A model for a viscous preflush prior to gelation in a porous medium
Author(s) -
F.J. Vermolen,
P. L. J. Zitha,
J. Bruining
Publication year - 2002
Publication title -
computing and visualization in science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.519
H-Index - 44
eISSN - 1433-0369
pISSN - 1432-9360
DOI - 10.1007/s007910100073
Subject(s) - viscous fingering , porous medium , mechanics , conservation law , saturation (graph theory) , enhanced oil recovery , constant (computer programming) , porosity , penetration (warfare) , materials science , thermodynamics , mathematics , geology , petroleum engineering , geotechnical engineering , mathematical analysis , computer science , physics , programming language , operations research , combinatorics
. In this paper we propose and analyse a simplified mathematical model on the effect of a fully miscible preflush on gel-placement in an oil reservoir. The approach is based on a segregated flow model even if the two phases are fully miscible. For the rate of a constant injection rate condition, exact solutions are constructed for the scalar conservation law. Saturation profiles consist of shocks and fingering zones. For constant pressure conditions we construct a semi-explicit relation for the shock position and gel penetration depth.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom