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On the dependence of the saturated hydraulic conductivity upon the effective porosity through a power law model at different scales
Author(s) -
Fallico Carmine,
De Bartolo Samuele,
Veltri Massimo,
Severino Gerardo
Publication year - 2016
Publication title -
hydrological processes
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.222
H-Index - 161
eISSN - 1099-1085
pISSN - 0885-6087
DOI - 10.1002/hyp.10798
Subject(s) - hydraulic conductivity , porosity , scale (ratio) , power law , function (biology) , statistical physics , power function , field (mathematics) , conductivity , simple (philosophy) , set (abstract data type) , hydrology (agriculture) , soil science , mechanics , geology , environmental science , thermodynamics , geotechnical engineering , mathematics , physics , computer science , mathematical analysis , soil water , statistics , pure mathematics , philosophy , epistemology , quantum mechanics , evolutionary biology , biology , programming language
We study the scale dependence of the saturated hydraulic conductivity K s through the effective porosity n e by means of a newly developed power‐law model (PLM) which allows to use simultaneously measurements at different scales. The model is expressed as product between a single PLM (capturing the impact of the dominating scale) and a characteristic function κ ⋆ accounting for the correction because of the other scale(s). The simple (closed form) expression of the κ ⋆ ‐function enables one to easily identify the scales which are relevant for K s . The proposed model is then applied to a set of real data taken at the experimental site of Montalto Uffugo (Italy), and we show that in this case two (i.e. laboratory and field) scales appear to be the main ones. The implications toward an important application (solute transport) in Hydrology are finally discussed. Copyright © 2016 John Wiley & Sons, Ltd.