Ray theory for an anisotropic inhomogeneous elastic medium

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  • N. J. Vlaar
    Institute of Technology Dept. of Geophysics & Geophysical Engineering Saint Louis University St. Louis, Missouri

書誌事項

公開日
1968-12-01
DOI
  • 10.1785/bssa0580062053
公開者
Seismological Society of America (SSA)

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<jats:title>ABSTRACT</jats:title> <jats:p>A ray theory is developed for an inhomogeneous, anisotropic medium, based on the concept of a wave front as the carrier of a discontinuity in particle velocity. The discontinuity conditions of several field quantities involved are formulated and serve to cast the problem in terms of a partial differential equation. The characteristics of this equation subsequently are identified in terms of rays, represented in parametric form as space curves. The energy transport along the rays is formulated by means of transport equations.</jats:p> <jats:p>The theory is applied in particular to the case of the transversely (horizontally) isotropic, vertically inhomogeneous medium. Equations for rays and travel times are obtained in the form of integrals, which are suited for serving the purpose of numerical computations.</jats:p>

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