Symmetry of the wave equation and excitation of body waves

作者: C. H. Chapman , J. H. Woodhouse

DOI: 10.1111/J.1365-246X.1981.TB04883.X

关键词:

摘要: Summary. The symmetry of the differential system for elastic waves, previously noted plane geometry, is extended to any linear and, in particular, elastic-gravitational vibrations a spherical earth. result remains valid linearly viscoelastic medium. allows inverse propagator matrix be obtained by simply ‘transposing’ elements propagator. With this result, it shown how source excitation using particular integral can put more instructive form, comparable with normal modes.

参考文章(16)
Freeman Gilbert, George E. Backus, Propagator matrices in elastic wave and vibration problems Geophysics. ,vol. 31, pp. 326- 332 ,(1966) , 10.1190/1.1439771
Augustus Edward Hough Love, A treatise on the mathematical theory of elasticity ,(1892)
F. Gilbert, Excitation of the Normal Modes of the Earth by Earthquake Sources Geophysical Journal International. ,vol. 22, pp. 223- 226 ,(1971) , 10.1111/J.1365-246X.1971.TB03593.X
Phase Memory and Additional Memory in W.K.B. Solutions for Wave Propagation in Stratified Media Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 350, pp. 27- 46 ,(1976) , 10.1098/RSPA.1976.0093
B. L. N. Kennett, N. J. Kerry, Seismic waves in a stratified half space. Geophysical Journal International. ,vol. 57, pp. 557- 583 ,(1979) , 10.1111/J.1365-246X.1979.TB06779.X
B. L. N. Kennett, N. J. Kerry, J. H. Woodhouse, Symmetries in the reflection and transmission of elastic waves Geophysical Journal International. ,vol. 52, pp. 215- 229 ,(1978) , 10.1111/J.1365-246X.1978.TB04230.X
S. N. Ward, On elastic wave calculations in a sphere using moment tensor sources Geophysical Journal International. ,vol. 66, pp. 23- 30 ,(1981) , 10.1111/J.1365-246X.1981.TB05945.X
J. H. Woodhouse, Surface Waves in a Laterally Varying Layered Structure Geophysical Journal International. ,vol. 37, pp. 461- 490 ,(1974) , 10.1111/J.1365-246X.1974.TB04098.X
B. L. N. Kennett, On Variational Principles and Matrix Methods in Elastodynamics Geophysical Journal International. ,vol. 37, pp. 391- 405 ,(1974) , 10.1111/J.1365-246X.1974.TB04092.X
L. Neil Frazer, Use of the spherical layer matrix in inhomogeneous media Geophysical Journal International. ,vol. 50, pp. 743- 749 ,(1977) , 10.1111/J.1365-246X.1977.TB01345.X