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.
Suggested Citation
Houghton, J., 1988, Use of the truncated shifted Pareto distribution in assessing size distribution of oil and gas fields: Mathematical Geology, v. 20, no. 8, p. 907-937, https://doi.org/10.1007/BF00892970.
| 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 |