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Determination of macro-scale soil properties from pore-scale structures: model derivation.


ABSTRACT: In this paper, we use homogenization to derive a set of macro-scale poro-elastic equations for soils composed of rigid solid particles, air-filled pore space and a poro-elastic mixed phase. We consider the derivation in the limit of large deformation and show that by solving representative problems on the micro-scale we can parametrize the macro-scale equations. To validate the homogenization procedure, we compare the predictions of the homogenized equations with those of the full equations for a range of different geometries and material properties. We show that the results differ by [Formula: see text] for all cases considered. The success of the homogenization scheme means that it can be used to determine the macro-scale poro-elastic properties of soils from the underlying structure. Hence, it will prove a valuable tool in both characterization and optimization.

SUBMITTER: Daly KR 

PROVIDER: S-EPMC5806009 | biostudies-literature | 2018 Jan

REPOSITORIES: biostudies-literature

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Determination of macro-scale soil properties from pore-scale structures: model derivation.

Daly K R KR   Roose T T  

Proceedings. Mathematical, physical, and engineering sciences 20180131 2209


In this paper, we use homogenization to derive a set of macro-scale poro-elastic equations for soils composed of rigid solid particles, air-filled pore space and a poro-elastic mixed phase. We consider the derivation in the limit of large deformation and show that by solving representative problems on the micro-scale we can parametrize the macro-scale equations. To validate the homogenization procedure, we compare the predictions of the homogenized equations with those of the full equations for  ...[more]

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