Articles | Volume 19, issue 2
Hydrol. Earth Syst. Sci., 19, 729–745, 2015
https://doi.org/10.5194/hess-19-729-2015
Hydrol. Earth Syst. Sci., 19, 729–745, 2015
https://doi.org/10.5194/hess-19-729-2015

Research article 04 Feb 2015

Research article | 04 Feb 2015

Scalable statistics of correlated random variables and extremes applied to deep borehole porosities

A. Guadagnini et al.

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ED: Publish subject to minor revisions (Editor review) (23 Dec 2014) by Jesús Carrera
AR by Tongchao Nan on behalf of the Authors (02 Jan 2015)  Author's response    Manuscript
ED: Publish subject to technical corrections (05 Jan 2015) by Jesús Carrera
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Short summary
Previously we have shown that many earth-system and other variables can be viewed as samples from scale mixtures of truncated fractional Brownian motion or fractional Gaussian noise. Here we study statistical scaling of extreme absolute increments associated with such samples. As a real example we analyze neutron porosities from deep boreholes in diverse depositional units. Phenomena we uncover are relevant to the analysis of fluid flow and solute transport in complex hydrogeologic environments.