2021
DOI: 10.1007/s00707-021-03030-4
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Double poroelasticity derived from the microstructure

Abstract: We derive the balance equations for a double poroelastic material which comprises a matrix with embedded subphases. We assume that the distance between the subphases (the local scale) is much smaller than the size of the domain (the global scale). We assume that at the local scale both the matrix and subphases can be described by Biot’s anisotropic, heterogeneous, compressible poroelasticity (i.e. the porescale is already smoothed out). We then decompose the spatial variations by means of the two-scale homogen… Show more

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Cited by 9 publications
(4 citation statements)
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References 47 publications
(124 reference statements)
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“…( 2019 ) also concerns a model derived by analogous assumptions but with an emphasis of the numerical computations of the effective properties and their influence on wave propagation. In 2021, Miller and Penta ( 2021a ) derived an effective model for the interactions between two poroelastic phases, thus generalising the previous works Royer et al. ( 2019 ) and Chen et al.…”
Section: Introductionmentioning
confidence: 71%
“…( 2019 ) also concerns a model derived by analogous assumptions but with an emphasis of the numerical computations of the effective properties and their influence on wave propagation. In 2021, Miller and Penta ( 2021a ) derived an effective model for the interactions between two poroelastic phases, thus generalising the previous works Royer et al. ( 2019 ) and Chen et al.…”
Section: Introductionmentioning
confidence: 71%
“…The work [26] also concerns a model derived by analogous assumptions but with an emphasis of the numerical computations of the effective properties and their influence on wave propagation. In 2021, [27] derived an effective model for the interactions between two poroelastic phases, thus generalising the previous works [28,29] which addressed the interaction between a solid and a poroelastic compartment.…”
Section: Introductionmentioning
confidence: 98%
“…Recently, the technique was used in the derivation of the models of poroelastic composites and double poroelastic materials [34,33]. The asymptotic homogenization technique produces computationally feasible results and to illustrate this a variety of analyses have been carried out [38,17].…”
Section: Introductionmentioning
confidence: 99%