scholarly journals Fractional Approach for Equation Describing the Water Transport in Unsaturated Porous Media With Mittag-Leffler Kernel

2019 ◽  
Vol 7 ◽  
Author(s):  
D. G. Prakasha ◽  
P. Veeresha ◽  
Jagdev Singh
Keyword(s):  
Porous Media ◽  
Water Transport ◽  
Unsaturated Porous Media

Numerical Modeling of Heat and Mass Transport with Inner Heat Exchange in Unsaturated Porous Media

2020 ◽  
Vol 27 ◽  
pp. 166-176
Author(s):  
Jozef Kačur ◽  
Patrik Mihala
Keyword(s):  
Mathematical Model ◽  
Porous Media ◽  
Heat Exchange ◽  
Inverse Problems ◽  
Water Transport ◽  
Heat Conductivity ◽  
Unsaturated Porous Media ◽  
Heat Transmission ◽  
Matrix Heat

We are focused to the numerical modelling of heat, contaminant and water transport in unsaturated porous media in 3D. The heat exchange between water and porous media matrix is taken into the account. The determination of heat energy transmission coefficient and matrix heat conductivity is solved by means of inverse problem methods. The mathematical model represents the conservation of heat, contaminant and water mass balance. It is expressed by coupled non-linear system of parabolic-elliptic equations. Mathematical model for water transport in unsaturated porous media is represented by Richard's type equation. Heat transport by water includes water flux, molecular diffusion and dispersion. A successful experiment scenario is suggested to determine the required parameters including heat transmission and matrix heat conductivity coefficients. Additionally we investigate contaminant transport with heat transmission and contaminant adsorption. The obtained experiments support our method suitable for solution of direct and inverse problems. This problem we have discussed previously in 1D model, but preferential streamlines in 1D thin tubes shadow accurate results in determination of required parameters. In our presented setting we consider a cylindrical sample which is suitable in laboratory experiments for inverse problems.

An Analytic Solution of Water Transport in Unsaturated Porous Media

2008 ◽  
Vol 11 (6) ◽  
pp. 591-601 ◽  
Author(s):  
M. Nasseri ◽  
M. R. Shaghaghian ◽  
Y. Daneshbod ◽  
H. Seyyedian
Keyword(s):  
Porous Media ◽  
Water Transport ◽  
Analytic Solution ◽  
Unsaturated Porous Media

Advancements in multi‐phase unsaturated porous media fracture

PAMM ◽  
2021 ◽  
Vol 20 (1) ◽  
Author(s):  
Yousef Heider ◽  
WaiChing Sun ◽  
Bernd Markert
Keyword(s):  
Porous Media ◽  
Unsaturated Porous Media ◽  
Multi Phase

Transport and Deposition of Metabolically Active and Stationary PhaseDeinococcus radioduransin Unsaturated Porous Media

2007 ◽  
Vol 41 (4) ◽  
pp. 1265-1271 ◽  
Author(s):  
G. Gargiulo ◽  
S. A. Bradford ◽  
J. Šimůnek ◽  
P. Ustohal ◽  
H. Vereecken ◽  
...  
Keyword(s):  
Porous Media ◽  
Unsaturated Porous Media
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