132 citations · 230 across the 29 of their papers we have counts for
32 papers
An adaptive two-grid preconditioner and linearly implicit scheme for shale gas transport in fractured porous media
Maria Vasilyeva, Ben S. Southworth, Shubin Fu
We consider a nonlinear mixed-dimensional model for simulating gas transport in shale formation. The mathematical model consists of a coupled system of nonlinear equations, where f…
Non-Local Multi-Continuum method (NLMC) for Darcy-Forchheimer flow in fractured media
Denis Spiridonov, Maria Vasilyeva
This work presents the application of the non-local multicontinuum method (NLMC) for the Darcy-Forchheimer model in fractured media. The mathematical model describes a nonlinear fl…
Multiscale solver for multi-component reaction-diffusion systems in heterogeneous media
Maria Vasilyeva, Alexey Sadovski, D. Palaniappan
Coupled nonlinear system of reaction-diffusion equations describing multi-component (species) interactions with heterogeneous coefficients is considered. Finite volume method based…
Efficient decoupling schemes for multiscale multicontinuum problems in fractured porous media
Maria Vasilyeva
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. Bec…
Multiscale model reduction technique for fluid flows with heterogeneous porous inclusions
Maria Vasilyeva, S. M. Mallikarjunaiah, D. Palaniappan
Numerical treatment of the problem of two-dimensional viscous fluid flow in and around circular porous inclusions is considered. The mathematical model is described by Navier-Stoke…
A computational macroscale model for the time fractional poroelasticity problem in fractured and heterogeneous media
Aleksei Tyrylgin, Maria Vasilyeva, Anatoly Alikhanov +1
In this work, we introduce a time memory formalism in poroelasticity model that couples the pressure and displacement. We assume this multiphysics process occurs in multicontinuum…
Mixed Generalized Multiscale Finite Element Method for Flow Problem in Thin Domains
Denis Spiridonov, Maria Vasilyeva, Min Wang +1
In this paper, we construct a class of Mixed Generalized Multiscale Finite Element Methods for the approximation on a coarse grid for an elliptic problem in thin two-dimensional do…
Multiscale dimension reduction for flow and transport problems in thin domain with reactive boundaries
Maria Vasilyeva, Valentin Alekseev, Eric T. Chung +1
In this paper, we consider flow and transport problems in thin domains. The mathematical model considered in the paper is described by a system of equations for velocity, pressure,…
Preconditioning Markov Chain Monte Carlo Method for Geomechanical Subsidence using multiscale method and machine learning technique
Maria Vasilyeva, Aleksei Tyrylgin, Donald L. Brown +1
In this paper, we consider the numerical solution of the poroelasticity problem with stochastic properties. We present a Two-stage Markov Chain Monte Carlo method for geomechanical…
Nonlocal multicontinua with Representative Volume Elements. Bridging separable and non-separable scales
Eric T. Chung, Y. Efendiev, Wing T. Leung +1
Recently, several approaches for multiscale simulations for problems with high contrast and no scale separation are introduced. Among them is the nonlocal multicontinua (NLMC) meth…
Generalized Multiscale Finite Element Method for the poroelasticity problem in multicontinuum media
Aleksei Tyrylgin, Maria Vasilyeva, Denis Spiridonov +1
In this paper, we consider a poroelasticity problem in heterogeneous multicontinuum media that is widely used in simulations of the unconventional hydrocarbon reservoirs and geothe…
Generalized Multiscale Finite Element method for multicontinua unsaturated flow problems in fractured porous media
Denis Spiridonov, Maria Vasilyeva, Eric T. Chung
In this paper, we present a multiscale method for simulations of the multicontinua unsaturated flow problems in heterogeneous fractured porous media. The mathematical model is desc…
Generalized Multiscale Multicontinuum Model for Fractured Vuggy Carbonate Reservoirs
Min Wang, Siu Wun Cheung, Eric T. Chung +2
Simulating flow in a highly heterogeneous reservoir with multiscale characteristics could be considerably demanding. To tackle this problem, we propose a numerical scheme coupling…
A three-level multi-continua upscaling method for flow problems in fractured porous media
Maria Vasilyeva, Eric T. Chung, Yalchin Efendiev +1
Traditional two level upscaling techniques suffer from a high offline cost when the coarse grid size is much larger than the fine grid size. Thus, multilevel methods are desirable…
Constraint Energy Minimizing Generalized Multiscale Finite Element Method for dual continuum model
Siu Wun Cheung, Eric T. Chung, Yalchin Efendiev +2
The dual continuum model serves as a powerful tool in the modeling of subsurface applications. It allows a systematic coupling of various components of the solutions. The system is…
Nonlocal multicontinua upscaling for multicontinua flow problems in fractured porous media
Maria Vasilyeva, Eric T. Chung, Siu Wun Cheung +2
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 phenome…
Upscaling method for problems in perforated domains with non-homogeneous boundary conditions on perforations using Non-Local Multi-Continuum method (NLMC)
Maria Vasilyeva, Eric T. Chung, Wing Tat Leung +2
In this paper, we present an upscaling method for problems in perforated domains with non-homogeneous boundary conditions on perforations. Our methodology is based on the recently…
Nonlocal multicontinuum (NLMC) upscaling of mixed dimensional coupled flow problem for embedded and discrete fracture models
Maria Vasilyeva, Eric T. Chung, Wing Tat Leung +1
In this work, we present an upscaled model for mixed dimensional coupled flow problem in fractured porous media. We consider both embedded and discrete fracture models (EFM and DFM…
Constrained energy minimization based upscaling for coupled flow and mechanics
Maria Vasilyeva, Eric T. Chung, Yalchin Efendiev +1
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 up…
Non-local Multi-continua Upscaling for Flows in Heterogeneous Fractured Media
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung +2
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 proposed m…
Generalized Multiscale Inversion for Heterogeneous Problems
Eric T. Chung, Yalchin Efendiev, Bangti Jin +2
In this work, we propose a generalized multiscale inversion algorithm for heterogeneous problems that aims at solving an inverse problem on a computational coarse grid. Previous in…
Coupling of multiscale and multi-continuum approaches
Eric T. Chung, Yalchin Efendiev, Tat Leung +1
Simulating complex processes in fractured media requires some type of model reduction. Well-known approaches include multi-continuum techniques, which have been commonly used in ap…
A conservative local multiscale model reduction technique for Stokes flows in heterogeneous perforated domains
Eric T. Chung, Maria Vasilyeva, Yating Wang
In this paper, we present a new multiscale model reduction technique for the Stokes flows in heterogeneous perforated domains. The challenge in the numerical simulations of this pr…
Re-iterated multiscale model reduction using the GMsFEM
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung +1
Numerical homogenization and multiscale finite element methods construct effective properties on a coarse grid by solving local problems and extracting the average effective proper…