PMID: 11916125Mar 28, 2002Paper

Nonparametric method for transmissivity distributions along boreholes

Ground Water
Asa Fransson

Abstract

The transmissivities of individual fractures along a borehole are difficult to obtain unless each fracture is tested. To estimate a fracture-transmissivity distribution from section transmissivities, a method was developed based on fixed-interval-length transmissivities and the corresponding number of fractures for each interval. The method is nonparametric and iterative, and the fractures are viewed as two-dimensional features, in which the total transmissivity of a borehole is equal to the sum of individual fracture transmissivities. Initially, a linear a priori assumption of the transmissivity distribution is made, and from this a so-called mean transmissivity function is derived. Subsequently, the mean transmissivity of the Nj fractures within a section, j, of the borehole is estimated, and the same value of the mean transmissivity function represents Nj possible fracture transmissivities from the initial distribution. This is repeated for each borehole section, and, eventually, all fracture transmissivities are sorted to give the next iteration's transmissivity distribution and the corresponding mean transmissivity function. Finally, the distributions converge, yielding a possible fracture-transmissivity distribution. The ...Continue Reading

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