A fractal model for volume change dependency of the water retention curve
Authors:
- A. KhoshghalbAKA. Khoshghalb
- A.Y. PashaAPA.Y. Pasha
- N. KhaliliNKN. Khalili
- 1 February 2015
- journal article
- Published by Emerald Publishing in Géotechnique
- Vol. 65 (2) , 141-146
Abstract
A fractal-based approach for volume change dependency of the water retention curve in a deformable unsaturated soil is presented. Conservation laws of solid mass and solid surface for uncrushable grains and Eshelby's classical theory for load–deformation of a single elastic ellipsoidal void embedded in an infinite isotropic elastic matrix are exploited to derive analytical expressions for the evolution of pore size distribution fractal dimension, air entry suction and hence water retention curve with void ratio. The applicability of the model to two experimental data sets from the literature is investigated.Keywords
This publication has 26 references indexed in Scilit:
- A water retention curve and unsaturated hydraulic conductivity model for deformable soils: consideration of the change in pore-size distributionGéotechnique, 2013
- Benchmark of constitutive models for unsaturated soilsGéotechnique, 2011
- Deformation of Pores in Viscoplastic Soil MaterialInternational Journal of Geomechanics, 2006
- Packing-limited growth of irregular objectsPhysical Review E, 2003
- Packing-limited growthPhysical Review E, 2002
- Applications of percolation theory to porous media with distributed local conductancesAdvances in Water Resources, 2001
- The water retention function for a model of soil structure with pore and solid fractal distributionsEuropean Journal of Soil Science, 2000
- Fractal models for predicting soil hydraulic properties: a reviewEngineering Geology, 1997
- Quantification of fungal morphology, gaseous transport and microbial dynamics in soil: an integrated framework utilising fractal geometryGeoderma, 1993
- The determination of the elastic field of an ellipsoidal inclusion, and related problemsProceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1957