Abstract
A relation between surface-wave magnitude M s and fault area S for great earthquakes has been proposed log S ⋍ 2M s − 11.5 ( M s > 7.5) A similar formula has been also derived for body-wave magnitude m b ∗ redetermined from maximum amplitudes of short-period P-wavetrains log S ∝ 1.7 m b ∗ These are quite different from a theoretical relation expected on the basis of long-wave approximation. Because wavelengths of seismic waves used for the above magnitudes are very short compared to the size of earthquake sources, these relations represent the short-period nature of the earthquake process. The statistical theory of extreme values has been applied to understand the relations considering that the component waves which constitute the wavetrains for m b ∗ and M s determinations originate from the random fracture of fault heterogeneities.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
