Pressure Behavior During Polymer Flow in Petroleum Reservoirs

[+] Author and Article Information
Chi U. Ikoku

Petroleum Engineering Department, The University of Tulsa, Tulsa, Okla. 74104

H. J. Ramey

Petroleum Engineering Department, Stanford University, Stanford, Calif. 94305

J. Energy Resour. Technol 104(2), 149-156 (Jun 01, 1982) (8 pages) doi:10.1115/1.3230392 History: Received January 21, 1980; Revised December 03, 1981; Online October 22, 2009


This paper presents solutions of the nonlinear partial differential equation using the Douglas-Jones predictor-corrector method for the numerical solution of nonlinear partial differential equations. The results are presented in tabular form and as semilogarithmic and log-log type-curve graphs. Graphs of dimensionless pressure versus dimensionless radius also are presented. Compared to results from analytical solutions of the linear partial differential equation, the graphs have the same shape. The error introduced by the linearizing approximation is small for many values of the flow behavior index, n , and decreases as n tends to unity. Dimensionless pressure is a linear function of dimensionless radius to the power (1–n ), near the well, as predicted by the steady-state equations. Also radius of investigation equation derived analytically agrees with results from numerical solutions.

Copyright © 1982 by ASME
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