Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

The statistical and dimensionless-time analog to the generalized Dykstra-Parsons method

Journal Article · · SPE (Society of Petroleum Engineers) Reserv. Eng.; (United States)
DOI:https://doi.org/10.2118/14523-PA· OSTI ID:5340286
Statistical and graphic representation of the recently generalized Dykstra-Parsons vertical stratification analysis are presented for the injection constraints of constant rate and pressure. Waterflood performance parameters include the instantaneous reservoir water cut and the vertical coverage as functions of dimensionless real time and injection constraint for a complete range of mobility ratios and permeability variations. The layer permeabilities are log-normally distributed. The real times associated with the two injection constraints are reduced to dimensionless forms by use of reference times that are both rational and different for the respective injection constraints. The introduction of real time or dimensionless real time reveals the dramatic distinction in performance characteristics between the constant-injection-rate (CIR) and constant-injection-pressure (CIP) cases. Elimination of the time basis between the waterflood performance parameters masks the distinction between the two injection constraints and reduces the graphic solutions to those originally presented by Dykstra and Parsons without the inclusion of their severely restrictive recovery correlation. The relationship between complete vertical coverage and dimensionless time is shown to be a simple analytic function of the permeability variation statistic and the number of beds for the case of constant injection pressure.
Research Organization:
Chemical and Petroleum Engineering Dept., Univ. of Pittsburgh, PA (US)
OSTI ID:
5340286
Journal Information:
SPE (Society of Petroleum Engineers) Reserv. Eng.; (United States), Journal Name: SPE (Society of Petroleum Engineers) Reserv. Eng.; (United States) Vol. 3:1; ISSN SREEE
Country of Publication:
United States
Language:
English