Astronomy and Astrophysics – Astronomy
Scientific paper
May 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999geoji.137..449s&link_type=abstract
Geophysical Journal International, Volume 137, Issue 2, pp. 449-468.
Astronomy and Astrophysics
Astronomy
1
Displacement, Gravity, Green'S Function, Isostasy, Load Love Number, Surface Load
Scientific paper
In this paper we study gravity and potential changes of a spherically symmetric earth model caused by a point surface mass load. We define load Love numbers for any radial distance r, and derive expressions of Green's functions for calculating the vertical displacement, potential and gravity changes for any r, especially on the undeformed and deformed surface of the earth. Numerical calculations are carried out for the 1066A earth model, using the Runge-Kutta integration method. Load Love numbers are obtained for three depths: r=a, r=6334.4 km and r=3484 km. The results show that the load Love numbers inside the earth decrease very quickly as n increases. The smaller the radial distance r, the faster the decrease of the load Love numbers with n. As one would expect, the load Love numbers inside the earth for degrees 2 and 20 indicate that a low-degree load Love number has a global contribution and varies gently in magnitude along the radius, while a high-degree load Love number reflects a regional or even a local contribution and decreases very rapidly as the depth increases. The Green's functions of vertical displacement, potential and gravity changes for the three depths mentioned above are also numerically calculated. All the Green's functions show that deformation in the near field is much larger than that in the far field and the whole earth deforms under a surface mass load. Since a mass redistribution must occur in the whole earth, a topographic-isostatic potential model obtained by the loading theory must be composed of all harmonic degrees, from 0 to infinity. The immediate application of this work will be to the study of a topographic-isostatic potential model.
Sjöberg Lars E.
Sun Wenke
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