Отправлено: 05.09.19 05:53. Заголовок: Application of the power mean to modeling the elastic properties of reservoir rocks

Application of the power mean to modeling the elastic properties of reservoir rocks
Fuyong Yan and De-Hua Han
J. Geophys. Eng. 15 ( 2018) 2686–2694 ( 9pp)

Abstract
The relationship between seismic velocity and porosity is one of the most important research
topics in exploration geophysics. A strong correlation, if it exists, can be very useful for
quantitative seismic interpretation of direct hydrocarbon indicators. The Voigt and Reuss bounds
are often plotted alongside the data for quality control and interpretation. The relative position of
the data within the bounds may supply important information regarding the pore shape, stress
condition, lithology, and diagenesis of porous rocks. It is found that the Voigt bound and Reuss
bound are actually special cases of the weighted power mean, with the power parameters being 1
and −1, respectively. The geometric mean is a special case of the power mean with the power
parameter being zero. The power mean is a monotonic function of the power parameter. For the
construction of a rock physics template, the region between the Voigt and Reuss bounds can be
evenly divided by varying the power parameter between −1 and 1. The power mean can be a
very useful tool for modeling the elastic properties of rocks. We have demonstrated the potential
applications of the power mean in the studies of velocity-porosity relation, effective media, and
pore fluids effect on seismic velocities.
Keywords: power mean, effective medium, geometric mean, Voigt bound, Reuss bound

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Я про подобный вариант дважды докладывал на EAGE
Тенчов про него писал

Ссылки я и не ожидал встретить


Но подход это таки смотрится упрощенными