Fractional Laplace model for hydraulic conductivity

Details Fractional Laplace model for hydraulic conductivity Fractional Laplace model for hydraulic conductivity

Apr 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004georl..3108501m&link_type=abstract

Geophysical Research Letters, Volume 31, Issue 8, CiteID L08501

Physics

Geophysics

4

Hydrology: Groundwater Hydrology, Hydrology: Stochastic Processes, Mathematical Geophysics: Fractals And Multifractals

Scientific paper

Based on an examination of K data from four different sites, a new stochastic fractal model, fractional Laplace motion, is proposed. This model is based on the assumption of spatially stationary ln(K) increments governed by the Laplace PDF, with the increments named fractional Laplace noise. Similar behavior has been reported for other increment processes (often called fluctuations) in the fields of finance and turbulence. The Laplace PDF serves as the basis for a stochastic fractal as a result of the geometric central limit theorem. All Laplace processes reduce to their Gaussian analogs for sufficiently large lags, which may explain the apparent contradiction between large-scale models based on fractional Brownian motion and non-Gaussian behavior on smaller scales.

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