THEORY OF THE OPTIMAL POLICY OF OIL RECOVERY BY SECONDARY DISPLACEMENT PROCESSES.

Sheldon B. Gorell, G. M. Homsy

Research output: Contribution to journalArticle

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Abstract

The stability of the displacement of a viscous fluid in a porous medium by a less viscous fluid containing a solute is considered. For the case in which the total amount of injected solute is fixed, a theory is formulated for the optimal injection policy, i. e. , the policy which minimizes the growth constant of the Saffman-Taylor-Chouke instability. The result is a nonlinear constrained eigenvalue problem with the viscosity ratio, alpha , of the two fluids and the total solute, N, as parameters. Perturbation solutions are developed for large and small N and numerical solutions for all N. Several features of the optimal policy which have been noted or demonstrated empirically by previous workers are proved, and new features of the solution are discussed.

Original languageEnglish
Pages (from-to)79-98
Number of pages20
JournalSIAM Journal on Applied Mathematics
Volume43
Issue number1
DOIs
StatePublished - 1983

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