Use of the geometric average for effective permeability estimation

Jerry L. Jensen

    Research output: Contribution to journalArticle

    Abstract

    The geometric average is often used to estimate the effective (large-scale) permeability from smaller-scale samples. In doing so, one assumes that the geometric average is a good estimator of the geometric mean. Problems with this estimator arise, however, when one or more of the samples has a very low value. The estimate obtained becomes very sensitive to the small values in the sample set, while the true effective permeability may be only weakly dependent on these small values. Several alternative methods of estimating the geometric mean are suggested. In particular, a more robust estimator of the geometric mean, the jth Winsorized mean, is proposed and several of its properties are compared with those of the geometric average. © 1991 International Association for Mathematical Geology.

    Original languageEnglish
    Pages (from-to)833-840
    Number of pages8
    JournalMathematical Geology
    Volume23
    Issue number6
    DOIs
    Publication statusPublished - Jul 1991

    Keywords

    • geometric average
    • geometric mean
    • jth Winsorized mean
    • permeability
    • robust estimation

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