在更大的长度尺度或包括孔隙尺度模型在多尺度设置。在这里，孔隙规模的网络模型耦合到相邻的介质（额外的孔隙规模或连续规模的模型）使用迫击炮。砂浆是二维有限元空间，用于通过在共享边界界面处强制压力和通量的连续性来耦合独立子域。虽然迫击炮在过去已经被用来耦合不同的模型，物理和网格的子域，他们是第一次在这里扩展到孔隙规模的模型。该方法通过在耦合孔隙尺度模型中对单相流进行建模来证明，但该方法可用于对动态过程进行建模，并在3D连续模拟器中进行多尺度建模，用于流动和运输。
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.