The Effect of the Relative Permeability Ratio, the Oil Gravity, and the Solution Gas-Oil Ratio on the Primary Recovery From a Depletion Type Reservoir
- J.J. Arps (British-American Oil Producing Co.) | T.G. Roberts (British-American Oil Producing Co.)
- Document ID
- Society of Petroleum Engineers
- Transactions of the AIME
- Publication Date
- December 1955
- Document Type
- Journal Paper
- 120 - 127
- 1955. Original copyright American Institute of Mining, Metallurgical, and Petroleum Engineers, Inc. Copyright has expired.
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Published in Petroleum Transactions, AIME, Volume 204, 1955, pages 120-127.
Since the introduction of the relative permeability concept in the middle thirties various investigators have shown how the basic equations for the flow of oil and gas through porous media can be utilized to compute the recovery from depletion type or solution gas drive type reservoirs under certain conditions, when the necessary physical data pertaining to the reservoir rock and its reservoir fluids are known.
In the study by Muskat and Taylor in 1945, the effects of viscosity, gas solubility, shrinkage, and the permeability-saturation characteristics of the producing formation on the production histories and the recovery of gas drive reservoirs were analyzed. Each parameter was varied a limited number of times, while keeping the others constant. The work was not carried to the point where the data could be used directly to estimate the primary recovery in those cases where certain rock and fluid characteristics were known or could be assumed.
Since the publication of this classic study, the work by Beal in 1946 and Standing in 1952 has established general correlations of oil viscosity and shrinkage with gas solubility and oil gravity. In addition, a considerable number of relative permeability relationships for different types of reservoir rocks has been published. Also, the burden of the numerical work required in the solutions of the differential equation has, during the last few years, been greatly reduced with the availability of modern electronic computing facilities.
The purpose of this paper is therefore to present the results of a large number of such recovery computations covering the normal range of variation of the main parameters such as the type of rock, the API gravity of the oil, and the amount of gas in solution.
As is to be expected, the ultimate recovery is found to increase with the oil gravity, except for the higher solution gas-oil ratios.
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