Non-Gaussian distributions to random walk in the context of memory kernels

MAF Dos Santos - Fractal and Fractional, 2018 - mdpi.com
The investigation of diffusive process in nature presents a complexity associated with
memory effects. Thereby, it is necessary new mathematical models to involve memory …

The bimolecular reactive transport in heterogeneous porous media: Sub-diffusion in interpretation of laboratory experiment

Y Xu, JP Carlier, HG Sun, Y Jia, J Qian, Y Liu - Chemosphere, 2024 - Elsevier
This present work consists of investigating the effects of particle size heterogeneity and flow
rates on transport-reaction kinetics of CuSO 4 and Na 2 EDTA 2− in porous media, via the …

Non-Fickian transport of ammonia nitrogen in vadose zone: experiments and modeling

Q Wang, J Bian, H Wan, T Gu - Arabian Journal of Geosciences, 2019 - Springer
To investigate the anomalous migration process of ammonia nitrogen in vadose zone,
laboratory and numerical experiments of chloride and ammonia nitrogen are used to the …

A continuous time random walk method to predict dissolution in porous media based on validation of experimental NMR data

R Oliveira, B Bijeljic, MJ Blunt, A Colbourne… - Advances in Water …, 2021 - Elsevier
We develop a reactive transport model for dissolution of porous materials using a
Continuous Time Random Walk (CTRW) formulation with first-order kinetics. Our model is …

[HTML][HTML] Effect of colloids on non-Fickian transport of strontium in sediments elucidated by continuous-time random walk analysis

DX Liu, R Zuo, AP Jivkov, JS Wang, LT Hu… - Environmental …, 2019 - Elsevier
Understanding the influence of colloids on radionuclide migration is of significance to
evaluate environmental risks for radioactive waste disposals. In order to formulate an …

Finite‐element method solution of non‐Fickian transport in porous media: The CTRW‐FEM package

R Ben‐Zvi, S Jiang, H Scher, B Berkowitz - Groundwater, 2019 - Wiley Online Library
An exposition is given of a finite‐element method (FEM) software package to calculate
solutions for the continuous time random walk (CTRW) integro‐differential equation for non …

Approximation of functions in Hölder class by third kind Chebyshev wavelet and its application in solution of Fredholm integro-differential equations

S Lal, Abhilasha - Rendiconti del Circolo Matematico di Palermo Series 2, 2024 - Springer
This paper presents numerical solutions to Fredholm integro-differential equations that arise
in physical, chemical, engineering, and biological models using approximations by third kind …

Bimolecular Reactive Transport Experiments and Simulations in Porous Media

Q Wang, J Bian, Y Li, C Zhang, F Ding - Water, 2020 - mdpi.com
For reactive transport process in porous media, limited mixing and non-Fickian behavior are
difficult to understand and predict. To explore the effects of anomalous diffusion and limited …

Bimolecular reactive transport in a two-dimensional velocity field in disordered media

R Ben-Zvi, H Scher, B Berkowitz - Journal of Physics A …, 2019 - iopscience.iop.org
The nonlocal-in-time, integro-partial differential equation (iPDE) describing the continuous
time random walk (CTRW) is augmented by a nonlinear chemical-species term accounting …

Aging continuous time random walks in fluids

G Li, H Zhang, B Zhang - Physics of Fluids, 2019 - pubs.aip.org
The subject of aging continuous time random walks (CTRWs) has attracted increasing
attention in recent years. To describe the aging behaviors of random particles whose jumps …