Articles | Volume 9, issue 4
Research article
22 Aug 2018
Research article |  | 22 Aug 2018

Bimodal or quadrimodal? Statistical tests for the shape of fault patterns

David Healy and Peter Jupp

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Cited articles

Aydin, A. and Reches, Z. E.: Number and orientation of fault sets in the field and in experiments, Geology, 10, 107–112, 1982.
Blenkinsop, T. G.: Relationships between faults, extension fractures and veins, and stress, J. Struct. Geol., 30, 622–632, 2008.
Davatzes, N. C., Aydin, A., and Eichhubl, P.: Overprinting faulting mechanisms during the development of multiple fault sets in sandstone, Chimney Rock fault array, Utah, USA, Tectonophysics, 363, 1–18, 2003.
Ekström, G., Nettles, M., and Dziewoński, A. M.: The global CMT project 2004–2010: Centroid-moment tensors for 13 017 earthquakes, Phys. Earth Planet. Int., 200, 1–9, 2012.
Fisher, N. I., Lewis, T., and Embleton, B. J.: Statistical analysis of spherical data, Cambridge University Press, 1987.
Short summary
Fault patterns formed in response to a single tectonic event often display significant variation in their orientations. This variation could be noise on underlying conjugate (or bimodal) fault patterns or it could be intrinsic signal from an underlying polymodal (e.g. quadrimodal) pattern. We present new statistical tests and open source R code to calculate the probability of a fault pattern having two (bimodal, or conjugate) or four (quadrimodal) clusters based on their orientations.