Learning viscoelasticity models from indirect data using deep neural networks

K Xu, AM Tartakovsky, J Burghardt, E Darve - Computer Methods in …, 2021 - Elsevier
We propose a novel approach to model viscoelasticity materials, where rate-dependent and
non-linear constitutive relationships are approximated with deep neural networks. We …

Multiscale model reduction for shale gas transport in poroelastic fractured media

IY Akkutlu, Y Efendiev, M Vasilyeva, Y Wang - Journal of Computational …, 2018 - Elsevier
Inherently coupled flow and geomechanics processes in fractured shale media have
implications for shale gas production. The system involves highly complex geo-textures …

[图书][B] Multiscale Model Reduction

E Chung, Y Efendiev, TY Hou - 2023 - Springer
The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modeling and the …

Constrained energy minimization based upscaling for coupled flow and mechanics

M Vasilyeva, ET Chung, Y Efendiev, J Kim - Journal of Computational …, 2019 - Elsevier
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 …

Efficient decoupling schemes for multiscale multicontinuum problems in fractured porous media

M Vasilyeva - Journal of Computational Physics, 2023 - Elsevier
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 …

Machine learning for accelerating macroscopic parameters prediction for poroelasticity problem in stochastic media

M Vasilyeva, A Tyrylgin - Computers & Mathematics with Applications, 2021 - Elsevier
In this paper, we consider a coarse grid approximation (numerical homogenization and
multiscale finite element method) for the poroelasticity problem with stochastic properties …

Virtual element methods for the three-field formulation of time-dependent linear poroelasticity

R Bürger, S Kumar, D Mora, R Ruiz-Baier… - Advances in …, 2021 - Springer
A virtual element discretisation for the numerical approximation of the three-field formulation
of linear poroelasticity introduced in R. Oyarzúa and R. Ruiz-Baier,(SIAM J. Numer. Anal. 54 …

[HTML][HTML] A generalized multiscale finite element method for poroelasticity problems I: Linear problems

DL Brown, M Vasilyeva - Journal of Computational and Applied …, 2016 - Elsevier
In this paper, we consider the numerical solution of poroelasticity problems that are of Biot
type and develop a general algorithm for solving coupled systems. We discuss the …

[HTML][HTML] Monolithic and splitting solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport

MK Brun, E Ahmed, I Berre, JM Nordbotten… - … & Mathematics with …, 2020 - Elsevier
This paper concerns monolithic and splitting-based iterative procedures for the coupled
nonlinear thermo-poroelasticity model problem. The thermo-poroelastic model problem we …

Design optimization for a simulation of rotating anisotropic viscoelastic porous structures using time-domain OQBEM

MA Fahmy - Mathematics and Computers in Simulation, 2019 - Elsevier
The main purpose of this paper is to propose a novel efficient design optimization technique
based on the operational quadrature boundary element method (OQBEM) for a simulation …