A fractional order theory of poroelasticity

Massimiliano Zingales, Cutolo, Piccolo, Gianluca Alaimo, Fraldi, Massimiliano Zingales, Luca Deseri

Risultato della ricerca: Articlepeer review

2 Citazioni (Scopus)

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.
Lingua originaleEnglish
Numero di pagine7
RivistaMechanics Research Communications
Volume100
Stato di pubblicazionePublished - 2019

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • ???subjectarea.asjc.2500.2500???
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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