Harmonic wave diffraction by two circular cavities in a poroelastic formation

Seyyed M. Hasheminejad, Reza Avazmohammadi

Research output: Contribution to journalArticle

36 Scopus citations

Abstract

This study investigates the dynamic interaction of time harmonic plane waves with a pair of parallel circular cylindrical cavities of infinite length buried in a boundless porous elastic fluid-saturated medium. The novel features of Biot dynamic theory of poroelasticity along with the appropriate wave field expansions, the pertinent boundary conditions, and the translational addition theorems for cylindrical wave functions are employed to develop a closed-form solution in the form of infinite series. The analytical results are illustrated with numerical examples in which two empty cavities are insonified by a fast compressional or a shear wave at end-on incidence. The basic dynamic field quantities such as the hoop stress amplitude and the radial displacement of the elastic frame are evaluated and discussed for representative values of the parameters characterizing the system. The effects of the proximity of the two cavities, the incident wave frequency and type are examined. Particular attention has been focused on multiple scattering interactions in addition to the slow wave coupling effects which is known to be the primary distinction of the scattering phenomenon in poroelasticity from the classical elastic case. Limiting case involving two empty cylindrical cavities in an elastic solid is considered and excellent agreement with a well-known solution is established.

Original languageEnglish (US)
Pages (from-to)29-41
Number of pages13
JournalSoil Dynamics and Earthquake Engineering
Volume27
Issue number1
DOIs
StatePublished - Jan 2007

Keywords

  • Addition theorem
  • Biot theory
  • Cylindrical cavities
  • Multiple scattering
  • Poroelasticity

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Geotechnical Engineering and Engineering Geology
  • Soil Science

Fingerprint Dive into the research topics of 'Harmonic wave diffraction by two circular cavities in a poroelastic formation'. Together they form a unique fingerprint.

Cite this