Journal ArticleDOI
Deformation of the Earth by surface loads
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TLDR
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.Abstract:
The static deformation of an elastic half-space by surface pressure is reviewed. A brief mention is made of methods for solving the problem when the medium is plane stratified, but the major emphasis is on the solution for spherical, radially stratified, gravitating earth models. Love-number calculations are outlined, and from the Love numbers, Green's functions are formed for the surface mass-load boundary-value problem. Tables of mass-load Green's functions, computed for realistic earth models, are given, so that the displacements, tilts, accelerations, and strains at the earth's surface caused by any static load can be found by evaluating a convolution integral over the loaded region.read more
Citations
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Efficient Inverse Modeling of Barotropic Ocean Tides
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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.
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Time variability of the Earth's gravity field: Hydrological and oceanic effects and their possible detection using GRACE
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Modelling the global ocean tides: modern insights from FES2004
TL;DR: A review of the state-of-the-art in the field of finite element solutions (FES) atlases can be found in this paper, where the authors introduce the FES2004 tidal atlas and validate the model against in situ and satellite data.
References
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Journal ArticleDOI
The Theory of Nutation and the Variation of Latitude
Harold Jeffreys,R. O. Vicente +1 more
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On the Earth tide of the compressible Earth of variable density and elasticity
TL;DR: In this article, a theoretical study of the phenomena of Earth tides is presented, where the differential equations of stress and motion are established to allow solution under various hypotheses as to elasticity, compressibility, and density in the interior of the Earth, and numerical integrations are made for several Earth models with internal constitutions inferred from recent studies of seismology combined with K. E. Bullen's studies of the density distribution.
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Converting Vector and Tensor Equations to Scalar Equations in Spherical Coordinates
TL;DR: In this article, the authors derive scalar representations of the most common algebraic and differential operations on vector and second-order tensor fields, and apply the results to obtain scalar formulations of various tensor problems in the Earth's mantle.
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Isostatic adjustment in a layered Earth
TL;DR: In this article, the theory of relaxation times has been formally extended to a model composed of stratified linear viscoelastic materials, and examples of the variation of the relaxation times with wavelength for several models consisting of viscous layers, some with overlying elastic layers, are illustrated and compared with values derived from observed postglacial uplift of Fennoscandia.
Journal ArticleDOI
Static deformation of a multilayered half-space by internal sources
TL;DR: In this paper, the authors apply the method of layer matrices to solve the static deformation of a multilayered elastic half-space by buried sources, where each layer of the multilayer medium is assumed to be homogeneous and isotropic, and the interfaces are in welded contact and the point source is represented as a discontinuity in the z-dependent coefficients of the displacement and stress integrands at the source level.