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Published December 10, 1983 | Published
Journal Article Open

Measurements of Mantle Wave Velocities and Inversion for Lateral Heterogeneity and Anisotropy - 1. Analysis of Great Circle Phase Velocities


Long-period (100–330 s) fundamental-mode Love and Rayleigh waves have been processed to measure the great circle phase velocities for about 200 and 250 paths, respectively. The observations are inverted for regionalized phase velocities and for an even-order harmonic expansion of the lateral velocity heterogeneity. The regionalized inversions achieve a maximum variance reduction of about 65% and 85% for the Love and the Rayleigh wave data, respectively. The l_max = 2 inversions give a maximum variance reduction of about 60% and 90% for Love and Rayleigh waves, respectively. The l_max = 8 inversion does not make a large improvement in the fit. The Love wave phase velocities have more power in l = 4 and 6, relative to l = 2, than the Rayleigh waves. For both Love and Rayleigh wave data the sectoral component dominates the l = 2 harmonics, and this component is stable if we increase l_max from 2 to 6. Heat flow also has strong sectoral components (lm = 22), which are approximately in phase with those of the phase velocities. The l = 2 harmonics of the nonhydrostatic geoid are dominated by large zonal (lm = 20) and moderate sectoral components. The sectoral components are in phase with those of the phase velocities. The sectoral pattern of heat flow and phase velocity is controlled by high heat flow-low velocity of the East Pacific Rise and western North America, which is reinforced by low velocities in the antipodal region (Red Sea-Gulf of Aden-East African Rift). By contrast the geoid l = 2 pattern is dominated by geoid highs over the western Pacific subduction zones. A spherical harmonic expansion of regionalized phase velocities shows that they have l = 2 variations similar to those of the l_max = 2 nonregionalized inversions. This means that the regionalization approach is appropriate as a first step for studying lateral heterogeneity of the earth. However, the great circle phase velocities are not sufficient by themselves to uniquely locate the lateral heterogeneity. The same is true for free oscillation data. Regions of convergence have the interesting property of being slow for short-period waves and fast, faster than shields, for long-period waves.

Additional Information

© 1983 American Geophysical Union. Manuscript Accepted: 1 September 1983; Manuscript Received: 1 June 1983. The authors wish to thank Henri-Claude Nataf, Hirao Kanamori, and Bradford Hager for suggestions throughout the course of this study. Jeffrey Given made important suggestions on the retrieval and the editing of GDSN data. Fumiko Tajima and Jeanne Sauber helped us retrieve the seismograms from the GDSN day tapes at an early stage of this study. Annie Souriau kindly provided a preprint of her paper on the regionalization analysis of phase velocities. Henri Pollack made a new version of heat flow spherical harmonic coefficients available to us. The IDA data used in this study were made available by courtesy of the IDA project team at the Institute of Geophysics and planetary Physics, University of California, San Diego. We thank Bernard Minster and Adam Dziewonski for careful reviews of the manuscript. This research was supported by National Aeronautics and Space Administration grant number NSG- 76100 and National Science Foundation grant number EAR811-5236. Contribution number 3899, Division of Geological and Planetary Sciences, California Institute of Technology, Pasadena, California 91125.

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