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Transport analysis in deformable porous media through integral transforms
Author(s) -
Bonazzi Alessandra,
Jha Birendra,
de Barros Felipe P. J.
Publication year - 2020
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.3150
Subject(s) - terzaghi's principle , consolidation (business) , compressibility , plume , poromechanics , geotechnical engineering , mechanics , porous medium , geology , field (mathematics) , porosity , materials science , pore water pressure , mathematics , physics , thermodynamics , accounting , pure mathematics , business
Abstract Geomechanical deformation can alter the flow field that impacts solute mass fluxes. Despite its importance, the effects of the coupling between geomechanical deformation and the flow field on solute transport behavior are not fully known. In this paper, we study the impact of this coupling on the solute concentration distribution. The concentration field is semianalytically derived by making use of the generalized integral transform technique. We apply the semianalytical solution to two uniaxial consolidation problems, the classical Terzaghi's problem with a constant load and the case of periodic loading of a porous deformable layer. Our results indicate that geomechanical parameters, such as the Skempton's coefficient and the soil compressibility, can affect the peak concentration as well as the spatial moments of solute plume. In case of periodic loading, we show that the frequency of loading also plays a key role in regulating the temporal dynamics of the concentration field.