It is empirically proved that the statistical distribution of fracture size, such as fault length, is governed by the power rule. Nevertheless, fault length data is in most cases plotted in semi-logarithmic coordinates. This implies that the data fits an exponential distribution better than a power-rule one. We introduce here three power-rule distribution models: ie. a composite model of two power-rule distributions, and a model transformed from the truncated Gutenberg-Richter magnitude-frequency formula (TGR) and one from the modified Gutenberg-Richter formula (MGR). As a result of AIC tests we conclude that TGR and MGR models are the most suitable to fault length data.
