The Size Distribution of Oil And Gas Fields

Cover The Size Distribution of Oil And Gas Fields
The Size Distribution of Oil And Gas Fields
G M Kaufman
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We make three assumptions: I - The random variable s is Lognormally distributed with ■ -2 parameter (^^, 0^ ): s~£j^(s|^^, a;2) . I ■■;• II - The random variable ? is Lognormally distributed with -2 ■ parameter (H(. |o^ ): ~, -2 r^ - ^L^'^tl^^t^°t ) • - 14 - 3. 2 Derivation We may informally regard the process of discovering fields as hypergeometric--like sampling from a Lognormal population in which "area" under the probability distribution function of s is "used up" as sampling progresses; i.
... E. As more and more fields are discovered. In [1]^ it is shown that as the number of discovered fields increases^ the frequency histogram of these fields asymptotically approaches a Lognormal functional form if I above is true.
-2 More precisely^ I and II imply that given R^ S, (|i(^, o^ ), and -2 (|i ^o ), the probability distribution of field sizes remaining to be '•^^ discovered z is ■ .
R K[fJz|M^, a;2) --^fjzl, ^, ol^)], z > 0, a^ > 0, a >, ' t ' s •* -»

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