Acoustoelasticity of solid/fluid composite systems

Andrew N. Norris, Bikash K. Sinha, Sergio Kostek

Research output: Contribution to journalArticlepeer-review

81 Scopus citations

Abstract

A heterogeneous medium composed of inviscid fluid and solid constituents is pre‐stressed, resulting in relative slip of material particles at the interfaces between the solid and the fluid. The standard theory of acoustoelasticity, which is concerned with small deformation superimposed upon large initial strain, is generalized here to include the effects of the interfacial slip. Difficulties arise from the possibility that the traction, viewed as a function of either the undeformed material (Lagrangian) coordinates or of the intermediate coordinates, is not necessarily continuous across the interface. It is shown that the problem is most easily considered in the intermediate coordinates, leading to a divergence formulation of the equations of small motion from which the interface conditions arise naturally. The theory is demonstrated for the problem of a fluid‐filled borehole with a pressurized fluid and pre‐strained solid. An explicit expression is found for the change in the speed of the tube wave, which is the quasi‐static limit of the Stoneley wave mode.

Original languageEnglish (US)
Pages (from-to)439-446
Number of pages8
JournalGeophysical Journal International
Volume118
Issue number2
DOIs
StatePublished - Aug 1994

All Science Journal Classification (ASJC) codes

  • Geophysics
  • Geochemistry and Petrology

Keywords

  • acoustoelasticity
  • interface
  • pre‐stress
  • tube wave

Fingerprint Dive into the research topics of 'Acoustoelasticity of solid/fluid composite systems'. Together they form a unique fingerprint.

Cite this