Geomorphology could record long-term accumulation of tectonic movement and quantify it by relevant parameters.But because the influences of other factors such as climate and lithology,how to use the relevant parameters to reveal the relationship between geomorphology and tectonics is a research hot spot.In this paper,we utilize the variogram method and the cellular fractal model to estimate parameters such as the fractal dimension (D) and ordinate intercept (γ) from the SRTM3 DEM using a moving window operation.We compare the distribution characteristics of the parameters in different climate and lithology.The results indicate that the correlation between the parameters and lithology or climate is very poor.The fractal dimension (D) reveals a very good correlation with tectonics,which is low in tectonically inactive areas and high in active areas.It implies that fractal dimension (D) may be a new method for research of regional tectonic movement.
The quantitative analysis of morphologic characteristics of bedrock fault surface is a useful approach to study faulting history and identify paleo-earthquake. It is an effective complement to trenching technique, especially to identify paleo-earthquakes in a bedrock area where the trenching technique cannot be applied. In this paper, we calculate the 2D fractal dimension of three bedrock fault surfaces on Huoshan piedmont fault in Shanxi graben, China using the isotropic empirical variogram. Taking average fractal dimensions of every horizontal tape and plotting them along the vertical axis, we find the fractal dimension presents pronounced segmentation in vertical direction. This step change of the average fractal dimensions demonstrates obvious segmentation of the fault surface morphology. Then, the segmentation of fault surface morphology, showing different exposure duration of each segment, is caused by periodic faulting earthquake, but not continuous erosion. Therefore, taking best normal fitting of average fractal dimensions of each segment as a characteristic value to describe the surface morphology of the fault surface segment, the characteristic value can be used to estimate the exposure duration of the fault surface segment and then the occurrence time of the faulting earthquake that made the segment exposed. The width of each fault surface segment can also be regarded as an approximate vertical coseismic displacement. Based on the segmentation of quantitative morphology of the three fault surfaces on the Huoshan piedmont fault, we identify three faulting earthquake events. Combined with trenching results reported by previous researches, we attempt to fit an empirical relationship between the exposure time and the morphological characteristic value on the fault. The co-seismic vertical displacement of a characteristic earthquake on the Huoshan piedmont fault is estimated to be 3.5m(3~4m), the average width of all middle fault surface segments. Moreover, the small gap of average 0.5~1m width between two adjacent segments, where fractal value increases gradually with the increased fault surface height, is inferred to be caused by erosion between two faulting earthquakes.
When a reach of a stream is steepened with respect to the adjoining reach,it defines a topographic knickpoint.A knickpoint is supposed to be a response to the base-level changes,and the base-level of a drainage basin is influenced by the fault movement.The formation of a knickpoint on a gully long-profile,whose base-level is the footslope of the fault scarp,is associated very closely with the vertical movement of a fault,therefore,the ages of paleo-earthquake events can be estimated by the knickpoint series along the longitudinal profile of a gully.We have made a case study of the Huoshan Mts.Piedmont Fault,and extracted tens of gullies across the fault based on the high-resolution DEM data and identified out knickpoints in 23 gullies.There are 5 gullies with only one knickpoint which are laid on the fault.And there are two gullies having two knickpoints with the latest one laid on the fault.The positions of these knickpoints and their higher height ranging from 4~9m imply that there are several knickpoints superposed together and the knickpoints have not migrated upstream.The other 16 gullies respectively have 2~3 knickpoints.The latest knickpoints have been migrated upstream to a distance of 40~70m from the fault.The knickpoints of intermediate ages are at a distance of 150~150m upstream from the fault and the oldest ones at a distance of 300~500m.Under the conditions that the latest knickpoints are associated with the 1303 MW8.0 Hongdong earthquake(Event Ⅲ)and that the gullies keep the same rate of headward erosion during the Holocene,Event Ⅱ is estimated to take place during 3336~2269a B.P. and Event Ⅰ is estimated to take place during 3336~2269a B.P. , respectively.The recurrence of events is about 1500~2600a.These results are consistent with those obtained through the trench investigations.