An analytical extension of the Dykstra-Parsons vertical stratification discrete solution to a continuous, real-time basis

Conference · Sat Oct 01 04:00:00 EDT 1983 · Soc. Pet. Eng. AIME, Pap.; (United States)

OSTI ID:5293185

Reznik, A A; Enick, R M; Panvelker, S

Analytically exact and continuous solutions are developed for the space-time relationships of a linear waterflood in a vertically-stratified reservoir model. The solutions represent simple extensions of the analytical, but discrete, spatial relationships of Dykstra and Parsons to analytically continuous expressions. Explicit solutions for time are presented which permit the coupling of all instantaneous and cumulative performance parameters to a completely rational time basis. The continuous nature of the solutions permits unusual fluid behavior to be observed between successive bed breakthrough points. Although the model assumes piston-like displacement, these novel phenomena do not appear to be artifacts of this limiting assumption. This work develops the concept of a bed property time which forms the basis for a generalized bedordering parameter. For the case of constant injection pressure, property time is shown to be identical to the real or process time. For the common case of constant overall injection rate, the customary use of property time concepts to determine real or process time is shown to be completely erroneous, yielding values which are incorrect both in magnitude and in trend. A bed flood-front passing phenomenon is presented which allows the flood fronts of ''slower'' beds to initially lead those of ''faster'' beds if specified constraints are satisfied. It is shown that these constraints can be satisfied for moderate bed-fluid property variations.

• Research Organization: Univ. of Pittsburgh
• OSTI ID: 5293185
• Report Number(s): CONF-8310121-
• Conference Information: Journal Name: Soc. Pet. Eng. AIME, Pap.; (United States) Journal Volume: SPE 12065
• Country of Publication: United States
• Language: English

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ANALYTICAL SOLUTION
ENGINEERING
ENHANCED RECOVERY
FLUID INJECTION
FLUID MECHANICS
FLUIDS
MATHEMATICAL MODELS
MECHANICS
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PRESSURE DEPENDENCE
REAL TIME SYSTEMS
RECOVERY
RESERVOIR ENGINEERING
RESERVOIR FLUIDS
RESERVOIR ROCK
ROCK-FLUID INTERACTIONS
SATURATION
STRATIFICATION
WATER SATURATION
WATERFLOODING
WELLS