Fault Traces: Generation of Fault Segments and Estimation of Their Fractal Dimension
KAUST DepartmentEarth Science and Engineering Program
Physical Science and Engineering (PSE) Division
Ali I. Al-Naimi Petroleum Engineering Research Center (ANPERC)
Energy Resources and Petroleum Engineering Program
Permanent link to this recordhttp://hdl.handle.net/10754/670806
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AbstractFault damage zones have a higher upscaled permeability than the host rock because of a higher fracture intensity therein. Fracture distribution in the damage zone depends highly on the geometry of fault segments. However, precise images of architectural elements of large-scale faults at depth are difficult to obtain by seismic acquisition and imaging techniques. We present a numerical method that generates fault segments at multiple scales from an imprecise fault trace based on the fractal properties of these segments. The generated fault segments demonstrate hierarchical self-similar architecture, and their lengths follow approximately a lognormal distribution. These characteristics are similar to real fault segments observed in outcrops and seismic surveys. An algorithm that covers fault segments accurately with the minimum number of circles is proposed to calculate the fractal dimensions for both natural and computer-generated faults. The fractal dimensions of natural and generated fault segments are similar and range between 1.2 and 1.4.
CitationZhu, W., Yalcin, B., Khirevich, S., & Patzek, T. W. (2021). Fault Traces: Generation of Fault Segments and Estimation of Their Fractal Dimension. Lithosphere, 2021(Special 4). doi:10.2113/2021/4991604
SponsorsThis project was supported by the baseline research funding from KAUST to Prof. Tad W. Patzek. The authors would like to thank all editors and anonymous reviewers for their comments and suggestions.
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