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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Rotational bulge and one plume convection pattern: Influence on Martian true polar wander
TL;DR: In this article, the authors investigate the stabilizing influence of the residual rotational bulge due to the lithosphere elasticity on these perturbations and conclude that one plume convection pattern should have greatly influenced the rotation pole behavior during early Mars history: around 4 Gyr ago, Mars already could have experienced two TPW events lasting possibly only a few million years each.
Journal ArticleDOI
Modelling of the GIA-induced surface gravity change over Fennoscandia
TL;DR: In this article, the authors deal with the modeling of surface gravity change in Fennoscandia, induced by postglacial rebound or Glacial Isostatic Adjustment (GIA).
Dissertation
Seasonal deformation of the Earth induced by variations in hydrology : impact on seismicity
TL;DR: In this article, seasonal ground displacements measured by continuous stations of the Global Positioning System (cGPS) and the estimate of the spatio-temporal evolution of surface hydrology derived from the Gravity and Recovery Climate Experiment (GRACE) measurements are used to model accurately seasonal deformation of Earth induced by redistribution of hydrosphere masses.
Journal ArticleDOI
Tidal constraints on the low-viscosity zone of the Moon
TL;DR: In this article, the effect on the low-viscosity zone in the deep interior of the Moon is investigated based on hypothetical temperature profiles and the tidal parameters are computed numerically.
Journal ArticleDOI
The rotational stability of a convecting earth: Assessing inferences of rapid TPW in the late cretaceous
TL;DR: In this paper, a linearized rotational stability theory for predicting the time dependence of true polar wander (TPW) on a Maxwell viscoelastic body in response to mantle convective loading is presented.
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.