In-situ Measurement of Damping Ratio Spectra from the Inversion of Phase Velocities of P and S Waves in Cross-hole Seismic Testing

Linear viscoelasticity is the simplest constitutive model able to capture the capacity exhibited by geomaterials to absorb and dissipate strain energy at low-strain dynamic excitations. An important result implied by this theory is the interdependency of phase velocity dispersion and damping ratio of P- and S-waves by the Kramers-Kronig dispersion relations which are nothing but a mathematical statement of the principle of physical causality. Recently obtained exact solutions of Kramers-Kronig relations establish a direct, functional relationship between material damping ratio and the speed of propagation of seismic waves which can be profitably used in experimental measurement of low-strain dynamic properties of geomaterials. Specifically, determination of material damping ratio spectra from phase velocity measurement of P and S waves through geophysical in-situ testing seems particularly attractive. This paper aims at providing a preliminary validation for an underway work of the authors whose ultimate goal is setting up a reliable methodology for the in-situ measurement of damping ratio from standard cross-hole seismic testing.

Language

  • English

Media Info

  • Media Type: Digital/other
  • Features: Figures; References; Tables;
  • Pagination: pp 578-582
  • Monograph Title: Advances in Transportation Geotechnics II

Subject/Index Terms

Filing Info

  • Accession Number: 01473229
  • Record Type: Publication
  • ISBN: 9780415621359
  • Files: TRIS
  • Created Date: Feb 19 2013 3:03PM