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Published September 2005 | Published
Journal Article Open

The effect of slip variability on earthquake slip-length scaling

Abstract

There has been debate on whether average slip D in long ruptures should scale with rupture length L, or with rupture width W. This scaling discussion is equivalent to asking whether average stress drop Δσ, which is sometimes considered an intrinsic frictional property of a fault, is approximately constant over a wide range of earthquake sizes. In this paper, we examine slip-length scaling relations using a simplified 1-D model of spatially heterogeneous slip. The spatially heterogeneous slip is characterized by a stochastic function with a Fourier spectrum that decays as k^(−α), where k is the wavenumber and α is a parameter that describes the spatial smoothness of slip. We adopt the simple rule that an individual earthquake rupture consists of only one spatially continuous segment of slip (i.e. earthquakes are not generally separable into multiple disconnected segments of slip). In this model, the slip-length scaling relation is intimately related to the spatial heterogeneity of the slip; linear scaling of average slip with rupture length only occurs when α is about 1.5, which is a relatively smooth spatial distribution of slip. We investigate suites of simulated ruptures with different smoothness, and we show that faults with large slip heterogeneity tend to have higher D/L ratios than those with spatially smooth slip. The model also predicts that rougher faults tend to generate larger numbers of small earthquakes, whereas smooth faults may have a uniform size distribution of earthquakes. This simple 1-D fault model suggests that some aspects of stress drop scaling are a consequence of whatever is responsible for the spatial heterogeneity of slip in earthquakes.

Additional Information

© 2005 RAS. Accepted 2005 May 9. Received 2004 November 26; in original form 2004 January 7. We thank Jon Pelletier for providing the code to generate synthetic self-affine series. We thank Hiroo Kanamori, Anupama Venkataraman, Edwin Schauble, Yann Klinger and Lingsen Zeng for suggestions on earlier versions of the manuscript. Reviews from D. Lavallee and an anonymous reviewer were helpful in improving the manuscript. This research was supported by the Southern California Earthquake Center. SCEC is funded by NSF cooperative agreement EAR-8920136 and USGS cooperative agreements 14-08-0001-A0899 and 1434-HQ-97AG01718. The SCEC contribution number for this paper is 686.

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