Paper Info
Title
Constrained energy minimization based upscaling for coupled flow and mechanics.
Abstract
In this paper, our aim is to present (1) an embedded fracture model (EFM) for coupled flow and mechanics problem based on the dual continuum approach on the fine grid and (2) an upscaled model for the resulting fine grid equations. The mathematical model is described by the coupled system of equation for displacement, fracture and matrix pressures. For a fine grid approximation, we use the finite volume method for flow problem and finite element method for mechanics. Due to the complexity of fractures, solutions have a variety of scales, and fine grid approximation results in a large discrete system. Our second focus in the construction of the upscaled coarse grid poroelasticity model for fractured media. Our upscaled approach is based on the nonlocal multicontinuum (NLMC) upscaling for coupled flow and mechanics problem, which involves computations of local basis functions via an energy minimization principle. This concept allows a systematic upscaling for processes in the fractured porous media, and provides an effective coarse scale model whose degrees of freedoms have physical meaning. We obtain a fast and accurate solver for the poroelasticity problem on a coarse grid and, at the same time, derive a novel upscaled model. We present numerical results for the two dimensional model problem.
Year
DOI
Venue
2019
10.1016/j.jcp.2018.09.054
Journal of Computational Physics
Keywords
Field
DocType
Poroelasticity,Embedded fracture model,Multiscale methods,Non-local multicontinuum method,Constrained energy minimization,Upscaling
Mathematical analysis,Finite element method,Mechanics,Basis function,Poromechanics,Solver,Finite volume method,Discrete system,Grid,Mathematics,Energy minimization
Journal
Volume
ISSN
Citations 
376
0021-9991
3
PageRank 
References 
Authors
0.43
12
4
Name
Order
Citations
PageRank
Maria Vasilyeva1152.39
Eric T. Chung238846.61
Yalchin Efendiev358167.04
Jihoon Kim450.88