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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Journal ArticleDOI
The LAGEOS constraint on deep mantle viscosity: Results from a new normal mode method for the inversion of viscoelastic relaxation spectra
TL;DR: In this paper, it was shown that the nontidal acceleration of rotation inferred from the LAGEOS data, and predicted as a consequence of the earth's response to the last deglaciation event of the current ice age, is relatively insensitive both to variations of lithospheric thickness and to the presence or absence of plausible chemical heterogeneity across the 670-km interface.
Journal ArticleDOI
A model of Greenland ice sheet deglaciation constrained by observations of relative sea level and ice extent
Benoit S. Lecavalier,Glenn A. Milne,Matthew J. R. Simpson,Leanne Wake,Philippe Huybrechts,Lev Tarasov,Kristian K. Kjeldsen,Svend Funder,Antony J. Long,Sarah A. Woodroffe,Arthur S. Dyke,Arthur S. Dyke,Nicolaj K. Larsen +12 more
TL;DR: In this paper, an ice sheet model was constrained to reconstruct the evolution of the Greenland Ice Sheet (GrIS) from the Last Glacial Maximum (LGM) to present to improve our understanding of its response to climate change.
Journal ArticleDOI
A review of postglacial emergence on Svalbard, Franz Josef Land and Novaya Zemlya, northern Eurasia
Steven L. Forman,David J Lubinski,Ólafur Ingólfsson,JaapJan Zeeberg,Jeffrey A. Snyder,Martin J. Siegert,Gennady G Matishov +6 more
TL;DR: In this paper, a review unites records of Holocene relative sea level from Svalbard, Franz Josef Land, and Novaya Zemlya to better understand the geometries of past ice sheet loads.
Dissertation
Using sea-level and land motion data to develop an improved glacial isostatic adjustment model for the British Isles
TL;DR: In this article, the authors used a combination of relative sea level data from both near and far-field sites, Continuous GPS data and the most recent geomorphological field constraints.
Journal ArticleDOI
Catastrophic caldera-forming eruptions: Thermomechanics and implications for eruption triggering and maximum caldera dimensions on Earth
TL;DR: In this paper, the authors used temperature-dependent, viscoelastic numerical models that incorporate a Mohr-Coulomb failure criterion to find that eruptive failure of the largest magma chambers is a function of the geometry of the overlying roof and the location of the brittle-ductile transition.
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.