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.
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June 1982
Research Papers
Pressure Behavior During Polymer Flow in Petroleum Reservoirs
Chi U. Ikoku,
Chi U. Ikoku
Petroleum Engineering Department, The University of Tulsa, Tulsa, Okla. 74104
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H. J. Ramey, Jr.
H. J. Ramey, Jr.
Petroleum Engineering Department, Stanford University, Stanford, Calif. 94305
Search for other works by this author on:
Chi U. Ikoku
Petroleum Engineering Department, The University of Tulsa, Tulsa, Okla. 74104
H. J. Ramey, Jr.
Petroleum Engineering Department, Stanford University, Stanford, Calif. 94305
J. Energy Resour. Technol. Jun 1982, 104(2): 149-156 (8 pages)
Published Online: June 1, 1982
Article history
Received:
January 21, 1980
Revised:
December 3, 1981
Online:
October 22, 2009
Citation
Ikoku, C. U., and Ramey, H. J., Jr. (June 1, 1982). "Pressure Behavior During Polymer Flow in Petroleum Reservoirs." ASME. J. Energy Resour. Technol. June 1982; 104(2): 149–156. https://doi.org/10.1115/1.3230392
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