Modeling density-driven flow in porous media by physics-informed neural networks for CO2 sequestration

H Du, Z Zhao, H Cheng, J Yan, QZ He - Computers and Geotechnics, 2023 - Elsevier
Accurate prediction of density-driven convection of CO 2 overlaying brine in porous media is
crucial to the applications of geological carbon sequestration. In this paper, we introduce the …

Uncertainty quantification and global sensitivity analysis of double-diffusive natural convection in a porous enclosure

MM Rajabi, M Fahs, A Panjehfouladgaran… - International Journal of …, 2020 - Elsevier
In this paper, detailed uncertainty propagation analysis (UPA) and variance-based global
sensitivity analysis (GSA) are performed on the widely adopted double-diffuse convection …

Analyzing natural convection in porous enclosure with polynomial chaos expansions: Effect of thermal dispersion, anisotropic permeability and heterogeneity

N Fajraoui, M Fahs, A Younes, B Sudret - International Journal of Heat and …, 2017 - Elsevier
In this paper, global sensitivity analysis (GSA) and uncertainty quantification (UQ) have been
applied to the problem of natural convection (NC) in a porous square cavity. This problem is …

The H enry problem: New semianalytical solution for velocity‐dependent dispersion

M Fahs, B Ataie‐Ashtiani, A Younes… - Water Resources …, 2016 - Wiley Online Library
A new semianalytical solution is developed for the velocity‐dependent dispersion Henry
problem using the Fourier‐Galerkin method (FG). The integral arising from the velocity …

Scale dependent solute dispersion with linear isotherm in heterogeneous medium

MK Singh, P Das - Journal of Hydrology, 2015 - Elsevier
This study presents an analytical solution for one-dimensional scale dependent solute
dispersion with linear isotherm in semi-infinite heterogeneous medium. The governing …

A 3‐D semianalytical solution for density‐driven flow in porous media

Q Shao, M Fahs, H Hoteit, J Carrera… - Water Resources …, 2018 - Wiley Online Library
Existing analytical and semianalytical solutions for density‐driven flow (DDF) in porous
media are limited to 2‐D domains. In this work, we develop a semianalytical solution using …

A new numerical benchmark of a freshwater lens

L Stoeckl, M Walther, T Graf - Water Resources Research, 2016 - Wiley Online Library
A numerical benchmark for 2‐D variable‐density flow and solute transport in a freshwater
lens is presented. The benchmark is based on results of laboratory experiments conducted …

A generalized semi-analytical solution for the dispersive henry problem: effect of stratification and anisotropy on seawater intrusion

M Fahs, B Koohbor, B Belfort, B Ataie-Ashtiani… - Water, 2018 - mdpi.com
The Henry problem (HP) continues to play a useful role in theoretical and practical studies
related to seawater intrusion (SWI) into coastal aquifers. The popularity of this problem is …

Groundwater withdrawal in randomly heterogeneous coastal aquifers

M Siena, M Riva - Hydrology and Earth System Sciences, 2018 - hess.copernicus.org
We analyze the combined effects of aquifer heterogeneity and pumping operations on
seawater intrusion (SWI), a phenomenon which is threatening coastal aquifers worldwide …

Combined effect of rheology and confining boundaries on spreading of gravity currents in porous media

S Longo, V Ciriello, L Chiapponi… - Advances in water …, 2015 - Elsevier
One-dimensional flows of gravity currents within horizontal and inclined porous channels
are investigated combining theoretical and experimental analysis to evaluate the joint effects …