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Petroleum exploration models—Estimation and applications
Authors:Zbigniew ?ucki and Zbigniew Szkutnik
Institution:(1) Institute of Industrial Engineering, Academy of Mining and Metallurgy, ul. Gramatyki 10, 30-067 Cracow, Poland;(2) Institute of Mathematics, Academy of Mining and Metallurgy, Al. Mickiewicza 30, 30-059 Cracow, Poland
Abstract:Three statistical models of oil and gas exploration prevail in the literature: field size distribution, ldquoexploration function,rdquo and ldquoeffectiveness of explorationrdquo models. They may have many functional forms and may be used for prediction and planning results of future exploration activity. A review of American and Soviet literature of exploration models is presented with special emphasis on functions suitable for countries which, like Poland, are not rich in oil and gas. Two new procedures are proposed: a method for assessing field size distribution and a method for simultaneous interval estimation of parameters of the exploration function. The methods complement existing ones as they are suited to areas that are not rich in hydrocarbons. Examples of application to exploration of two Polish petroliferous basins are given.
Keywords:Exploration models  resource evaluation  maximum likelihood estimates
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