Use of the truncated shifted Pareto distribution in assessing size distribution of oil and gas fields
Mathematical Geology
By: J.C. Houghton
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Abstract
The truncated shifted Pareto (TSP) distribution, a variant of the two-parameter Pareto distribution, in which one parameter is added to shift the distribution right and left and the right-hand side is truncated, is used to model size distributions of oil and gas fields for resource assessment. Assumptions about limits to the left-hand and right-hand side reduce the number of parameters to two. The TSP distribution has advantages over the more customary lognormal distribution because it has a simple analytic expression, allowing exact computation of several statistics of interest, has a "J-shape," and has more flexibility in the thickness of the right-hand tail. Oil field sizes from the Minnelusa play in the Powder River Basin, Wyoming and Montana, are used as a case study. Probability plotting procedures allow easy visualization of the fit and help the assessment. ?? 1988 International Association for Mathematical Geology.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | Use of the truncated shifted Pareto distribution in assessing size distribution of oil and gas fields |
| Series title | Mathematical Geology |
| DOI | 10.1007/BF00892970 |
| Volume | 20 |
| Issue | 8 |
| Year Published | 1988 |
| Language | English |
| Publisher location | Kluwer Academic Publishers-Plenum Publishers |
| Larger Work Type | Article |
| Larger Work Subtype | Journal Article |
| Larger Work Title | Mathematical Geology |
| First page | 907 |
| Last page | 937 |
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