University of Illinois Urbana-Champaign

Signature of transition zone in tomographic results extracted through eigenfunctions of two-point correlation

Balachandar, S.

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https://hdl.handle.net/2142/112459

Description

Title
Signature of transition zone in tomographic results extracted through eigenfunctions of two-point correlation
Author(s)
Balachandar, S.
Issue Date
1994-09
Keyword(s)
  • Tomographic Results
  • Transition Zone
  • Eigenfunctions
  • Two-point Correlation
Abstract
Seismic tomography (Tanimoto 1990, Su & Dziewonski 1991 and Masters et al. 1992) has provided detailed three-dimensional map of the shear wave velocity in the Earth's mantle. These tomographic results when characterized by the radial correlation function (Jordan 1993) shows no signature of the mantle transition zone. The radial correlation function and associated radial correlation length are arbitrary subsets of the entire two-point correlation and therefore here we propose an optimal characterization of the two-point correlation in terms of its eigenfunctions. It is shown that the eigenrepresentation of the tomographic data converges rapidly and that the two most energetic eigenfunctions, which nearly account for 54% of the two-point correlation, clearly reveal the signature of the mantle transition zone. These results on the eigenfunctions support the theory that the present day mantle is partially layered.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 766
  • 1994-6022
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112459
Sponsor(s)/Grant Number(s)
National Science Foundation 94/09
Copyright and License Information
Copyright 1994 Board of Trustees of the University of Illinois

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Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.