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Joint determination of seismic velocity ratios: Theory and application to an aftershock sequence

GEOPHYSICS DIVISION DEPARTMENT OF SCIENTIFIC AND INDUSTRIAL RESEARCH, WELLINGTON, New Zealand

Abstract

Two different approaches are considered to the problem of determining seismic velocity ratios from P and S arrival data from a group of earthquakes. Each method arises naturally from a different assumption about the sources of error. If the S reading error is the predominant source of error, S versus P regression, an extension of the Wadati Plot method to pooled data, should be used. If, however, S reading errors do not dominate, a symmetric regression should be used. A natural extension of the latter method allows the determination of station-by-station variation of /ß.

The methods are illustrated with data from an aftershock sequence which occurred off the coast of northern California. The average velocity ratio is not as well determined as the station-by-station variation about the average. However, the results show that the method has some utility in the study of regional variation of seismic velocities.

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