Figure 2
Recurrence time-seismic moment scaling relation. (a) Double-logarithmic scatter plot of measured intra-asperity recurrence time versus event seismic moment for summer (red) and winter (blue) events. Orange line indicates the \(1\sigma\) area of a power law fit. Along gray diagonal lines, recurrence times and seismic moment change while seismic moment rate is constant \(\mathop { M_{0} }\limits^{ \cdot } = M_{0} /T_{r} = const.\)→ \( log\left( {T_{r} } \right) = log\left( {M_{0} } \right) - \log \left( {\mathop {M_{0} }\limits^{ \cdot } } \right) + log\left( {86400} \right)\). Plotted moment rates follow a logarithmic scale increasing towards the lower right and selected values are labeled. (b) Same as a, but with simulated data points. Green and red paths describe a threefold increase in effective normal stress and 1.6-fold increase in loading velocity that is needed to describe recurrence time and seismic moment increases from winter to summer. (c) Double-logarithmic scatter plot showing the parameters that were adjusted to reproduce the data in a. The x-axis shows the ratio of effective normal stress in summer vs. winter, the y-axis shows the ratio of the loading velocity in summer vs. winter. Histograms show the one-dimensional distribution of the scatter points. Orange dashed lines indicate \(1\sigma\) and \(2\sigma\) uncertainty regions.
