Nonstationary filtration in partially saturated porous media: Continuity of the free boundary

1982 ◽  
Vol 79 (3) ◽  
pp. 261-265 ◽  
Author(s):  
C. J. van Duyn
Keyword(s):  
Porous Media ◽  
Free Boundary ◽  
Saturated Porous Media ◽  
Partially Saturated ◽  
Nonstationary Filtration ◽  
Partially Saturated Porous Media

scholarly journals Nonstationary filtration in partially saturated porous media

1994 ◽  
Vol 5 (3) ◽  
pp. 405-429 ◽  
Author(s):  
Xinfu Chen ◽  
Avner Friedman ◽  
Tsuyoshi Kimura
Keyword(s):  
Porous Medium ◽  
Porous Media ◽  
Unique Solution ◽  
Boundary Data ◽  
Saturated Porous Media ◽  
Two Dimensional ◽  
Free Boundaries ◽  
Partially Saturated ◽  
Nonstationary Filtration ◽  
Partially Saturated Porous Media

Nonstationary two-dimensional filtration in a porous medium is considered, whereby part of the medium is saturated, another part is unsaturated but wet, and the remaining part is dry. The saturated/unsaturated and unsaturated/dry interfaces are free boundaries. It is shown that there exists a unique solution, and that the saturation function is continuous in the wet portion of the medium; this implies that the two interfaces are separated. Under some monotonicity-type conditions on the initial and boundary data it is shown that the free boundaries are continuous.

(Invited) Multi-Scale Analysis of Transport in Dry and Partially-Saturated Porous Media

2021 ◽  
Vol MA2021-01 (27) ◽  
pp. 961-961
Author(s):  
Marc Secanell ◽  
Seongyeop Jung ◽  
Alexandre Jarauta-Arabi ◽  
Fei Wei ◽  
Mayank Sabharwal ◽  
...  
Keyword(s):  
Porous Media ◽  
Saturated Porous Media ◽  
Scale Analysis ◽  
Multi Scale ◽  
Partially Saturated ◽  
Partially Saturated Porous Media ◽  
Multi Scale Analysis
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