Analytical Solution for Solute Transport Influenced by Spatially Dependent Dispersion Along Spatiotemporally Dependent Porous Media Flow

2017 ◽  
pp. 613-628
Author(s):  
Abhishek Sanskrityayn ◽  
Vinod Kumar Bharati
Keyword(s):  
Porous Media ◽  
Analytical Solution ◽  
Solute Transport ◽  
Porous Media Flow

The semi‐analytical solution for non‐equilibrium solute transport in dual‐permeability porous media

2021 ◽  
Author(s):  
Sharma Abhimanyu ◽  
Swami Deepak ◽  
Joshi Nitin ◽  
Aman Chandel ◽  
Jiří Šimůnek
Keyword(s):  
Porous Media ◽  
Analytical Solution ◽  
Solute Transport ◽  
Non Equilibrium

Two-dimensional solute transport for periodic flow in isotropic porous media: an analytical solution

2012 ◽  
Vol 26 (22) ◽  
pp. 3425-3433 ◽  
Author(s):  
R. R. Yadav ◽  
Dilip Kumar Jaiswal ◽  
Gulrana
Keyword(s):  
Porous Media ◽  
Analytical Solution ◽  
Solute Transport ◽  
Periodic Flow ◽  
Two Dimensional

Analytical Solution for Solute Transport in Semi-Infinite Heterogeneous Porous Media

2011 ◽  
Vol 312-315 ◽  
pp. 495-499
Author(s):  
B.Q. Deng ◽  
Y.F. Qiu ◽  
C.N. Kim
Keyword(s):  
Porous Media ◽  
Analytical Solution ◽  
Solute Transport ◽  
Integral Transform ◽  
Integral Transforms ◽  
Heterogeneous Porous Media ◽  
One Dimensional ◽  
Advection Dispersion ◽  
Integral Transform Technique ◽  
Linear Decay

Solute transport in porous media concerns advection, dispersion, sorption, and reaction. Since porous media is commonly heterogeneous, the properties of porous media are spatially and temporally variable. In this paper, one dimensional unsteady solute transport in semi-infinite heterogeneous porous media is investigated. Both linear and nonlinear decay is considered. Analytical solution is obtained for linear decay with spatially and temporally diffusion coefficient and velocity by using generalized integral transform technique. The inverse integral transforms are developed for the problems in semi-infinite space based on some weighted functions. Some examples are given to show the application of the method and analytical solutions.

New Finite Volume–Multiscale Finite-Element Model for Solving Solute Transport Problems in Porous Media

2021 ◽  
Vol 26 (3) ◽  
pp. 04021002
Author(s):  
Yifan Xie ◽  
Zhenze Xie ◽  
Jichun Wu ◽  
Yong Chang ◽  
Chunhong Xie ◽  
...  
Keyword(s):  
Finite Element ◽  
Porous Media ◽  
Finite Element Model ◽  
Solute Transport ◽  
Finite Volume ◽  
Element Model ◽  
Multiscale Finite Element ◽  
Transport Problems
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