When considering a seismic source operating along a discontinuity interface, seismic moment has to be redefined considering the jump of rigidity. The traditional definition of seismic moment may lead to underestimation of the slip or rupture length of an earthquake. Redefined seismic moment can be represented as M0 = μ* ΔuA, in which μ*, the effective rigidity, can be represented by the average rigidity

and the difference of rigidity across the interface Δμ via
\({\mu}^{*}={\bar{{\mu}}}{\ }\{1-({\Delta}{\mu}{/}2{\bar{{\mu}}})^{2}\}\)

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