In this paper, we propose Constraint Energy Minimizing Generalized Multiscale Finite
Element Method (CEM-GMsFEM). The main goal of this paper is to design multiscale basis …

In this paper, we propose a rigorous and accurate non-local (in the oversampled region)
upscaling framework based on some recently developed multiscale methods [10]. Our …

The pore structure of shale gas reservoirs has strong heterogeneity, and the flow
mechanism in multiscale media is complex. The fracture network of hydraulic fracturing is …

Inherently coupled flow and geomechanics processes in fractured shale media have
implications for shale gas production. The system involves highly complex geo-textures …

In this work, heat and mass transfer in a hypothetical Enhanced Geothermal System with
complex fracture network is considered. Fracture networks have complex geometries, exist …

In this work, we present a novel nonlocal nonlinear coarse grid approximation using a
machine learning algorithm. We consider unsaturated and two-phase flow problems in …

We consider the coupled system of equations that describe flow in fractured porous media.
To describe such types of problems, multicontinuum and multiscale approaches are used …

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 …

Our goal of this paper is to develop a new upscaling method for multicontinua flow problems
in fractured porous media. We consider a system of equations that describes flow …

In this paper, we present a multiscale method for simulations of the multicontinua
unsaturated flow problems in heterogeneous fractured porous media. The mathematical …