Stochastic deep collocation method based on neural architecture search and transfer learning for heterogeneous porous media

H Guo, X Zhuang, P Chen, N Alajlan… - Engineering with …, 2022 - Springer
We present a stochastic deep collocation method (DCM) based on neural architecture
search (NAS) and transfer learning for heterogeneous porous media. We first carry out a …

FESTUNG 1.0: Overview, usage, and example applications of the MATLAB/GNU Octave toolbox for discontinuous Galerkin methods

B Reuter, H Hajduk, A Rupp, F Frank, V Aizinger… - … & Mathematics with …, 2021 - Elsevier
The present work documents the current state of development for our MATLAB/GNU Octave-
based open source toolbox FESTUNG (Finite Element Simulation Toolbox for UNstructured …

[HTML][HTML] Time-dependent dispersion coefficients for the evolution of displacement fronts in heterogeneous porous media

S Tajima, M Dentz, J Liu, T Tokunaga - Advances in Water Resources, 2024 - Elsevier
We present an approach for quantifying displacement fronts in heterogeneous porous media
based on the concept of time-dependent apparent dispersion coefficients. The concept of …

Stochastic analysis of heterogeneous porous material with modified neural architecture search (NAS) based physics-informed neural networks using transfer learning

H Guo, X Zhuang, T Rabczuk - arXiv preprint arXiv:2010.12344, 2020 - arxiv.org
In this work, a modified neural architecture search method (NAS) based physics-informed
deep learning model is presented for stochastic analysis in heterogeneous porous material …

[PDF][PDF] Stochastic groundwater flow analysis in heterogeneous aquifer with modified neural architecture search (NAS) based physics-informed neural networks using …

HW Guo, XY Zhuang, D Liang… - arXiv preprint arXiv …, 2020 - researchgate.net
In this work, a modified neural architecture search method (NAS) based physics-informed
deep learning model is presented to solve the groundwater flow problems in porous media …

Equivalent and effective conductivities of heterogeneous aquifers for steady source flow, with illustration for hydraulic tomography

A Bellin, A Fiori, G Dagan - Advances in Water Resources, 2020 - Elsevier
The effective conductivity of heterogeneous aquifers K efu relates the mean flux to the mean
head gradient in mean uniform (natural gradient) flow. While K efu depends on the hydraulic …

Modeling transient flows in heterogeneous layered porous media using the space–time Trefftz method

CY Ku, LD Hong, CY Liu, JE Xiao, WP Huang - Applied Sciences, 2021 - mdpi.com
In this study, we developed a novel boundary-type meshless approach for dealing with two-
dimensional transient flows in heterogeneous layered porous media. The novelty of the …

[HTML][HTML] Global random walk solvers for fully coupled flow and transport in saturated/unsaturated porous media

N Suciu, D Illiano, A Prechtel, FA Radu - Advances in Water Resources, 2021 - Elsevier
In this article, we present new random walk methods to solve flow and transport problems in
saturated/unsaturated porous media, including coupled flow and transport processes in …

Modeling groundwater flow with random hydraulic conductivity using radial basis function partition of unity method

F Shile, M Sadik - Engineering Analysis with Boundary Elements, 2024 - Elsevier
Simulating groundwater flows in heterogeneous aquifers is one of the most widely studied
problems. The heterogeneity is modeled through random hydraulic conductivity fields log …

Global random walk solvers for reactive transport and biodegradation processes in heterogeneous porous media

N Suciu, FA Radu - Advances in Water Resources, 2022 - Elsevier
Flow and multicomponent reactive transport in saturated/unsaturated porous media are
modeled by ensembles of computational particles moving on regular lattices according to …