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                                            E. Tondi et al. / Journal of Structural Geology 37 (2012) 53e64     63
         length, thickness, displacement) that characterize the individual  Antonellini, A., Tondi, E., Ago sta, F., Aydin, A., Cello, G., 2008. Failure modes in basin
                                                                  carbonates and their impact on fault development, Majella Mountain, central
         tectonic structures (single bands, zones of bands, faults), as well as
                                                                  Italy. Marine and Petroleum Geology 25, 1074e1096.
         their ratios and distributions. In particular: (i) single bands are  Antonellini, M.A., Aydin, A., 1994. Effect of faulting on fluid flow in porous sand-
         generally 30e100 cm long, 4e6 mm thick and resolve 2e4mmof  stones: petrophysical properties. American Association of Petroleum Geologists
         displacement. Thickness vs. displacement and displacement vs.  Bulletin 78, 355e377.
                                                               Antonellini, M.A., Aydin, A., 1995. Effect of faulting on fluid flow in porous sand-
         length relations are nicely expressed by power-law best fits in  stones: geometry and spatial distribution. American Association of Petroleum
         logelog diagrams, whereas thickness vs. length does not appear to  Geologists Bulletin 79, 642e671.
         have a well defined relationship; (ii) zones of bands are maximum  Aydin, A., 1978. Small faults formed as deformation bands in sandstone. Pure and
                                                                  Applied Geophysics 116, 913e930.
         5 m long, 10 cm thick and have up to 10 cm of displacement. The
                                                               Aydin, A., Johnson, A.M., 1978. Development of faults as zones of deformation bands
         two last parameters are related to the number of bands comprised  and as slip surfaces in sandstone. Pure and Applied Geophysics 116, 931e942.
         within the zones; (iii) displacement and thickness are maximum at  Aydin, A., Johnson, A.M., 1983. Analysis of faulting of porous sandstone. Journal
                                                                  of Structural Geology 5 (1), 1931. http://dx.doi.org/10.1016/0191-8141(83)
         approximately midpoint or in the central part of both zones of
                                                                  90004-4.
         bands and faults; (iv) displacement vs. length data define two  Aydin, A., Borja, R.I., Eichhubl, P., 2006. Geological and mathematical framework for
         distinct trends for each group of structure. The first group, con-  failure modes in granular rock. Journal of Structural Geology 28, 83e98.
                                                               Baud, P., Klein, E., Wong, T.F., 2004. Compaction localization in porous sandstones:
         sisting of single bands and zones of bands, shows a power-law
                                                                  spatial evolution of damage and acoustic emission activity. Journal of Structural
         scaling relation with a slope of D ¼ 0.5 in a logelog diagram, and  Geology 26, 603e624.
         hence a dependence of maximum displacement on the square root  Baud, P., Vinciguerra, S., David, C., Cavallo, A., Walker, E., Reuschlé, T., 2009.
         of length. The second group, represented by faults, shows a power-  Compaction and failure in high porosity carbonates: mechanical data and
                                                                  microstructural microstructural observations. Pure and Applied Geophysics
         law scaling relation with a slope of D ¼ 0.7. These two groups of  166, 869e898.
         structures, moreover, display clear breaks in the cumulative  Barton, C.A., Zoback, M.D., 1992. Self-Similar Distribution and Properties of
         frequency distributions of their dimensional parameters.  Macroscopic Fractures at Depth in Crystalline Rock in the Cajon Pass Scientific
                                                                  Drill Hole. J. Geophys. Res 97 (B4), 5181e5200. doi:10.1029/91JB01674.
            Aside from the scientific implications of our results, they may
                                                               Baxevanis, T., Papamichos, E., Flornes, O., Larsen, I., 2006. Compaction bands and
         also be helpful in applications such as geofluids management for  induced permeability reduction in Tuffeau de Maastricht calcarenite. Acta
         improving the forecasting of carbonate reservoir quality by  Geotechnica 1, 123e135.
                                                               Berkowitz, B., Hadad, A., 1997. Fractal and multifractal measures of natural and
         mapping/simulating/assessing shear bands dimension and distri-
                                                                  synthetic  fracture  networks.  Journal  of  Geophysical  Research  102,
         bution and understanding the extent of reservoir compartmental-  12205e12218.
         ization. Indeed, the preliminary permeability measurement  Cartwright, J.A., Trudgill, B.D., Mansfeld, C.S., 1995. Fault growth by segment
                                                                  linkage: an explanation for scatter in maximum displacement and trace length
         conducted on samples collected from our faults show values of the  data from the Canyonlands Grabens of SE Utah. Journal of Structural Geology 17,
                                                2
                      2
         order of 10 19  m for cross-fault flow and 10 17  m for along fault  1319e1326.
         flow (Faulkner’s personal communication). These values, whose  Childs, C., Walsh, J.J., Watterson, J., 1990. A method for estimation of the density of
                                                                  fault displacements below the limits of seismic resolution in reservoir forma-
         meaning and detailed characterization will be investigated in the
                                                                  tions. In: Buller, A.T., Berg, E., Hjelmeland, O., Kleppe, J., Torsaeter, O., Aasen, J.O.
         future) are few order of magnitude less than the host rock  (Eds.), North Sea Oil and Gas Reservoirs: II. Proceedings of the North Sea Oil and
         permeability values (>10 15 ). A clear dependence of the fluid flow  Gas Reservoirs Conference, pp. 309e318.
                                                               Cilona, A., Baud, P., Tondi, E., Agosta, F., Vinciguerra, S., Rustichelli, A., Spiers, C.J.,
         paths through porous carbonate reservoirs on the orientation,
                                                                  2011. Deformation bands in porous carbonate grainstones: field and laboratory
         density and connectivity of shear band faults is therefore suggested  observations. Journal of Structural Geology. Submitted for publication.
         by the aforementioned permeability data.              Cowie, P.A., Scholz, C.H., 1992. Displacement-length scaling relationship for faults:
                                                                  data synthesis and discussion. Journal of Structural Geology 14, 1149e1156.
                                                               Davatzes, N.C., Aydin, A., 2003. The formation of conjugate normal fault systems in
         Acknowledgments                                          folded sandstone by sequential jointing and shearing, Waterpocket Monocline,
                                                                  Utah. Journal of Geophysical Research 108 (B10), 2478.
            This work has been supported by the Reservoir Characterization  Dawers, N.H., Anders, M.H., Scholz, C.H., 1993. Growth of normal faults:
                                                                  displacement-length scaling. Geology 21, 1107e1110.
         Project (www.rechproject.com), the MIUR-PRIN 2009, and the Rock  de Joussineau, G., Aydin, A., 2007. The evolution of the damage zone with fault
         Fracture Project at Stanford University. We are grateful to D.  growth in sandstone and its multiscale characteristics. Journal of Geophysical
         Faulkner from the Rock Deformation Laboratory of Liverpool for the  Research 112 (B12401), 19. doi:10.1029/2006JB004711.
                                                               Eichhubl, P., Hooker, J.N., Laubach, S.E., 2010. Pure and shear-enhanced compaction
         permeability measurements. We acknowledge the comments and
                                                                  bands in Aztec sandstone. Journal of Structural Geology 32, 1873e1886.
         suggestions provided by the editor W.M. Dunne and by the two  Einstein, H.H., Baecher, G.B., 1983. Probabilistic and statistical methods in engi-
         reviewers, N. Dawers and H. Fossen, whose comments improved  neering geology, specific methods and examples Part I: exploration. Rock
                                                                  Mechanics and Rock Engineering 16, 39e72.
         both quality and legibility of this paper.
                                                               Engelder, T., 1974. Cataclasis and the generation of fault gouge. Geological Society of
                                                                  America Bulletin 85, 1515e1522.
         Appendix. Supplementary material                      Ferrill, D.A., Groshong Jr., R.H., 1993. Deformation conditions in the northern
                                                                  Subalpine Chain, France, estimated from deformation modes in coarse-grained
                                                                  limestone. Journal of Structural Geology 15, 995e1006.
            Supplementary data related to this article can be found online at  Flodin, E.A., Aydin, A., 2004. Evolution of a strike-slip fault network, Valley of Fire,
         doi:10.1016/j.jsg.2012.02.003.                           southern Nevada. Geological Society of America Bulletin 116 (1/2), 42e59.
                                                               Fossen, H., Hesthammer, J., 1997. Geometric analysis and scaling relations of
                                                                  deformation bands in porous sandstone. Journal of Structural Geology 19,
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