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Journal ArticleDOI

The impulse response of a Maxwell Earth

W. R. Peltier
- 01 Nov 1974 - 
- Vol. 12, Iss: 4, pp 649-669
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.

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Citations
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Journal ArticleDOI

GLOBAL GLACIAL ISOSTASY AND THE SURFACE OF THE ICE-AGE EARTH: The ICE-5G (VM2) Model and GRACE

TL;DR: The impact of the changing surface ice load upon both Earth's shape and gravitational field, as well as upon sea-level history, have come to be measurable using a variety of geological and geophysical techniques.
Journal ArticleDOI

Sea Level Change Through the Last Glacial Cycle

TL;DR: For example, in this paper, the authors show that the earth-response function is depth dependent as well as spatially variable, and that the migration of coastlines can be predicted during glacial cycles, including the anthropologically important period from about 60,000 to 20,000 years ago.
Journal ArticleDOI

Sea level and global ice volumes from the Last Glacial Maximum to the Holocene.

TL;DR: From ∼1,000 observations of sea level, allowing for isostatic and tectonic contributions, this work quantified the rise and fall in global ocean and ice volumes for the past 35,000 years and provides new constraints on the fluctuation of ice volume in this interval.
Journal ArticleDOI

Ice Age Paleotopography

TL;DR: The results show that LGM ice volume was approximately 35 percent lower than suggested by the CLIMAP reconstruction and the maximum heights of the main Laurentian and Fennoscandian ice complexes are inferred to have been commensurately lower with respect to sea level.
References
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Journal ArticleDOI

Elastic models of the mantle corresponding to variations in the external gravity field

TL;DR: In this article, the static earth-tide theory was modified to include interior loads expressible as spherical harmonics, and elastic moduli were assumed to be functions of radius only.
Journal ArticleDOI

Dynamics of the liquid core of the Earth

TL;DR: In this article, an asymptotic theory for the long-period bodily tides in an Earth model having a liquid core is developed, where the yielding inside the core is found to be different in the case of a stable density stratification from the cases of an unstable stratification.
Journal ArticleDOI

Experimental isostasy: 3. Inversion of the isostatic Green function and lateral density changes

TL;DR: In this paper, the Backus-Gilbert inversion technique was applied to the isostatic Green function for the continental United States, which was measured earlier and a two-level compensation mechanism was indicated at about the 80% confidence level.
Journal ArticleDOI

Statical deformations and free oscillations of a model Earth

TL;DR: In this article, the effect of self-gravitation on the free oscillation periods of the earth model has been studied and the upper limit of the rigidity of the core has been shown to be 1010 dynes/cm2.
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