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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

Degree-1 Earth deformation from very long baseline interferometry measurements

TL;DR: In this paper, the presence of degree-1 deformations in very long baseline interferometry (VLBI) measurements is detected for the first time by comparing VLBI measurements with the deformation field predicted using a GPS-determined load moment.
Journal ArticleDOI

Possibility of temporal variations in earth tidal strain amplitudes associated with major earthquakes

TL;DR: In this article, two stations in the western Chubu region have been analyzed to see if there are any temporal variations of their amplitude in relation to major earthquakes in the region, and the admittances determined for the two-component Kamitakara strains appear to show a consistent and gradual increase during 10-11 months prior to the central Gifu earthquake of 1969 (M=6.6), with a maximum variation reaching about 15%, and after the earthquake they seem to decrease and recover their normal value a half year later.
Dissertation

Secular changes in Earth's shape and surface mass loading

TL;DR: In this article, a suite of a priori GIA models, each with an associated set of plate tectonic Euler vectors estimated by them, were removed from the GPS position data and a mass-conserving continental basis function was used to estimate surface mass loading including the secular term.
Journal ArticleDOI

A comparison of two spectral approaches for computing the Earth response to surface loads

TL;DR: In this article, the spectral properties of the Love numbers are used to eliminate Gibbs phenomena in the Green's function method and show how the load characteristics as well as the available computational resources can be determining factors in selecting one approach.
Journal ArticleDOI

Fine-scale spatiotemporal variation in subsidence across California’s San Joaquin Valley explained by groundwater demand

TL;DR: In this article, the authors established a quantitative link between local irrigation water demand and InSAR-derived vertical land surface displacements in California's San Joaquin Valley, with the goal of increasing the utility of remotely sensed displacements for understanding and managing groundwater at fine scales.
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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