Numerical homogenization beyond scale separation
Numerical homogenization is a methodology for the computational solution of multiscale
partial differential equations. It aims at reducing complex large-scale problems to simplified …
partial differential equations. It aims at reducing complex large-scale problems to simplified …
Simulation of the inelastic deformation of porous reservoirs under cyclic loading relevant for underground hydrogen storage
Subsurface geological formations can be utilized to safely store large-scale (TWh)
renewable energy in the form of green gases such as hydrogen. Successful implementation …
renewable energy in the form of green gases such as hydrogen. Successful implementation …
Deep multiscale model learning
The objective of this paper is to design novel multi-layer neural networks for multiscale
simulations of flows taking into account the observed fine data and physical modeling …
simulations of flows taking into account the observed fine data and physical modeling …
Efficient deep learning techniques for multiphase flow simulation in heterogeneous porousc media
We present efficient deep learning techniques for approximating flow and transport
equations for both single phase and two-phase flow problems. The proposed methods take …
equations for both single phase and two-phase flow problems. The proposed methods take …
Generalized multiscale finite element methods for problems in perforated heterogeneous domains
Complex processes in perforated domains occur in many real-world applications. These
problems are typically characterized by physical processes in domains with multiple scales …
problems are typically characterized by physical processes in domains with multiple scales …
Multiscale model reduction for shale gas transport in poroelastic fractured media
Inherently coupled flow and geomechanics processes in fractured shale media have
implications for shale gas production. The system involves highly complex geo-textures …
implications for shale gas production. The system involves highly complex geo-textures …
Generalized multiscale finite-element method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media
It is important to develop fast yet accurate numerical methods for seismic wave propagation
to characterize complex geological structures and oil and gas reservoirs. However, the …
to characterize complex geological structures and oil and gas reservoirs. However, the …
[HTML][HTML] Multiscale modeling of heat and mass transfer in fractured media for enhanced geothermal systems applications
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 …
complex fracture network is considered. Fracture networks have complex geometries, exist …
Generalized multiscale finite element treatment of a heterogeneous nonlinear strain-limiting elastic model
M Vasilyeva, SM Mallikarjunaiah - Multiscale Modeling & Simulation, 2024 - SIAM
In this work, we consider a nonlinear strain-limiting elastic model in heterogeneous
domains. We investigate heterogeneous material with soft and stiff inclusions and …
domains. We investigate heterogeneous material with soft and stiff inclusions and …
[HTML][HTML] Multiscale simulation of inelastic creep deformation for geological rocks
KR Kumar, H Hajibeygi - Journal of Computational Physics, 2021 - Elsevier
Subsurface geological formations provide giant capacities for large-scale (TWh) storage of
renewable energy, once this energy (eg from solar and wind power plants) is converted to …
renewable energy, once this energy (eg from solar and wind power plants) is converted to …