Inverse problems for torsional modes.
Geophysical Journal of the Royal Astronomical Society
By: C. Willis
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Abstract
Considers a spherically symmetric, non-rotating Earth consisting of an isotropic, perfect elastic material where the density and the S-wave velocity may have one or two discontinuities in the upper mantle. Shows that given the velocity throughout the mantle and the crust and given the density in the lower mantle, then the freqencies of the torsional oscillations of one angular order (one torsional spectrum), determine the density in the upper mantle and in the crust uniquely. If the velocity is known only in the lower mantle, then the frequencies of the torsional oscillations of two angular orders uniquely determine both the density and the velocity in the upper mantle and in the crust. In particular, the position and size of the discontinuities in the density and velocity are uniquely determined by two torsional spectra.-Author
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | Inverse problems for torsional modes. |
| Series title | Geophysical Journal of the Royal Astronomical Society |
| DOI | 10.1111/j.1365-246X.1984.tb05074.x |
| Volume | 78 |
| Issue | 3 |
| Year Published | 1984 |
| Language | English |
| Publisher | Wiley |
| Larger Work Type | Article |
| Larger Work Subtype | Journal Article |
| Larger Work Title | Geophysical Journal of the Royal Astronomical Society |
| First page | 847 |
| Last page | 853 |
| Google Analytic Metrics | Metrics page |