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Modelling of cement suspension flow in granular porous media
Author(s) -
Saada Z.,
Canou J.,
Dormieux L.,
Dupla J. C.,
Maghous S.
Publication year - 2005
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.433
Subject(s) - porous medium , permeability (electromagnetism) , geotechnical engineering , porosity , cement , granular material , mechanics , grout , filtration (mathematics) , materials science , phenomenological model , mathematics , engineering , composite material , physics , chemistry , biochemistry , statistics , membrane
A theoretical model of cement suspensions flow in granular porous media considering particle filtration is presented in this paper. Two phenomenological laws have been retained for the filtration rate and the intrinsic permeability evolution. A linear evolution with respect to the volume fraction of cement in the grout has been retained for the filtration rate. The intrinsic permeability of the porous medium is looked for in the form of a hyperbolic function of the porosity change. The model depends on two phenomenological parameters only. The equations of this model are solved analytically in the one‐dimensional case. Besides, a numerical resolution based on the finite element method is also presented. It could be implemented easily in situations where no analytical solution is available. Finally, the predictions of the model are compared to the results of a grout injection test on a long column of sand. Copyright © 2005 John Wiley & Sons, Ltd.