Approximation to cutoffs of higher modes of Rayleigh waves for a layered earth model
Pure and Applied Geophysics
By: Y. Xu, J. Xia, and R. D. Miller
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Abstract
A cutoff defines the long-period termination of a Rayleigh-wave higher mode and, therefore is a key characteristic of higher mode energy relationship to several material properties of the subsurface. Cutoffs have been used to estimate the shear-wave velocity of an underlying half space of a layered earth model. In this study, we describe a method that replaces the multilayer earth model with a single surface layer overlying the half-space model, accomplished by harmonic averaging of velocities and arithmetic averaging of densities. Using numerical comparisons with theoretical models validates the single-layer approximation. Accuracy of this single-layer approximation is best defined by values of the calculated error in the frequency and phase velocity estimate at a cutoff. Our proposed method is intuitively explained using ray theory. Numerical results indicate that a cutoffs frequency is controlled by the averaged elastic properties within the passing depth of Rayleigh waves and the shear-wave velocity of the underlying half space. ?? Birkh??user Verlag, Basel 2009.
| Publication type | Article |
|---|---|
| Publication Subtype | Journal Article |
| Title | Approximation to cutoffs of higher modes of Rayleigh waves for a layered earth model |
| Series title | Pure and Applied Geophysics |
| DOI | 10.1007/s00024-008-0443-4 |
| Volume | 166 |
| Issue | 3 |
| Year Published | 2009 |
| Language | English |
| Larger Work Type | Article |
| Larger Work Subtype | Journal Article |
| Larger Work Title | Pure and Applied Geophysics |
| First page | 339 |
| Last page | 351 |
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