A fractional order theory of poroelasticity

G. Alaimo, V. Piccolo, A. Cutolo, L. Deseri, M. Fraldi, M. Zingales

Research output: Contribution to journalArticle

2 Scopus citations

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.

Original languageEnglish (US)
Article number103395
JournalMechanics Research Communications
Volume100
DOIs
StatePublished - Sep 2019

Keywords

  • Caputo's fractional derivative
  • Fractional operators
  • Poroelasticity

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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