Open AccessLoading tides on a stratified viscoelastic self‐gravitating half‐space
Author(s) -
Mao W. J.
Publication year - 1990
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.1990.tb04580.x
Subject(s) - computation , viscoelasticity , geology , geophysics , mantle (geology) , crust , upper crust , inversion (geology) , half space , geodesy , seismology , geometry , physics , mathematics , tectonics , algorithm , thermodynamics
SUMMARY The calculation of loading tides on a stratified viscoelastic self‐gravitating half‐space is studied. The advantages of using this model instead of the spherical model are that the crustal and upper mantle local structure can be better modelled in the near‐field problems. Moreover the loss‐of‐precision problems caused by the cummation of high‐order Love number terms can be avoided in the computation. It can be easily applied to the ocean tide and crust and upper mantle local structure inversion. The equations of motion are solved and the various Green's functions of loading tides are calculated by the solutions of the equations of motion satisfying the surface mass‐load boundary conditions (stresses and perturbing potential). The results show that the effects of self‐gravitation are negligible for the evaluation of loading tides for displacements, tilt and strains. However the perturbing density field contribution to the gravity Green's function is more than 30 per cent for distances greater than 3 km from the load. Following Zschau's work (1978) we give a new expression for calculating the energy dissipation for the high‐order spherical harmonic contribution of the ocean loading tides.