111 citations · 165 across the 8 of their papers we have counts for
8 papers
Multicontinuum Generalized Multiscale Finite Element Method (MC-GMsFEM). Theory and applications to upscaling of two-phase flow
Mohammed Al Kobaisi, Dmitry Ammosov, Yalchin Efendiev +1
We develop a multicontinuum Generalized Multiscale Finite Element Method (MC-GMsFEM) for constructing coarse-scale models in heterogeneous media that simultaneously provide accurat…
U-DeepONet: U-Net Enhanced Deep Operator Network for Geologic Carbon Sequestration
Waleed Diab, Mohammed Al-Kobaisi
FNO and DeepONet are by far the most popular neural operator learning algorithms. FNO seems to enjoy an edge in popularity due to its ease of use, especially with high dimensional…
Algorithmic Monotone Multiscale Finite Volume Methods for Porous Media Flow
Omar Chaabi, Mohammed Al Kobaisi
Multiscale finite volume methods are known to produce reduced systems with multipoint stencils which, in turn, could give non-monotone and out-of-bound solutions. We propose a nove…
Learning Generic Solutions for Multiphase Transport in Porous Media via the Flux Functions Operator
Waleed Diab, Omar Chaabi, Shayma Alkobaisi +2
Traditional numerical schemes for simulating fluid flow and transport in porous media can be computationally expensive. Advances in machine learning for scientific computing have t…
PINNs for the Solution of the Hyperbolic Buckley-Leverett Problem with a Non-convex Flux Function
Waleed Diab, Mohammed Al Kobaisi
The displacement of two immiscible fluids is a common problem in fluid flow in porous media. Such a problem can be posed as a partial differential equation (PDE) in what is commonl…
Interwell Simulation Model for the Advection Dispersion Equation (ISADE)
Mohammad S. Jamal, Abeeb A. Awotunde, Mohammed S. Al-Kobaisi +3
Contaminant transport in porous media is often modeled by solving the Advection Dispersion Equation (ADE) which describes the way the contaminant moves within the bulk fluid as wel…
Projection-based embedded discrete fracture model (pEDFM) for flow and heat transfer in real-field geological formations with corner-point grid geometries
Mousa HosseiniMehr, Janio Piguave Tomala, Cornelis Vuik +2
In this work, the projection-based embedded discrete fracture model (pEDFM) for corner-point grid (CPG) geometry is developed for simulation of flow and heat transfer in fractured…
Algebraic multiscale method for flow in heterogeneous porous media with embedded discrete fractures (F-AMS)
Matei Tene, Mohammed Saad Al Kobaisi, Hadi Hajibeygi
This paper introduces an Algebraic MultiScale method for simulation of flow in heterogeneous porous media with embedded discrete Fractures (F-AMS). First, multiscale coarse grids a…