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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Three-dimensional numerical modeling of detachment of subducted lithosphere
Shoichi Yoshioka,M. J. R. Wortel +1 more
TL;DR: In this article, the authors investigated spatio-temporal variations in the state of stress within the slab, as a function of tear length, rheology, and a variety of force distribution.
Journal ArticleDOI
Future sea-level changes due to West Antarctic ice sheet fluctuations
J. A. Clark,C. S. Lingle +1 more
TL;DR: In this article, global sea-level changes which would result from an instantaneous uniform thinning of the possibly unstable West Antarctic ice sheet are calculated and found to be nonuniform.
Journal ArticleDOI
Postglacial sea-level change on a rotating earth : first results from a gravitationally self-consistent sea-level equation
TL;DR: In this article, a gravitationally self-consistent sea-level equation is proposed to model postglacial sea level variations on a spherically symmetric, self-gravitating, viscoelastic and rotating Earth.
Journal ArticleDOI
Rheological stratification of the lithosphere : A direct inference based upon the geodetically observed pattern of the glacial isostatic adjustment of the North American continent
W. R. Peltier,Rosemarie Drummond +1 more
TL;DR: In this article, it was shown that the ICE-5G model's inability to reconcile the VLBI and GPS measured rates of vertical and horizontal motion in the region of the North American continent that lay outboard and to the south of the Laurentide Ice-Sheet (LIS) at Last Glacial Maximum is entirely and unambiguously attributable to the rheological stratification of the lithosphere.
Journal ArticleDOI
Modeling stresses on satellites due to nonsynchronous rotation and orbital eccentricity using gravitational potential theory
John Wahr,Zane A. Selvans,M. E. Mullen,Amy C. Barr,Geoffrey C. Collins,M. M. Selvans,Robert T. Pappalardo +6 more
TL;DR: In this paper, the authors derived the surface stresses at the surface of a satellite from the gravitational potential of the satellite's parent planet, assuming that the satellite is fully differentiated into a silicate core, a global subsurface ocean, and a decoupled, viscoelastic lithospheric shell.
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.