Abstract
This paper presents a Bayesian version of the classical model of Kaufman et al. for the order of discovery of hydrocarbon pools and the distribution of their sizes in a geologically homogeneous area. Using the model, a Bayesian method is developed for estimating the distribution of the size of the undiscovered pools using the information from the discovery record. This method avoids most of the arbitrary choices required by the modified maximum likelihood method developed by Lee and Wang. As an example, this method is applied to the same Bashaw reef data on which Lee and Wang demonstrated their approach. For this case, the Bayesian approach produces sharly lower estimates of undiscovered resources.
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References
Grace, J. D., 1986, Advantages and limitations of discovery process modeling—The case of the Northern and West Siberian Gas Plays: presentation at NATO Advanced Study Institute on the Statistical Treatment for Estimation of Energy and Mineral Resources, Lucca, Italy.
Kaufman, G. M., Balcer, Y., and Kruyt, D., 1975, A probabilistic model of oil and gas discovery,in J.D. Haun (Ed.), Estimating the volume of undiscovered oil and gas reserves, Studies in geology, vol. I: Oklahoma, American Association of Petroleum Geologists, p. 113–142.
Lee, P. J., and Wang, P. C. C., 1983a, Probabilistic formulation of a method for the evaluation of petroleum resources: Math. Geol., v. 15, p. 163–181.
Lee, P. J., and Wang, P. C. C., 1983b, Conditional analysis for petroleum resource evaluation: Math Geol., v. 15, p. 353–365.
Lee, P. J., and Wang, P. C. C., 1985, Prediction of oil or gas pool sizes when discovery record is available: Math. Geol., v. 17, p. 95–113.
Lindley, D. V., Tversky, A., and Brown, R. V., 1979, On the reconciliation of probability assessments: J. R. Statist. Soc. A. 142, Part 2, p. 146–180.
Morris, P. A., 1977, Combining expert judgments—A bayesian approach: Mgmt. Sci., v. 23, p. 679–793.
Savage, L. J., 1971, Elicitations of personal probabilities and expectations: J. Am. Statist. Assoc., v. 66, p. 783–801.
Spetzler, C. S., and Stael Von Holstein, C. S., 1975, Probability encoding in decision analysis: Mgmt. Sci., v. 22, p. 340–358.
Stone, L. D., 1983, The process of search planning: Current approaches and continuing problems: Operations Research, v. 31, p. 207–293.
Winkler, R. L., 1981, Combining probability distributions from dependent information sources: Mgmt. Sci. v. 27, p. 479–488.
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Stone, L.D. Bayesian estimation of undiscovered pool sizes using the discovery record. Math Geol 22, 309–332 (1990). https://doi.org/10.1007/BF00889891
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DOI: https://doi.org/10.1007/BF00889891