Mathematical Treatment of Point Sources in a Flow Through Porous Media Governed by Darcy's Law

Transport in Porous Media

Volumn 28, Issue 1, 1997, Pages 51-67

  Slodička, Marián ^a  

^a BUNDESWEHR UNIVERSITY MUNICH   (Germany)

Author keywords

Darcy's law; Discrete maximum principle; Gas flow; Jumping conductivity; Point sources; Wells

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; FINITE ELEMENT METHOD; FLOW OF FLUIDS; NUMERICAL ANALYSIS; POROUS MATERIALS; WELLS;

STATIONARY AIR FLOW;

AERODYNAMICS;

AIR FLOW; DARCY LAW; POROUS MEDIUM; WELL;

EID: 0031182516     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1006598701763     Document Type: Article

References (10)

1. Ciarlet, P. G. and Lions, J. L. (eds), 1991: Finite elements methods (Part I), volume II of Handbook of Numerical Analysis. North-Holland, Amsterdam.
2. Douglas, J. Jr., Ewing, R.E. and Wheeler, M.F.: 1983, The approximation of the pressure by a mixed method in the simulation of miscible displacement, RAIRO Anal. Numer. 17(1), 17-33.
3. Ewing, R. E. and Wheeler, M. F.: 1982-83, Galerkin methods for miscible displacement problems with point sources and sinks - unit mobility ratio case, In Mathematical Methods in Energy Research, Proc. Spec. Year, Univ. Wyoming, 1984, pp. 40-58.
4. Gilbarg, D. and Trudinger, N. S.: 1983, Elliptic Partial Differential Equations of Second Order, Springer, Berlin, Heidelberg.
5. Kufner, A., John, O. and Fučik, S.: 1977, Function Spaces, Academia, Prague.
6. p-estimate for the gradient of solutions of second order elliptic divergence equations. Ann. Sci. Norm. Sup. Pisa 17, 189-206.
7. Nieuwenhuizen, R., Zijl, W. and Van Veldhuizen: Flow pattern analysis for a well defined by point sinks. Transport in Porous Media 21, 209-223.
8. Simader, Ch. G.: 1972. On Dirichlet's Boundary Value Problem, Lecture Notes in Math. 268, Springer-Verlag, Berlin, Heidelberg.
9. Stampacchia, G.: Équations elliptiques du second ordre à coefficients discontinus, Les Presses de Montréal, Montréal.
10. Wilson, D. J.: Modeling of Insitu Techniques for Treatment of Contaminated Soils: Soil Vapor Extraction, Sparging, and Bioventing. Technomic Publishing, Lancaster, Basel.