A mass conservative numerical solution of vertical water flow and mass transport equations in unsaturated porous media

1993 ◽  
Vol 20 (2) ◽  
pp. 91-99
Author(s):  
Seung Cheol Lim ◽  
Kun Jai Lee
Keyword(s):  
Porous Media ◽  
Mass Transport ◽  
Numerical Solution ◽  
Water Flow ◽  
Transport Equations ◽  
Unsaturated Porous Media ◽  
Flow And Mass Transport

scholarly journals Stochastic Risk and Uncertainty Analysis for Shale Gas Extraction in the Karoo Basin of South Africa

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Abdon Atangana ◽  
Gerrit van Tonder
Keyword(s):  
South Africa ◽  
Mass Transport ◽  
Sampling Method ◽  
Latin Hypercube Sampling ◽  
Transport Equations ◽  
Upward Migration ◽  
Karoo Basin ◽  
Fracking Fluid ◽  
Stochastic Risk ◽  
Flow And Mass Transport

We made use of groundwater flow and mass transport equations to investigate the crucial potential risk of water pollution from hydraulic fracturing especially in the case of the Karoo system in South Africa. This paper shows that the upward migration of fluids will depend on the apertures of the cement cracks and fractures in the rock formation. The greater the apertures, the quicker the movement of the fluid. We presented a novel sampling method, which is the combination of the Monte Carlo and the Latin hypercube sampling. The method was used for uncertainties analysis of the apertures in the groundwater and mass transport equations. The study reveals that, in the case of the Karoo, fracking will only be successful if and only if the upward methane and fracking fluid migration can be controlled, for example, by plugging the entire fracked reservoir with cement.

scholarly journals Impact of microbial growth on water flow and solute transport in unsaturated porous media

2006 ◽  
Vol 42 (10) ◽  
Author(s):  
R. R. Yarwood ◽  
M. L. Rockhold ◽  
M. R. Niemet ◽  
J. S. Selker ◽  
P. J. Bottomley
Keyword(s):  
Porous Media ◽  
Solute Transport ◽  
Water Flow ◽  
Microbial Growth ◽  
Unsaturated Porous Media

scholarly journals Horizontal water flow in unsaturated porous media using a fractional integral method with an adaptive time step

2017 ◽  
Vol 48 ◽  
pp. 584-592 ◽  
Author(s):  
Amauri A. Freitas ◽  
Daniel G. Alfaro Vigo ◽  
Marcello G. Teixeira ◽  
Carlos A.B. de Vasconcellos
Keyword(s):  
Porous Media ◽  
Water Flow ◽  
Integral Method ◽  
Fractional Integral ◽  
Unsaturated Porous Media ◽  
Time Step ◽  
Adaptive Time Step ◽  
Adaptive Time
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