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TitleAnalytical calculation of the fault-plane problem
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AuthorKnopoff, L
SourceA symposium on earthquake mechanism; by Hodgson, J H (ed.); Publications of the Dominion Observatory vol. 24, no. 10, 1961 p. 309-315, (Open Access)
PublisherCanada Department of Mines and Technical Surveys
MeetingInternational Union of Geodesy and Geophysics, Association of Seismology and Physics of the Earth's Interior, Twelfth General Assembly; Helsinki; FI; 1960
Mediapaper; on-line; digital
RelatedThis publication is contained in Hodgson, J H; (1961). A symposium on earthquake mechanism, Publications of the Dominion Observatory vol. 24 no. 10
File formatpdf
Subjectsgeophysics; tectonics; seismology; earthquakes; earthquake mechanisms; crustal movements; faulting
Illustrationsschematic representations; graphs; tables
Released1961 01 01; 2018 11 19
AbstractMachine calculation of the solution to the fault-plane problem is possible, if an analytical formulation of the problem can be made. An analytical formulation is made in terms of the probability that a station report the correct sign of first motion in the presence of disturbing influences such as background noise. The location of the orthogonal planes depends upon the maximization of a certain probability function. The probability function is simplified if it is assumed that the ground motion noise level is constant at ail stations. The maximization is then made with respect to four variables: the three independent angular variables describing the orientation of the two orthogonal planes and the noise. An example of the machine calculation of the maximization is given for the Alaska earthquake of July 10, 1958; the machine solution is compared with the solution obtained by visual means.