Hydrology and Earth System Sciences
Hydrology and Earth System Sciences
HESS
Articles | Volume 19, issue 2
Articles | Volume 19, issue 2
https://doi.org/10.5194/hess-19-729-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/hess-19-729-2015
© Author(s) 2015. This work is distributed under
the Creative Commons Attribution 3.0 License.
Articles | Volume 19, issue 2
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, S. P. Neuman, T. Nan, M. Riva, and C. L. Winter

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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.
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