[HTML][HTML] Solutions of a three-dimensional multi-term fractional anomalous solute transport model for contamination in groundwater

I Ahmad, I Ali, R Jan, SA Idris, M Mousa - Plos one, 2023 - journals.plos.org
The study presents a meshless computational approach for simulating the three-
dimensional multi-term time-fractional mobile-immobile diffusion equation in the Caputo …

A review of research on the dispersion process and CO2 enhanced natural gas recovery in depleted gas reservoir

S Liu, L Yuan, C Zhao, Y Zhang, Y Song - Journal of Petroleum Science …, 2022 - Elsevier
The dispersion coefficient is a key physical parameter for enhanced gas recovery (EGR) and
reflects the degree of mixing between the displacing-fluid CO 2 and natural gas. However …

On different numerical inverse Laplace methods for solute transport problems

Q Wang, H Zhan - Advances in Water Resources, 2015 - Elsevier
Numerical inversion is required when Laplace transform cannot be inverted analytically by
manipulating tabled formulas of special cases. However, the numerical inverse Laplace …

[HTML][HTML] Numerical simulation of simulate an anomalous solute transport model via local meshless method

I Ahmad, MN Khan, M Inc, H Ahmad… - Alexandria Engineering …, 2020 - Elsevier
In this article, an efficient local meshless technique is implemented for the numerical solution
of an anomalous mobile-immobile solute transport process. The process is mathematically …

[HTML][HTML] A review on process-based groundwater vulnerability assessment methods

C Geng, D Lu, J Qian, C Xu, D Li, J Ou, Z Ye - Processes, 2023 - mdpi.com
The unreasonable development and pollution of groundwater have caused damage to the
groundwater system and environmental problems. To prevent this, the concept of …

Rate equations, spatial moments, and concentration profiles for mobile-immobile models with power-law and mixed waiting time distributions

TJ Doerries, AV Chechkin, R Schumer, R Metzler - Physical Review E, 2022 - APS
We present a framework for systems in which diffusion-advection transport of a tracer
substance in a mobile zone is interrupted by trapping in an immobile zone. Our model …

Critical role of the immobile zone in non-Fickian two-phase transport: a new paradigm

NK Karadimitriou, V Joekar-Niasar… - … science & technology, 2016 - ACS Publications
Using a visualization setup, we characterized the solute transport in a micromodel filled with
two fluid phases using direct, real-time imaging. By processing the time series of images of …

Mass transfer between recirculation and main flow zones: Is physically based parameterization possible?

JQ Zhou, L Wang, YF Chen… - Water Resources …, 2019 - Wiley Online Library
Recirculation zones (RZs) are common in many geophysical flows. These zones form near
irregular solid boundaries and are separate from the main flow. Since mass can be trapped …

Numerical approach for modeling fractal mobile/immobile transport model in porous and fractured media

O Nikan, JAT Machado, A Golbabai… - … Communications in Heat …, 2020 - Elsevier
The fractal mobile/immobile model of the solute transport is based on the assumption that
the waiting times in the immobile region follow a power-law, and this leads to the application …

A temporally relaxed theory of physically or chemically non-equilibrium solute transport in heterogeneous porous media

YF Lin, J Huang, EJ Carr, TC Hsieh, H Zhan, HL Yu - Journal of hydrology, 2023 - Elsevier
Groundwater constitutes a critical component in providing fresh water for various human
endeavors. Nevertheless, its susceptibility to contamination by pollutants represents a …