Open AccessA Variational Formulation for Love Waves in a Layered Anelastic Solid
Author(s) -
Silva Walt
Publication year - 1958
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1958.tb05337.x
Subject(s) - estuary , salinity , geology , tidal current , turbulence , oceanography , homogeneity (statistics) , stratification (seeds) , eddy diffusion , flow (mathematics) , tidal river , hydrology (agriculture) , mixing (physics) , environmental science , meteorology , mechanics , geotechnical engineering , mathematics , physics , quantum mechanics , seed dormancy , statistics , germination , botany , dormancy , biology
Summary A method is presented which allows the variational formulation for elastic surface waves to be extended to the case of dissipative media. With this formulation, correct to second order in the loss, Rayleigh's principle can be applied to perturbations of the Rayleigh quotient to yield group velocity without numerical differentiation. Other perturbations can be used to find the change in phase or group velocity due to changes in loss, density, or moduli.