Travel‐distance‐dependent macrodispersion for solute transport in two‐dimensional randomly heterogeneous porous media

2002 ◽  
Vol 25 (2) ◽  
pp. 217-222 ◽  
Author(s):  
Kuo‐Chin Hsu
Keyword(s):  
Porous Media ◽  
Solute Transport ◽  
Heterogeneous Porous Media ◽  
Travel Distance ◽  
Two Dimensional

scholarly journals Experimental Research on the Thresholds of Scale-Dependent Dispersivity of Solute Transport

Lithosphere ◽  
2021 ◽  
Vol 2021 (Special 3) ◽  
Author(s):  
Ruigang Zhang ◽  
Mingxi Chu ◽  
Yong Liu ◽  
Dun Wu ◽  
Wenyong Zhang
Keyword(s):  
Porous Media ◽  
Solute Transport ◽  
Threshold Value ◽  
Breakthrough Curves ◽  
Heterogeneous Porous Media ◽  
Travel Distance ◽  
Asymptotic Model ◽  
Linear Scale ◽  
Advection Dispersion ◽  
Early Arrival

Abstract The conventional advection-dispersion equation (ADE) has been widely used to describe the solute transport in porous media. However, it cannot interpret the phenomena of the early arrival and long tailing in breakthrough curves (BTCs). In this study, we aim to experimentally investigate the behaviors of the solute transport in both homogeneous and heterogeneous porous media. The linear-asymptotic model (LAF solution) with scale-dependent dispersivity was used to fit the BTCs, which was compared with the results of the ADE model and the conventional truncated power-law (TPL) model. Results indicate that (1) the LAF model with linear scale-dependent dispersivity could better capture the evolution of BTCs than the ADE model; (2) dispersivity initially increases linearly with the travel distance and is stable at some limited value over a large distance, and a threshold value of the travel distance is provided to reflect the constant dispersivity; and (3) compared with the TPL model, both the LAF and ADE models can capture the behavior of solute transport as a whole. For fitting the early arrival, the LAF model is less than the TPL; however, the LAF model is more concise in mathematics and its application will be studied in the future.

scholarly journals Space-time mesh adaptation for solute transport in randomly heterogeneous porous media

2018 ◽  
Vol 212 ◽  
pp. 28-40 ◽  
Author(s):  
Aronne Dell'Oca ◽  
Giovanni Michele Porta ◽  
Alberto Guadagnini ◽  
Monica Riva
Keyword(s):  
Porous Media ◽  
Solute Transport ◽  
Space Time ◽  
Heterogeneous Porous Media ◽  
Mesh Adaptation
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