Rayleigh wave group velocity in a spherically symmetric gravitating earth model |
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Authors: | Sarva Jit Singh |
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Institution: | (1) Department of Mathematics, Maharshi Dayanand University, 124 001 Rohtak, India |
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Abstract: | Expressions for kinetic energy, elastic potential energy and gravitational potential energy for the spheroidal oscillations
of a spherically symmetric, self-gravitating, elastic earth model have been obtained. Some inconsistencies in the expressions
given by earlier authors have been pointed out. The principle of equipartition of energy and the Rayleigh principle have been
used to derive a formula for Rayleigh wave group velocity in terms of energy integrals. This formula can be used to compute
the group velocity without the numerical differentiation implied in its definition |
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Keywords: | Energy integrals group velocity Rayleigh waves spheroidal oscillations |
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