Journal ArticleDOI
Deformation of the Earth by surface loads
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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.read more
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Journal ArticleDOI
The onset of Pleistocene glaciation in the Barents Sea: implications for glacial isostatic adjustment
TL;DR: In this article, the effect of a delayed onset of glaciation in the Barents Sea on glacial isostatic adjustment is investigated, and the model calculations solve the sea-level equation governing the total mass redistributions associated with the last glaciation cycle on a spherically symmetric, linear, Maxwell viscoelastic earth.
Implications of Transient Deformation in the Northern Basin and Range, Western United States
TL;DR: In this paper, a combination of hyperbolic tangent function analysis and elastic load deformation estimated from climatological data is used to identify two transient events, ~2000.4 and ~2004.4, with roughly similar timing and displacement to those described previously by other researchers.
Book ChapterDOI
Improved determination of the atmospheric attraction with 3D air density data and its reduction on ground gravity measurements
TL;DR: The ground gravity measurements based on a test mass (relative and absolute gravimeters) are influenced by mass redistribution within the atmosphere which induces gravity variations (atmospheric pressure effect) in µgal range (about 15 µgal for the Sutherland superconducting gravimeter (SG) station) as discussed by the authors.
Journal ArticleDOI
A numerical method for reorientation of rotating tidally deformed viscoelastic bodies
TL;DR: In this paper, a numerical procedure is proposed to determine the large angle reorientation of a visco-elastic celestial body that can be both centrifugally and tidally deformed.
References
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Book
A treatise on the theory of Bessel functions
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
George E. Backus,Freeman Gilbert +1 more
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.