Rock Fracture
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Fault Segment Length Distribution

Since faults in the brittle regime grow in length through linking with adjacent faults by splay fractures, large faults are almost always broken into segments. For a given total fault length, the length of segments may follow a log-normal distribution (see 'Fault Segment Length Distribution'). The mean segment length is proportional to the total length of the fault.

de Joussineau and Aydin (2009) investigated the length of fault segments on several strike-slip faults with varying slip in Aztec sandstone at Valley of Fire State Park, Nevada. They show that the segment length of a fault may follow a log normal distribution, with the highest frequency segment length roughly equal to the maximum slip (Figure 1). More than 70% of segment lengths are less than four times the maximum slip.

Distribution of fault segment length. By de Joussineau, et al. (2009).Figure 1. Distribution of fault segment length. By de Joussineau, et al. (2009).

The authors also suggested a power law relationship between the maximum fault slip and the mean fault segment length (Figure 2) from the data collected at Valley of Fire Park, NV, as well as other data reported by various authors (Stirling et al., 1996; Otsuki and Dilov, 2005). Since fault length is one order of magnitude larger than the maximum slip, this figure indicates that the mean segment length is roughly 0.1 of the fault length.

Mean Segment Length plotted against total offset. By de Joussineau et al. (2009).Figure 2. Mean Segment Length plotted against total offset. By de Joussineau et al. (2009).
Reference:

de Joussineau, G., Aydin, A., 2009. Segmentation of strike-slip faults revisited. Pure and Applied Geophysics 166 (10): 1575-1594.

Otsuki, K., Dilov, T., 2005. Evolution of self-similar geometry of experimental fault zones; implications for seismic nucleation and earthquake size. Journal of Geophysical Research 110: B03303, doi:10.1029/2004JB003359.

Stirling, M.W., Wesnousky, S.G., Shimazaki, K., 1996. Fault trace complexity, cumulative slip, and the shape of the magnitude-frequency distribution for strike-slip faults: A global survey. Geophys. J. Internat. 124: 833–868.



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