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Journal ArticleDOI

A Green's function for determining the deformation of the Earth under surface mass loads: 1. Theory

I. M. Longman
- 01 Feb 1962 - 
- Vol. 67, Iss: 2, pp 845-850
TLDR
In this article, a method is given for the determination of the surface deformation of the earth and the perturbation in its superficial gravity field caused by an idealized unit point-mass load placed on the surface.
Abstract
A method is given for the determination of the surface deformation of the earth and the perturbation in its superficial gravity field caused by an idealized unit point-mass load placed on the surface. By use of this Green's function the response of an accepted earth model to any superficial mass layer such as the variable ocean tide can readily be calculated. The theory is presented in this paper. Numerical results will be given in a later publication.

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Citations
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Journal ArticleDOI

Deformation of the Earth by surface loads

TL;DR: In this article, the static deformation of an elastic half-space by surface pressure is reviewed and a brief mention is made of methods for solving the problem when the medium is plane-strategized, but the major emphasis is on the solution for spherical, radially stratified, gravitating earth models.
Journal ArticleDOI

The impulse response of a Maxwell Earth

TL;DR: In this paper, an extended form of the correspondence principle is employed to determine directly the quasi-static deformation of viscoelastic earth models by mass loads applied to the surface.
Journal ArticleDOI

Glacial-Isostatic Adjustment—I. The Forward Problem

TL;DR: In this paper, the isostatic adjustment of a radially stratified visco-elastic spheroid is treated using space-time Green functions for the associated surface mass load boundary value problem.
Journal ArticleDOI

Body tides on an elliptical, rotating, elastic and oceanless earth

TL;DR: In this article, the effects of the Earth's rotation and elliptical stratification on the body tide for a number of modern elastic structural models were investigated and an improved estimate for the fluid core resonance in the diurnal tidal band was obtained.
Journal ArticleDOI

The Effects of Solid Earth Deformation on Global Ocean Tides

TL;DR: In this article, the Laplace's Tidal Equations (LTE) are modified to allow for the yielding of the solid Earth to tide generating forces and to the weight of the oceanic tidal column as well as for oceanic gravitational self-attraction.
References
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Journal ArticleDOI

Oscillations of the Earth

TL;DR: In this paper, a study of the free and forced oscillations of the earth is made, and the natural periods for radial, torsional and spheroidal types of oscillation are determined for all models except the homogeneous one, for which this period is only 44$\cdot $3 min.
Journal ArticleDOI

Deformation of an Earth model by surface pressures

TL;DR: The surface displacements of a spherical earth model consisting of a homogeneous elastic shell enclosing a fluid core are considered, when the surface stress consists of a uniform pressure over equal antipodal circular caps and is zero elsewhere.