I think there are numerous studies from the field of structural geology documenting and discussing the fractal dimension in natural systems, especially for the formation and growth of normal faults in extension regimes.

http://scholar.google.de/scholar?as_ylo=2009&q=rift+normal+fault+%22fractal+dimension%22

Thanks for the "Link"

IN PARTICULAR ... http://dx.doi.org/10.1016/j.tecto.2013.08.031

I work with epithermal systems ...

http://www.sciencedirect.com/science/article/pii/S0191814109002272

The paper above discuss the mechanisms of ore formation in regard to fault development under shear processes.

It's not completely related to your question, but it may help Eduardo.

Best luck!

 Eduardo

You can find some potentially useful references at these links.

I also remember R Allmendihger have devoted efforts as this regards

Cheers

http://www.geo.tu-freiberg.de/oberseminar/os03_04/ilja_kojan.pdf

https://books.google.com.ar/books?id=_KrzBwAAQBAJ&pg=PA213&lpg=PA213&dq=allmendinger+fractal+faults&source=bl&ots=CUqHLmmWnx&sig=_Kfpy4KDMg3jnVmLEpS1Sn69q8k&hl=es-419&sa=X&ved=0ahUKEwiMruTL3MvNAhVEIJAKHcy8AFIQ6AEIPDAE#v=onepage&q=allmendinger%20fractal%20faults&f=false