An existence theorem for a control problem in oil recovery

Numerical Functional Analysis and Optimization

Volumn 17, Issue 9-10, 1996, Pages 911-923

  Pasa, Gelu I ^a  

^a INSTITUTE OF MATHEMATICS   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ENHANCED RECOVERY; FLUIDS; INTERFACES (MATERIALS); PERTURBATION TECHNIQUES; POLYMERS; POROUS MATERIALS; PROCESS CONTROL; SURFACE TENSION; VISCOSITY; WATER;

EXISTENCE THEOREM; HILBERT SPACE; WAVENUMBERS;

MATHEMATICAL TECHNIQUES;

EID: 0030288912     PISSN: 01630563     EISSN: None     Source Type: Journal    
DOI: 10.1080/01630569608816734     Document Type: Article

References (9)

1. P.G. Saffman, G.I. Taylor (1958), The penetration of a fluid in a porous medium., Proc. Roy. Soc., A 245, pp.312-329
2. R.L. Chouke, P. Van Meurs and C. Van der Poel (1959), The stability of a slow, immiscible, viscous liquid-liquid displacements in a permeable media, Trans AIME, 216, pp.188-194.
3. S.B. Gorell and G.M. Homsy (1983), A theory of the optimal policy of oil recovery by the secondary displacement process. SIAM J. Appl. Math., 43, No.1, pp.79-98.
4. G.I. Pasa and D.A. Poliševski (1992), Instability of interfaces in oil recovery, Int. J. Engng. Sci., 30, pp. 161-167.
5. G.I. Pasa (1994), An existence theorem for a problem in oil recovery, Rev. Roum. Mec. Appl., 39, pp.72-81.
6. G.I.Pasa (1994), A numerical characterization of the growth constant in oil recovery. Preprint IMAR No.43.
7. J. Cea, Optimization- Theorie et algorithmes (1971), Dunod, Paris
8. R. Courant and D. Hilbert, Method of Mathematical Physics (1965), Interscience Publishers, Inc., New-York.
9. C. Carasso and G.I. Pasa, to appear.