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Scaling between Fault Length and Fault Damage Zone Width

As slip on a fault progressively accumulates and the fault grows in lateral extent, the thickness of the fault damage zone also expands. Very roughly, Vermilye and Scholz (1998) showed that the width of damage zones is a little larger than a hundredth of the fault length (Figure 1).

Width of fault damage zone versus fault length. From Vermilye and Scholz (1998).Figure 1. Width of fault damage zone versus fault length. From Vermilye and Scholz (1998).

In a similar fashion, Myers and Thompson (1998) showed scaling statistics from sheared joint-based faults in sandstone between the damage zone width and fault slip (Figure 2). Myers and Thompson were further able to show that different scaling statistics resulted from different geometric configurations of pre-existing weaknesses from which the faults evolved.

Damage zone width - fault slip relationship for en echelon and sub-parallel faults in sandstone. Scatter in this data set is reduced by keeping data collected from the two different end-member configurations separate. From Myers and Thompson (1998).Figure 2. Damage zone width - fault slip relationship for en echelon and sub-parallel faults in sandstone. Scatter in this data set is reduced by keeping data collected from the two different end-member configurations separate. From Myers and Thompson (1998).

The width of the damage zone can also be estimated from the length of the maximum splays and the kink angles. Refer to the sections in Related Concepts for detail.

It should be kept in mind that fault damage zone width varies significantly as noted under 'Thickness Distribution of Damage Zone.' The details of this variation can be found in de Joussineau and Aydin (2007) for a well-studied case.

Reference:

de Joussineau, G., Aydin, A., 2007. The evolution of the damage zone with fault growth in sandstone and its multiscale characteristics. Journal of Geophysical Research 112: B12401, doi:10.1029/2006jb004711.

Gillespie, P.A., Walsh, J.J., Watterson, J., 1992. Limitations of dimension and displacement data from single faults and the consequences for data-analysis and interpretation. JOURNAL OF STRUCTURAL GEOLOGY 14 (10): 1157-1172.

Myers, R., Thompson, L.B., 1998. Fracture clustering associated with faults formed from joint zones in sandstone. Stanford Digital Repository. Available at: http://purl.stanford.edu/zk915qm4858.

Vermilye, J., Scholz, C.H., 1998. The process zone: a microstructural view of fault growth. Journal of Geophysical Research - Solid Earth 103 (B6): 12223 - 12237.



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