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Micro to MACRO Mathematical Modelling in Soil Mechanics pp 147–157Cite as

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Adsorption and Diffusion of Pollutants in Unsaturated Soils

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Abstract

In environmental geotechnics, transportation calculations for unsaturated soils have to account for pore-water suction, air content, presence of colloids, diffusion mechanism and the amount of adsorbed water upon the inner porous surfaces. We develop a new physically based three-component model which uses the balance principles for an immiscible mixture of continua with microstructure; includes phenomena of diffusion, adsorption and chemical reactions; proposes suitable constitutive equations to study the flow of a fluid/contaminant mixture through the soil modeled as an elastic porous solid. We also investigate on the conditions of hyperbolicity of the subsystem describing the liquid mixture.

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Acknowledgements

This research was supported by the “Gruppo Nazionale di Fisica Matematica (GNFM)” of the Italian “Istituto Nazionale di Alta Matematica (INDAM)”.

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Authors and Affiliations

  1. Department of Civil Engineering, Energy, Environment and Materials (DICEAM), University Mediterranea of Reggio Calabria, Reggio Calabria, Italy

    Pasquale Giovine

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  1. Pasquale Giovine
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Correspondence to Pasquale Giovine .

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Editors and Affiliations

  1. DICEAM, University Mediterranea, Reggio Calabria, Italy

    Pasquale Giovine

  2. DICeA, University of Florence, Florence, Italy

    Paolo Maria Mariano

  3. DICEAM, University Mediterranea, Reggio Calabria, Italy

    Giuseppe Mortara

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Giovine, P. (2018). Adsorption and Diffusion of Pollutants in Unsaturated Soils. In: Giovine, P., Mariano, P., Mortara, G. (eds) Micro to MACRO Mathematical Modelling in Soil Mechanics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-99474-1_15

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