An existence theorem for a problem in oil recovery. (English) Zbl 0886.76091

Paşa, G.

Rev. Roum. Sci. Tech., Sér. Méc. Appl. 39, No. 2, 173-181 (1994).

Summary: An existence theorem is given for a stability problem arising from the secondary oil recovery using the displacement by a polymer solute. The problem is reduced to a Sturm-Liouville system with eigenvalue appearing in the boundary conditions. We obtain, in the first approximation, a growth constant which agrees with formulas known from the literature.

MSC:

76S05	Flows in porous media; filtration; seepage
35Q35	PDEs in connection with fluid mechanics
86A20	Potentials, prospecting

Keywords:

displacement by polymer solute; stability problem; Sturm-Liouville system; eigenvalue; first approximation; growth constant