Numerical homogenization is a methodology for the computational solution of multiscale
partial differential equations. It aims at reducing complex large-scale problems to simplified …

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 …

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 …

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 …

Complex processes in perforated domains occur in many real-world applications. These
problems are typically characterized by physical processes in domains with multiple scales …

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

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 …

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 consider a nonlinear strain-limiting elastic model in heterogeneous
domains. We investigate heterogeneous material with soft and stiff inclusions and …

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 …