An analytical solution for critical withdrawal of layered fluid through a line sink in a porous medium

Journal of the Australian Mathematical Society Series B-Applied Mathematics

Volumn 39, Issue 2, 1997, Pages 271-279

  Zhang, H ^a   Hocking, G C ^b   Barry, D A ^a  

^a UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

^b MURDOCH UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000765831     PISSN: 03342700     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0334270000008845     Document Type: Article

References (8)

1. J. Bear, Dynamics of fluids in porous media (American Elsevier, New York, 1972).
2. J. Bear and G. Dagan, "Some exact solutions of interface problems by means of the hodograph method", J. Geophys. Res. 69 (1964) 1563-1572.
3. B. W. Char, K. O. Geddes, G. H. Gonnet, B. L. Leong, M. B. Monagan and S. M. Watt, Maple library reference manual (Springer-Verlag, New York, 1991).
4. G. Dagan and J. Bear, "Solving the problem of local interface upconing in a coastal aquifer by the method of small perturbations", J. IAHR 1 (1968) 15-44.
5. J. F. McCarthy, "Gas and water cresting towards horizontal wells", J. Austral. Math. Soc. Ser. B 35 (1993) 174-197.
6. J. F. McCarthy, "Improved model of water cresting", J. Austral. Math. Soc. Ser. B 35 (1993) 207-222.
7. C. Yih, Stratified flows (Academic Press, 1980).
8. H. Zhang and G. C. Hocking, "Withdrawal of layered fluid through a line sink in a porous medium", J. Austral. Math. Soc. Ser. B 38 (1996) 240-254.