We introduce a time memory formalism in the flux-pressure constitutive relation, ruling the fluid diffusion phenomenon occurring in several classes of porous media. The resulting flux-pressure law is adopted into the Biot's formulation of the poroelasticity problem. The time memory formalism, useful to capture non-Darcy behavior, is modeled by the Caputo's fractional derivative. We show that the time-evolution of both the degree of settlement and the pressure field is strongly influenced by the order of Caputo's fractional derivative. Also a numerical experiment aiming at simulating the confined compression test poroelasticity problem of a sand sample is performed. In such a case, the classical Darcy equation may lead to inaccurate estimates of the settlement time.

Alaimo G., Piccolo V., Cutolo A., Deseri L., Fraldi M., & Zingales M. (2019). A fractional order theory of poroelasticity. MECHANICS RESEARCH COMMUNICATIONS, 100 [10.1016/j.mechrescom.2019.103395].

A fractional order theory of poroelasticity

Fraldi M.
Membro del Collaboration Group
;
Zingales M.
2019

Abstract

We introduce a time memory formalism in the flux-pressure constitutive relation, ruling the fluid diffusion phenomenon occurring in several classes of porous media. The resulting flux-pressure law is adopted into the Biot's formulation of the poroelasticity problem. The time memory formalism, useful to capture non-Darcy behavior, is modeled by the Caputo's fractional derivative. We show that the time-evolution of both the degree of settlement and the pressure field is strongly influenced by the order of Caputo's fractional derivative. Also a numerical experiment aiming at simulating the confined compression test poroelasticity problem of a sand sample is performed. In such a case, the classical Darcy equation may lead to inaccurate estimates of the settlement time.
Settore ICAR/08 - Scienza Delle Costruzioni
Alaimo G., Piccolo V., Cutolo A., Deseri L., Fraldi M., & Zingales M. (2019). A fractional order theory of poroelasticity. MECHANICS RESEARCH COMMUNICATIONS, 100 [10.1016/j.mechrescom.2019.103395].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10447/485565
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