Fractional Advective-Dispersive Equation to Simulate Solute Transport in Soils

2013 ◽  
Author(s):  
Y. A. Pachepsky and W. J. Rawls
Keyword(s):  
Solute Transport ◽  
Dispersive Equation

Solute Transport Simulated With the Fractional Advective-Dispersive Equation

2005 ◽  
Author(s):  
F. San Jose Martinez ◽  
Y. A. Pachepsky ◽  
W. J. Rawls
Keyword(s):  
Solute Transport ◽  
Numerical Method ◽  
Field Experiments ◽  
Dispersion Coefficient ◽  
Scale Effects ◽  
Chloride Transport ◽  
Sandy Loam ◽  
Dispersive Equation ◽  
Flux Boundary Condition ◽  
Soils And Sediments

Solute transport in soils and sediments is commonly simulated with the parabolic advective-dispersive equation, or ADE. Although the solute dispersivity in this equation is regarded as a constant, it has been found to increase with the distance from the solute source. This can be explained assuming the movement of solute particles belongs to the family of Le´vy motions. A one-dimensional solute transport equation was derived for Le´vy motions using fractional derivatives to describe the dispersion. This fractional advective-dispersive equation, or FADE, has two parameters — the fractional dispersion coefficient and the order of fractional differentiation α, 0<α≤2. Scale effects are reflected by the value of α, and the fractional dispersion coefficient is independent of scale. The ADE is a special case of the FADE. Our objectives were (a) to test applicability of the FADE to field data on solute transport in soils, and (b) to develop a numerical method to solve FADE that would assure the solute mass conservation. Analytical solutions of the FADE and the ADE were successfully fitted to the data from field experiments on chloride transport in sandy loam and bromide transport in clay loam soils. A numerical method to solve the boundary problem for FADE was proposed and tested, that uses the mass-conserving flux boundary condition. The FADE is a promising model to address the scale-dependence in solute dispersion in soils and sediments.

Control of Rate of Solute Transport in Newly Developed Portable Agar Gel Blood Purification System

1998 ◽  
Vol 2 (1) ◽  
pp. 67-70
Author(s):  
Akihiro C. Yamashita ◽  
Ryoichi Sakiyama ◽  
Hiroyuki Hamada ◽  
Kakuji J. Tojo
Keyword(s):  
Solute Transport ◽  
Blood Purification ◽  
Agar Gel ◽  
Purification System

Analysis of two-dimensional solute transport through heterogeneous porous medium

2018 ◽  
Vol 2 (3) ◽  
Author(s):  
Atul Kumar ◽  
◽  
Lav Kush Kumar ◽  
Shireen Shireen ◽  
◽  
...  
Keyword(s):  
Porous Medium ◽  
Solute Transport ◽  
Two Dimensional ◽  
Heterogeneous Porous Medium
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