scholarly journals Pore-scale simulation of dispersion and reaction along a transverse mixing zone in two-dimensional porous media

2007 ◽  
Vol 43 (10) ◽  
Author(s):  
Ram C. Acharya ◽  
Albert J. Valocchi ◽  
Charles J. Werth ◽  
Thomas W. Willingham
2021 ◽  
Vol 143 (6) ◽  
Author(s):  
Yuto Takeuchi ◽  
Junichiro Takeuchi ◽  
Tomoki Izumi ◽  
Masayuki Fujihara

Abstract This study simulates pore-scale two-dimensional flows through porous media composed of circular grains with varied pore-scale heterogeneity to analyze non-Darcy flow effects on different types of porous media using the lattice Boltzmann method. The magnitude of non-Darcy coefficients and the critical Reynolds number of non-Darcy flow were computed from the simulation results using the Forchheimer equation. Although the simulated porous materials have similar porosity and representative grain diameters, larger non-Darcy coefficients and an earlier onset of non-Darcy flow were observed for more heterogeneous porous media. The simulation results were compared with existing correlations to predict non-Darcy coefficients, and the large sensitivity of non-Darcy coefficients to pore-scale heterogeneity was identified. The pore-scale heterogeneity and resulting flow fields were evaluated using the participation number. From the computed participation numbers and visualized flow fields, a significant channeling effect for heterogeneous media in the Darcy flow regime was confirmed compared with that for homogeneous media. However, when non-Darcy flow occurs, this channeling effect was alleviated. This study characterizes non-Darcy effect with alleviation of the channeling effect quantified with an increase in participation number. Our findings indicate a strong sensitivity of magnitude and onset of non-Darcy effect to pore-scale heterogeneity and imply the possibility of evaluating non-Darcy effect through numerical analysis of the channeling effect.


2003 ◽  
Vol 37 (24) ◽  
pp. 5617-5624 ◽  
Author(s):  
Indumathi M. Nambi ◽  
Charles J. Werth ◽  
Robert A. Sanford ◽  
Albert J. Valocchi

2011 ◽  
Vol 47 (6) ◽  
Author(s):  
Olaf A. Cirpka ◽  
Felipe P. J. de Barros ◽  
Gabriele Chiogna ◽  
Massimo Rolle ◽  
Wolfgang Nowak

2010 ◽  
Vol 44 (8) ◽  
pp. 3085-3092 ◽  
Author(s):  
Changyong Zhang ◽  
Qinjun Kang ◽  
Xing Wang ◽  
Julie L. Zilles ◽  
Roland H. Müller ◽  
...  

2010 ◽  
Vol 33 (4) ◽  
pp. 525-535 ◽  
Author(s):  
Thomas Willingham ◽  
Changyong Zhang ◽  
Charles J. Werth ◽  
Albert J. Valocchi ◽  
Mart Oostrom ◽  
...  

Author(s):  
Paul SAPIN ◽  
Paul Duru ◽  
Florian Fichot ◽  
Marc Prat ◽  
Michel Quintard

1999 ◽  
Vol 2 (3) ◽  
pp. 251-262
Author(s):  
P. Gestoso ◽  
A. J. Muller ◽  
A. E. Saez

2017 ◽  
Author(s):  
Pu He ◽  
Li Chen ◽  
Yu-Tong Mu ◽  
Wen-Quan Tao

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