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Surface Wave Propagation in Layered Anistropic Media


Anderson, Don Lynn (1962) Surface Wave Propagation in Layered Anistropic Media. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/ADTM-DX51.


An analysis is made of the dispersive properties of layered anisotropic media, emphasis being placed on the geophysically important case of transverse isotropy. Period equations are derived for Rayleigh, Stoneley and Love type waves. A correspondence is established, in certain cases, with ray theoretical and plane stress solutions. The general anisotropic problem (orthorhombic symmetry) is considered briefly for certain propagation directions and is used to derive the two-dimensional theory of seismic modeling. The single layer solutions are generalized to the n-layer problem by use of Thomson-Haskell matrices. The results are used to interpret long period surface wave data. It is found that an anisotropy of approximately 8% in the low velocity zone removes the discrepency between Love and Rayleigh waves.

Item Type:Thesis (Dissertation (Ph.D.))
Subject Keywords:(Geophysics and Mathematics)
Degree Grantor:California Institute of Technology
Division:Geological and Planetary Sciences
Major Option:Geophysics
Minor Option:Mathematics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Press, Frank
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 January 1962
Record Number:CaltechETD:etd-10142002-091205
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4076
Deposited By: Imported from ETD-db
Deposited On:15 Oct 2002
Last Modified:22 Nov 2023 21:28

Thesis Files

PDF (Anderson_dl_1962.pdf) - Final Version
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