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Wiley InterScience | |||
  Geophysical Journal InternationalVolume 106 Issue 3, Pages 709 - 716 Published Online: 2 Apr 2007 Journal compilation © 2010 RAS Published on behalf of the Royal Astronomical Society
Abstract | References | Full Text: PDF (Size: 592K) | Related Articles | Citation Tracking  3-D rotation of double-couple earthquake sources Copyright 1991 Royal Astronomical Society KEYWORDS double-couple • earthquake source rotation • normalized quaternions ABSTRACTWe discuss 3-D rotations by which one double-couple earthquake source can be rotated into another arbitrary double-couple. Due to the symmetry of double-couple sources, there are four such rotations. An algorithm is obtained in analytical form which is also available as a computer program solving the inverse problem of 3-D rotation of double-couple earthquake sources, i.e., for each pair of focal mechanisms or seismic moment tensor solutions the program finds all four rotations which rotate one mechanism into another. This algorithm may be used in a wide variety of studies of stress field causing earthquakes, investigations of the relationship between the focal mechanisms and the tectonic features of a seismogenic region, etc. The same inversion algorithm can be used to study the 3-D rotation of any symmetric second-rank tensor, such as the stress or strain tensor. Accepted 1991 March 22. Recieved 1991 February 19; in original form 1990 June 20 | 
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