On Christoffel roots for nondetached slowness surfaces |
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| Authors: | Len Bos Michael A Slawinski Theodore Stanoev |
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| Institution: | 1. Dipartimento di Informatica, Università di Verona, 37134 Verona, Italy;2. Department of Earth Sciences, Memorial University of Newfoundland, St. John's, NL A1B 3X5 Canada |
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| Abstract: | The only restriction on the values of the elasticity parameters is the stability condition. Within this condition, we examine the Christoffel equation for nondetached qP slowness surfaces in transversely isotropic media. If the qP slowness surface is detached, each root of the solubility condition corresponds to a distinct smooth wavefront. If the qP slowness surface is nondetached, the roots are elliptical but do not correspond to distinct wavefronts; also, the qP and qSV slowness surfaces are not smooth. |
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| Keywords: | Anisotropy Mathematical formulation |
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