Journal ArticleDOI
The impulse response of a Maxwell Earth
TLDR
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.Abstract:
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. The stress-strain relation employed is that appropriate to a Maxwell medium. Most emphasis is placed on the discussion of spherically stratified self-gravitating earth models, although some consideration is given to the uniform elastic half space and to the uniform viscous sphere, since they determine certain limiting behaviors that are useful for interpretation and proper normalization of the general problem. Laplace transform domain solutions are obtained in the form of ‘s spectra’ of a set of viscoelastic Love numbers. These Love numbers are defined in analogy with the equivalent elastic problem. An efficient technique is described for the inversion of these s spectra, and this technique is employed to produce sets of time dependent Love numbers for a series of illustrative earth models. These sets of time dependent Love numbers are combined to produce Green functions for the surface mass load boundary value problem. Through these impulse response functions, which are obtained for radial displacement, gravity anomaly, and tilt, a brief discussion is given of the approach to isostatic equilibrium. The response of the earth to an arbitrary quasi-static surface loading may be determined by evaluating a space-time convolution integral over the loaded region using these response functions.read more
Citations
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Space geodesy constrains ice age terminal deglaciation: The global ICE‐6G_C (VM5a) model
TL;DR: In this paper, a new model of the last deglaciation event of the Late Quaternary ice age is described and denoted as ICE-6G_C (VM5a), which has been explicitly refined by applying all of the available Global Positioning System (GPS) measurements of vertical motion of the crust that may be brought to bear to constrain the thickness of local ice cover as well as the timing of its removal.
Journal ArticleDOI
Global glacial ice volume and Last Glacial Maximum duration from an extended Barbados sea level record
TL;DR: This article employed an extended set of observations of the pre-glacial and postglacial history of sea-level rise at the island of Barbados, together with a refined model of continental deglaciation and an accurate methodology for the prediction of post glacial sea level change.
Journal ArticleDOI
On Postglacial Sea Level
W. E. Farrell,J. A. Clark +1 more
TL;DR: In this article, an exact method is presented for calculating the changes in sea level that occur when ice and water masses are rearranged on the surface of elastic and viscoelastic non-rotating Earth models.
Journal ArticleDOI
Ice‐3G: A new global model of Late Pleistocene deglaciation based upon geophysical predictions of post‐glacial relative sea level change
A. M. Tushingham,W. R. Peltier +1 more
TL;DR: In this article, a new high resolution global model of late Pleistocene deglaciation is inferred on the basis of geophysical predictions of postglacial relative sea level variations in which the ice-ocean-solid Earth interaction is treated in a gravitationally self-consistent fashion.
Journal ArticleDOI
Global changes in postglacial sea level: A numerical calculation☆
TL;DR: The sea level rise due to ice-sheet melting since the last glacial maximum was not uniform everywhere because of the deformation of the Earth's surface and its geoid by changing ice and water loads.
References
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Journal ArticleDOI
Diffusional Viscosity of a Polycrystalline Solid
TL;DR: In this article, it is suggested that mosaic boundaries and boundaries between grains of nearly the same orientation may not serve as sources or sinks of the diffusion currents, in which case the creep rate will depend only on the configuration of grain boundaries having a sizable orientation differen...
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 Resolving Power of Gross Earth Data
George E. Backus,Freeman Gilbert +1 more
TL;DR: In this article, the authors show how to determine whether a given finite set of gross Earth data can be used to specify an Earth structure uniquely except for fine-scale detail, and the shortest length scale which the given data can resolve at any particular depth.