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Signature of the transition zone in the tomographic results extracted through the Eigenfunctions of the two‐point correlation
Author(s) -
Balachandar S.
Publication year - 1995
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/95gl01787
Subject(s) - transition zone , eigenfunction , mantle (geology) , geology , tomography , correlation , seismic tomography , physics , geophysics , geometry , mathematics , eigenvalues and eigenvectors , optics , quantum mechanics
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 et al. 1993) shows no signature of the mantle transition zone. The radial correlation function and associated radial correlation length are 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 most energetic eigenfunctions reveal the signature of the mantle transition zone.