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Volumetric strain in relation to particle displacements for body and surface waves in a general viscoelastic half-space

Geophysical Journal

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DOI: 10.1111/j.1365-246X.1988.tb01997.x

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Abstract

Dilatational earth strain, associated with the radiation fields for several hundred local, regional, and teleseismic earthquakes, has been recorded over an extended bandwidth and dynamic range at four borehole sites near the San Andreas fault, CA. The general theory of linear viscoelasticity is applied to account for anelasticity of the near-surface materials and to provide a mathematical basis for interpretation of seismic radiation fields as detected simultaneously by co-located volumetric strain meters and seismometers. The general theory is applied to describe volumetric strain and displacement for general (homogeneous or inhomogeneous) P and S waves in an anelastic whole space. Solutions to the free-surface reflection problems for incident general P and S-I waves are used to evaluate the effect of the free surface on observations from co-located sensors. Corresponding expressions are derived for a Rayleigh-type surface wave on a linear viscoelastic half-space. The theory predicts a number of anelastic wave field characteristics that can be inferred from observation of volumetric strains and displacement fields as detected by co-located sensors that cannot be inferred from either sensor alone. -from Author

Additional Publication Details

Publication type:
Article
Publication Subtype:
Journal Article
Title:
Volumetric strain in relation to particle displacements for body and surface waves in a general viscoelastic half-space
Series title:
Geophysical Journal
DOI:
10.1111/j.1365-246X.1988.tb01997.x
Volume
93
Issue:
2
Year Published:
1988
Language:
English
Publisher:
Wiley
Larger Work Type:
Article
Larger Work Subtype:
Journal Article
Larger Work Title:
Geophysical Journal
First page:
215
Last page:
228
Number of Pages:
14