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A Green's function for determining the deformation of the Earth under surface mass loads: 2. Computations and numerical results

1963; American Geophysical Union; Volume: 68; Issue: 2 Linguagem: Inglês

10.1029/jz068i002p00485

2156-2202

I. M. Longman,

Geotechnical Engineering and Soil Stabilization

Journal of Geophysical Research (1896-1977)Volume 68, Issue 2 p. 485-496 A Green's function for determining the deformation of the Earth under surface mass loads: 2. Computations and numerical results I. M. Longman, I. M. LongmanSearch for more papers by this author I. M. Longman, I. M. LongmanSearch for more papers by this author First published: 15 January 1963 https://doi.org/10.1029/JZ068i002p00485Citations: 184AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Abstract The equations given in part 1 of this paper are further developed so as to facilitate computation. Numerical results for the surface deformation and the perturbation in the superficial gravity field of the earth are presented for the Gutenberg earth model, which is assumed to be subjected to surface mass loading. A certain difficulty in computing the deformation of the earth close to a concentrated load is experienced, but a method for resolving this difficulty is outlined. Values of Love numbers hn, kn, ln and the associated load-deformation coefficients hn′, kn′, ln′ are presented to three places of decimals for values of n up to 25, and approximate values of hn′, kn′, ln′ are given for n = 26 through 40. References Adams, L. H., E. Williamson, The composition of the earth's interiorSmithsonian Inst. Rept. 241, 1923. Alterman, Z., H. Jarosch, C. L. Pekeris, Propagation of Rayleigh waves in the earth, Geophys. J., 4, 219–241, 1961. Hobson, E. W., The Theory of Spherical and Ellipsoidal Harmonics, 335, Chelsea, New York, 1955. Longman, I. M., A Green's function for determining the deformation of the earth under surface mass loads, 1, Theory, J. Geophys. Res., 67, 845–850, 1962. Munk, W. H., G. J. F. MacDonald, The Rotation of the Earth-A Geophysical Discussion, 29, Cambridge University Press, 1960. Takeuchi, H., Deformation of the earth by surface loads,J. Fac. Sci. Univ. Tokyo, sect. 2, vol. 7, part 2,chap. 7,1951. Takeuchi, H., M. Saito, N. Kobayashi, Statical deformations and free oscillations of a model earth, J. Geophys. Res., 67, 1141–1154, 1962. Timoshenko, S., J. N. Goodier, Theory of Elasticity, 362, McGraw-Hill Book Co., New York, 1951. Citing Literature Volume68, Issue215 January 1963Pages 485-496 ReferencesRelatedInformation