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Closed‐Form Expressions of Seismic Deformation in a Homogeneous Maxwell Earth Model
Author(s) -
Tang He,
Sun Wenke
Publication year - 2018
Publication title -
journal of geophysical research: solid earth
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.983
H-Index - 232
eISSN - 2169-9356
pISSN - 2169-9313
DOI - 10.1029/2018jb015594
Subject(s) - viscoelasticity , dislocation , deformation (meteorology) , rheology , green s , homogeneous , geology , displacement (psychology) , mathematical analysis , classical mechanics , physics , geometry , mathematics , statistical physics , thermodynamics , oceanography , psychology , condensed matter physics , psychotherapist
Earthquake activities involve coseismic and postseismic deformations, and these seismic deformations can be computed using corresponding dislocation theories. However, conventional dislocation theories are usually given using numerical dislocation Love numbers and numerical Green's functions. In this study, we present explicit expressions of the time‐dependent dislocation Love numbers for a point source in a homogeneous viscoelastic (Maxwell rheology) spherical Earth model and the displacement Green's functions. Other surface variables, such as tilt and strain, can be obtained in a similar manner. The analytical Green's functions are derived from the degenerate deformation system without considering self‐gravitation. The Green's functions can be applied to efficiently compute viscoelastic seismic and volcanic deformations in an approximate manner.