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| A theoretical study of correlation between scaled energy and earthquake magnitude based on two source displacement models |
| Jeen-Hwa Wang |
| Institute of Earth Sciences, Academia Sinica, Nangang, P.O. Box 1-55, Taipei, Taiwan |
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Abstract The correlation of the scaled energy, ê = Es/ M0, versus earthquake magnitude, MS, is studied based on two models: (1) Model 1 based on the use of the time function of the average displacements, with a ω-2 source spectrum, across a fault plane; and (2) Model 2 based on the use of the time function of the average displacements, with a ω-3 source spectrum, across a fault plane. For the second model, there are two cases: (a) As τ≠T, where τ is the rise time and T the rupture time, lg(ê) /home/cenc -MS; and (b) As τ << T, lg(ê) /home/cenc -(1/2)MS. The second model leads to a negative value of ê. This means that Model 2 cannot work for studying the present problem. The results obtained from Model 1 suggest that the source model is a factor, yet not a unique one, in controlling the correlation of ê versus MS.
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Received: 28 October 2013
Published: 01 February 2014
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| Fund:Academia Sinica and the National Science Council (under Grant No. NSC101-2119-M-001-01 |
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Corresponding Authors:
Jeen-Hwa Wang
E-mail: jhwang@earth.sinica.edu.tw
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