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Open AccessJournal ArticleDOI

Elastic Dislocations in a Layered Half‐Space–II The Point Source

TLDR
In this article, the static displacement and strain fields caused by the introduction of a shear dislocation point source into a layered elastic half space have been evaluated using a Thomson-Haskell matrix method (Singh).
Abstract
Summary The static displacement and strain fields caused by the introduction of a shear dislocation point source into a layered elastic half space have been evaluated using a Thomson-Haskell matrix method (Singh). The point source was found to be an adequate representation of a fault at distances greater than four fault lengths. Gross earth structure (oceanic, shield and tectonic models) cause fields that differ little from those of a uniform half space. However, significant departures from the uniform half-space fields are found to be caused by low rigidity layers, both at the surface (representing sediment cover) and at depth (representing possible zones of partial melt). Both of these features cause complexities in the strain fields that depend on the source orientation and source-receiver distance, and these may result in amplification or attenuation of the uniform halfspace fields by factors of up to 10.

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Surface deformation due to shear and tensile faults in a half-space

TL;DR: In this paper, a suite of closed analytical expressions for the surface displacements, strains, and tilts due to inclined shear and tensile faults in a half-space for both point and finite rectangular sources are presented.
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Erratum to: Computation of deformation induced by earthquakes in a multi-layered elastic crust-FORTRAN programs EDGRN/EDCMP

TL;DR: Methods to determine the permanent and transient deformation induced by earthquakes or similar sources, including an optional link to Okada's analytical solutions in the special case of a homogeneous half-space are introduced.
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Coseismic Deformation From Earthquake Faulting On A Layered Spherical Earth

TL;DR: In this paper, a method for calculating the static displacement field following earthquake faulting in a layered spherical earth is presented at shallow levels, the Earth's layering is characterized by sharp jumps in bulk and shear moduli at the Conrad discontinuity and the Moho and is therefore important to consider when evaluating crustal deformation.
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Viscoelastic crustal deformation by finite quasi‐static sources

TL;DR: In this article, a method for exact calculation of Green functions for finite quasi-static sources in an elastic layer over a linear viscoelastic half space is presented, and the growth of the error in an approximate Green function for a strike slip source is evaluated.
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Green’s functions for geophysics: a review

TL;DR: This article provides a relatively complete review on GFs for geophysics, which can be scaled and applied to large- scale problems such as those involved in Earth sciences as well as to nano-scale problems associated with quantum nanostructures.
References
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Journal ArticleDOI

Tectonic stress and the spectra of seismic shear waves from earthquakes

TL;DR: In this paper, an earthquake model is derived by considering the effective stress available to accelerate the sides of the fault, and the model describes near and far-field displacement-time functions and spectra and includes the effect of fractional stress drop.
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Scaling law of seismic spectrum

TL;DR: In this paper, the authors investigated the dependence of the amplitude spectrum of seismic waves on source size by fitting an exponentially decaying function to the autocorrelation function of the dislocation velocity and found that the most convenient parameter for their purpose is the magnitude Ms, defined for surface waves with period of 20 sec.
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The deformation of the ground around surface faults

TL;DR: In this article, a rectangular dislocation surface (i.e., a surface across which there is a discontinuity in the displacement vector) is used as a model of a vertical transcurrent fault and the results of Steketee (1958a) are employed to derive, in analytical form, the displacement field throughout a semi-infinite elastic medium due to such a dislocation.
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Deep earthquake zones, anomalous structures in the upper mantle, and the lithosphere

TL;DR: In this paper, regional seismic data for deep and shallow earthquakes associated with the Tonga-Kermadec arc show that there exists in the mantle an anomalous zone whose thickness is of the order of 100 km and whose upper surface is approximately defined by the highly active seismic zone that dips to the west beneath the island arc.
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The use of body-wave spectra in the determination of seismic-source parameters

TL;DR: In this article, Teleseismic determinations of body-wave (P, S ) spectra, interpreted in terms of the Brune (1970) seismic-source model, are used to estimate the parameters seismic moment (Mto ) and source dimension (r ) for three large, shallow, strike-slip earthquakes occurring on nearly vertical fault planes and for which the same parameters can be determined from field (F ) data.