1887

Abstract

Summary

The facies indicator variogram in the vertical direction is related to the thickness probability density function (pdf) of these facies. This relationship, which can help interpret the indicator variogram, is discussed and illustrated on two case studies. Exponential variograms are related to exponential pdf as shown using data from the Latemar platform (Italy). If the statistical variability of thicknesses decreases, a Gamma pdf may be more relevant. The resulting variogram is known to show a damped hole-effect (periodicity) which is used here to fit the wackestone facies variogram. A similar approach is developed on a carbonate outcrop from the Austrian Alps where the pdf shows a fractal behaviour. In this case, it is checked that the fit is better with a so-called stable variogram. The exponent of the variogram is deduced from the shape parameter of the power law using maximum likelihood estimation. Therefore, the hole-effect and stable variograms are quite useful for representing vertical facies variations within a reservoir.

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/content/papers/10.3997/2214-4609.201700731
2017-06-12
2020-08-13
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