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Journal ArticleDOI

Deformation of the Earth by surface loads

W. E. Farrell
- 01 Aug 1972 - 
- Vol. 10, Iss: 3, pp 761-797
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TLDR
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.
Abstract
The static deformation of an elastic half-space by surface pressure is reviewed. A brief mention is made of methods for solving the problem when the medium is plane stratified, but the major emphasis is on the solution for spherical, radially stratified, gravitating earth models. Love-number calculations are outlined, and from the Love numbers, Green's functions are formed for the surface mass-load boundary-value problem. Tables of mass-load Green's functions, computed for realistic earth models, are given, so that the displacements, tilts, accelerations, and strains at the earth's surface caused by any static load can be found by evaluating a convolution integral over the loaded region.

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Citations
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Journal ArticleDOI

Self-attraction and loading feedback on ocean dynamics in both shallow water equations and primitive equations

TL;DR: In this article , the effects of self-attraction and loading on the momentum equations of a barotropic global ocean tide model as well as a baroclinic general circulation model were investigated.
Journal ArticleDOI

Noise analysis for environmental loading effect on GPS time series

TL;DR: In this paper, the authors investigated the impact of environment mass loading on GPS time-series of position changes and noise characteristic and quantified the stochastic of GPS time series.
Journal ArticleDOI

The ocean tide gravimetric loading reconsidered

TL;DR: In this paper, a set of new global ocean tide models computed by different teams was made available to the scientific community and the task is now to evaluate their relative accuracy, in particular with independent data.
Journal ArticleDOI

Self-attraction and loading feedback on ocean dynamics in both shallow water equations and primitive equations

TL;DR: In this article, the effects of self-attraction and loading on the momentum equations of a barotropic global ocean tide model as well as a baroclinic general circulation model were investigated.
Journal ArticleDOI

Shallow-water loading tides in Japan from superconducting gravimetry

TL;DR: In this paper, gravity observations from superconducting gravimeters are used to observe loading effects from shallow-water tides on the Japanese east and west coasts, and the most energetic constituents in the tide gauge observations are also seen in the gravity observations due to their loading effects on the deformation of Earth.
References
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Book

A treatise on the theory of Bessel functions

G. N. Watson
TL;DR: The tabulation of Bessel functions can be found in this paper, where the authors present a comprehensive survey of the Bessel coefficients before and after 1826, as well as their extensions.
Book

The finite element method in engineering science

TL;DR: In this paper, the authors describe how people search numerous times for their favorite books like this the finite element method in engineering science, but end up in malicious downloads, and instead they cope with some infectious bugs inside their computer.
Book

The theory of spherical and ellipsoidal harmonics

TL;DR: The transformation of Laplace's equation in polar coordinates and the Legendres associated functions can be found in this article, where the authors also give approximate values of the generalized Legendres functions.
Journal ArticleDOI

Uniqueness in the Inversion of Inaccurate Gross Earth Data

TL;DR: In this article, it was shown that a given set G of measured gross Earth data permits such a construction of localized averages, and if so, how to find the shortest length scale over which G gives a local average structure at a particular depth if the variance of the error in computing that local average from G is to be less than a specified amount.
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