Computation of a Linear Flood by the Stabilized Zone Method
- J. Jones-Parra (Graduate Student) | John C. Calhoun Jr. (Pennsylvania State College)
- Document ID
- Society of Petroleum Engineers
- Journal of Petroleum Technology
- Publication Date
- December 1953
- Document Type
- Journal Paper
- 11 - 14
- 1953. Original copyright American Institute of Mining, Metallurgical, and Petroleum Engineers, Inc. Copyright has expired.
- 4.3.4 Scale, 5.3.1 Flow in Porous Media, 5.1 Reservoir Characterisation
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The purpose of this paper is to present the results obtained by solving thefractional flow and frontal advance equations to obtain oil recovery at waterbreakthrough as a function of the length of the system being flooded, thelinear velocity of injection and the displacing phase viscosity. The method ofsolution makes use of the stabilized zone concept first presented byTerwilliger, et al. when calculating saturation distributions in a gravitydrainage system. In order to check the calculated results, the equations andmethod of solution were applied to the system on which Rapoport and Leasreported experimental data.
Method of Solution
The solution of the fractional flow equation
and the frontal advance equation
is obtained by assuming that a water front forms to sweep the oil out ahead ofit. There is ample evidence that under the proper conditions a water front doesform. If this water front is not to dissipate, the water saturations whichcomprise it must have equal linear velocities. These water saturations are saidto comprise the stabilized zone. Equation (2) indicates that for all thesesaturations
and hence fw must plot as a straight line against saturation for those watersaturations comprising the stabilized zone.
The water saturations lying between the highest in the stabilized zone andthe highest that can be achieved in the porous medium comprise the variablezone.
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