Wave propagation in inhomogeneous orthotropic rocks

C. D. Wang*, D. S. Wu, Jyh-Jong Liao

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Analytical solutions for body wave velocities are yielded for a continuously inhomogeneous orthotropic rock, in which Young's moduli (E x, E y, E z), shear modulus (G xy, G yz, G xz), and the medium density (ρ) all varied exponentially as depth increased. However, three Poison's ratios (ν xy, ν yz, ν xz) of the orthotropic rocks are remained constants regardless of depth. The generalized Hooke's law, strain-displacement relationships, and equilibrium equations are integrated to constitute the governing equations. In these equations, displacement components are fundamental variables, and hence, the solutions of three quasi-wave velocities, V P, V SV, and V SH, are generated for the inhomogeneous orthotropic media. The proposed solutions correlate well with the orthotropic solutions when the inhomogeneity parameter, α, is 0. In addition, parametric study results indicate that the magnitudes of wave velocity are markedly affected by (1) the inhomogeneity parameter; (2) the type and degree of geomaterial anisotropy; (3) the phase angle; and (4) the medium density. Consequently, one must consider the influence of inhomogeneous characteristic when investigating the behaviors of wave propagation in orthotropic rocks.

Original languageEnglish
Title of host publicationHarmonising Rock Engineering and the Environment - Proceedings of the 12th ISRM International Congress on Rock Mechanics
Pages1285-1288
Number of pages4
DOIs
StatePublished - 13 Feb 2012
Event12th International Congress on Rock Mechanics of the International Society for Rock Mechanics, ISRM 2011 - Beijing, China
Duration: 18 Oct 201121 Oct 2011

Publication series

NameHarmonising Rock Engineering and the Environment - Proceedings of the 12th ISRM International Congress on Rock Mechanics

Conference

Conference12th International Congress on Rock Mechanics of the International Society for Rock Mechanics, ISRM 2011
CountryChina
CityBeijing
Period18/10/1121/10/11

Keywords

  • Dynamics
  • Rock properties

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