The speed of a wave along a fluid/solid interface in the presence of anisotropy and prestress

Andrew N. Norris, Bikash K. Sinha

Research output: Contribution to journalArticlepeer-review

38 Scopus citations

Abstract

The classical solution for the Scholte wave along a fluid and isotropic substrate is well known. However, when the substrate is either a weakly anisotropic solid, or the adjoining fluid is subject to a hydrostatic pressure, the analysis of Scholte wave propagation becomes rather complex and lengthy computations are required to obtain the solution. The purpose of this paper is to apply simple and computationally efficient expressions in the determination of Scholte wave speeds for substrates with either weak anisotropy or in the presence of uniform initial stresses and strains in the substrate and fluid media. Both of these two simple expressions are for the incremental change in the Scholte wave speed Δv/v from an appropriately selected isotropic, reference substrate and adjoining fluid under no hydrostatic pressure. The predictions of the Scholte wave speeds from the derived expressions agree to well within 1%-2% with the other approximation techniques for the high-frequency asymptotes of the Stoneley wave velocity dispersions in a fluid-filled borehole traversing either a weakly anisotropic formation or a formation with initial stresses and strains caused by a borehole pressurization.

Original languageEnglish (US)
Pages (from-to)1147-1154
Number of pages8
JournalJournal of the Acoustical Society of America
Volume98
Issue number2
DOIs
StatePublished - Aug 1995

All Science Journal Classification (ASJC) codes

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

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