Three dimensional simulation of unstable immiscible displacement in the porous medium

1997 ◽  
Vol 18 (1) ◽  
pp. 81-89 ◽  
Author(s):  
Tan Xiaoping ◽  
Pei Juemin ◽  
Chen Junkai
2015 ◽  
Vol 70 (5) ◽  
pp. 383-394 ◽  
Author(s):  
Akil J. Harfash ◽  
Ahmed K. Alshara

AbstractThe linear and nonlinear stability analysis of the motionless state (conduction solution) and of a vertical throughflow in an anisotropic porous medium are tested. In particular, the effect of a nonhomogeneous porosity and a constant anisotropic thermal diffusivity have been taken into account. Then, the accuracy of the linear instability thresholds are tested using a three dimensional simulation. It is shown that the strong stabilising effect of gravity field. Moreover, the results support the assertion that the linear theory, in general, is accurate in predicting the onset of convective motion, and thus, regions of stability.


1992 ◽  
Vol 167 (1) ◽  
pp. 9-21 ◽  
Author(s):  
J. P. Jernot ◽  
P. Bhanu Prasad ◽  
P. Demaleprade

2008 ◽  
Vol 128 (2) ◽  
pp. 459-466 ◽  
Author(s):  
Yoshitaka Inui ◽  
Tadashi Tanaka ◽  
Tomoyoshi Kanno

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