On the free oscillations of a laterally heterogeneous earth model |
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Authors: | Jafar Arkani-Hamed |
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Affiliation: | (1) Department of Physics, Arya-Mehr University of Technology, Tehran, Iran;(2) Present address: The Lunar Science Institute, 3303 NASA Road 1, 77058 Houston, Texas, U.S.A. |
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Abstract: | Summary The equations of motion for the free oscillations of a heterogeneous spherical earth model are derived. It is found that the lateral variations of density and elastic moduli couple the odd(even) harmonics of the spheroidal oscillations with themselves as well as with the even (odd) harmonics of the torsional oscillations.List of symbols r, , Spherical coordinates;r is the radial distance from earth's center, is the co-latitude, and is the east longitude - r Space vector denoting a point with coordinatesr, , and - Gradient operator - 2 Laplacian operator - ij Kronecker's delta function - I Identity matrix - i |
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