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Finite‐Element Method Solution of Non‐Fickian Transport in Porous Media: The CTRW‐FEM Package
Author(s) -
BenZvi Rami,
Jiang Shidong,
Scher Harvey,
Berkowitz Brian
Publication year - 2018
Publication title -
groundwater
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.84
H-Index - 94
eISSN - 1745-6584
pISSN - 0017-467X
DOI - 10.1111/gwat.12813
Subject(s) - finite element method , solver , software , continuous time random walk , computer science , porous medium , computational science , mathematics , physics , random walk , engineering , porosity , thermodynamics , statistics , geotechnical engineering , programming language
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‐Fickian (and Fickian) conservative or reactive transport in disordered media. The solutions encompass one‐dimensional/two‐dimensional (1D/2D) breakthrough curves and spatial concentration profiles for general geometry and grid. The velocity field, used as input to the 2D solutions, may also be calculated by applying a compatible Darcy flow 2D solver. The software enables both “forward” modeling (1D/2D) and “inverse” (best‐fit) modeling (1D) of experimental data. Various inlet and outlet boundary conditions are implemented. The CTRW‐FEM Package is freely downloadable and contains a User's Guide, source and executable files, and accompanying files with easy‐to‐use format, including descriptions of input/output files and pre‐ and post‐processing. Several examples are provided to clearly demonstrate how to work with the CTRW‐FEM Package in many typical analyses. The CTRW‐FEM Package also allows users to adapt the software to specific needs, such as, for example, first‐ and second‐order chemical reactions.