Geoderma, ( ISI ), Volume (352), Year (2019-10) , Pages (213-227)

Title : ( Revising tortuosity and multi-fractal assumptions of unsaturated hydraulic conductivity from critical path analysis of percolation theory )

Authors: Arash Modaresirad , Bijan Ghahraman , Mojtaba Sadegh ,

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Abstract

The relation between soil pore structure and water retention is complex and is often not well determined. We present a novel approach based on critical path analysis from percolation theory to refine hydraulic conductivity estimation from soil water retention curve by introducing a new tortuosity parameter as a function of scaling factor. We generalize this model to account for large shifts in the relation between soil pore structure and water retention, which are indicative of soils with multi-fractal properties, by employing a t-test on scaled saturation and suction data. The proposed model relaxes the constraints that were set on model parameters for multi-fractal soils in the literature by tuning “all” parameters against observed data using a multiple-start gradient-based optimization algorithm, and is applicable to a wider variety of soil textures. The optimization results are further evaluated against those of a Markov Chain Monte Carlo algorithm to ensure global optimum is found. Goodnessof- fit (GOF) measures, including geometric mean and standard deviation error ratios, and Nash-Sutcliffe efficiency, show that the proposed model presents less bias across the entire range of matric potential compared to its predecessor that under-estimate hydraulic conductivity in all studied cases.

Keywords

, unsaturated hydraulic conductivity, capillary conductivity, film conductivity, fractal model, water retention curve, percolation theory, tortuosity
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@article{paperid:1079264,
author = {Modaresirad, Arash and Ghahraman, Bijan and مجتبی صادق},
title = {Revising tortuosity and multi-fractal assumptions of unsaturated hydraulic conductivity from critical path analysis of percolation theory},
journal = {Geoderma},
year = {2019},
volume = {352},
month = {October},
issn = {0016-7061},
pages = {213--227},
numpages = {14},
keywords = {unsaturated hydraulic conductivity; capillary conductivity; film conductivity; fractal model; water retention curve; percolation theory; tortuosity},
}

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%0 Journal Article
%T Revising tortuosity and multi-fractal assumptions of unsaturated hydraulic conductivity from critical path analysis of percolation theory
%A Modaresirad, Arash
%A Ghahraman, Bijan
%A مجتبی صادق
%J Geoderma
%@ 0016-7061
%D 2019

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