The geometric and statistical evolution of normal fault systems: an experimental study of the effects of mechanical layer thickness on scaling laws, Journal of Structural Geology, vol.23, issue.11, pp.1803-181910, 2001. ,
DOI : 10.1016/S0191-8141(01)00028-1
Scaling rules in rock fracture and possible implications for earthquake prediction, Nature, vol.16, issue.5861, pp.297-344, 1038. ,
DOI : 10.1038/297047a0
Earthquakes as a self-organized critical phenomenon, Journal of Geophysical Research: Solid Earth, vol.9, issue.B11, pp.635-1510, 1989. ,
DOI : 10.1029/JB094iB11p15635
Self-organized criticality, Self?organized criticality, pp.364-374, 1988. ,
DOI : 10.1103/PhysRevA.38.364
Excluded volume and its relation to the onset of percolation, Physical Review B, vol.30, issue.7, pp.3933-3943, 1984. ,
DOI : 10.1103/PhysRevB.30.3933
Scaling of fracture connectivity in geological formations, Geophysical Research Letters, vol.17, issue.14, pp.2061-206410, 2000. ,
DOI : 10.1029/1999GL011241
Scaling of fracture systems in geological media, Reviews of Geophysics, vol.91, issue.11, pp.347-38410, 2001. ,
DOI : 10.1029/1999RG000074
A UNIVERSAL MODEL OF FRACTURE ,
Connectivity of random fault networks following a power law fault length distribution, Water Resources Research, vol.17, issue.1, pp.1567-158410, 1997. ,
DOI : 10.1029/96WR00433
On the connectivity of three-dimensional fault networks, Water Resources Research, vol.100, issue.B1, pp.2611-262210, 1998. ,
DOI : 10.1029/98WR01861
Clustering and size distributions of fault patterns: Theory and measurements, Geophysical Research Letters, vol.1515, issue.2, pp.10-1029, 1999. ,
DOI : 10.1029/1999GL900419
A statistical scaling model for fracture network geometry, with validation on a multiscale mapping of a joint network (Hornelen Basin, Norway), Journal of Geophysical Research, vol.10, issue.23, pp.211310-1029, 2002. ,
DOI : 10.1029/2001JB000176
The dislocation fault model with a variable discontinuity, Tectonophysics, vol.5, issue.6, pp.513-52910, 1968. ,
DOI : 10.1016/0040-1951(68)90008-5
Are fault growth and linkage models consistent with power-law distributions of fault lengths?, Journal of Structural Geology, vol.18, issue.2-3, pp.281-293, 1996. ,
DOI : 10.1016/S0191-8141(96)80050-2
Growth of faults by accumulation of seismic slip, Journal of Geophysical Research, vol.13, issue.315, pp.85-1109510, 1992. ,
DOI : 10.1029/92JB00586
Quantitative fault studies on the East Pacific Rise: A comparison of sonar imaging techniques, Journal of Geophysical Research, vol.351, issue.4, pp.205-1510, 1994. ,
DOI : 10.1029/94JB00041
Multifractal scaling properties of a growing fault population, Geophysical Journal International, vol.122, issue.2, pp.457-469, 1995. ,
DOI : 10.1111/j.1365-246X.1995.tb07007.x
The fracture criticality of crustal rocks, Geophys, J. Int, vol.118, issue.2, pp.428-438, 1994. ,
Implications of rock criticality for reservoir characterization, Journal of Petroleum Science and Engineering, vol.24, issue.1, pp.29-4810, 1999. ,
DOI : 10.1016/S0920-4105(99)00021-2
Stereological analysis of fractal fracture networks, Journal of Geophysical Research: Solid Earth, vol.305, issue.5, pp.245110-1029, 2003. ,
DOI : 10.1029/2001JB000493
On the frequency-length distribution of the San Andreas Fault System, Journal of Geophysical Research: Solid Earth, vol.XIII, issue.B7, pp.141-1210, 1993. ,
DOI : 10.1029/93JB00372
Experiments on shortening of a 4-layer model of the continental lithosphere, Tectonophysics, vol.188, issue.1-2, pp.1-2510, 1991. ,
DOI : 10.1016/0040-1951(91)90311-F
Some consequences of a proposed fractal nature of continental faulting, Nature, vol.21, issue.6296, pp.56-58, 1990. ,
DOI : 10.1016/0040-1951(85)90030-7
Localization and fault growth in layered brittle-ductile systems: Implications for deformations of the continental lithosphere, Journal of Geophysical Research: Solid Earth, vol.337, issue.B4, pp.6281-629410, 1995. ,
DOI : 10.1029/94JB02983
Flow in multiscale fractal fracture networks, Fractal Analysis for Natural Hazards, pp.31-45, 2006. ,
DOI : 10.1144/GSL.SP.2006.261.01.03
Scaling laws in fracture, Physical Review B, vol.40, issue.1, pp.877-880, 1989. ,
DOI : 10.1103/PhysRevB.40.877
Hydraulic properties of two-dimensional random fracture networks following a power law length distribution: 2. Permeability of networks based on lognormal distribution of apertures, Water Resources Research, vol.94, issue.8, pp.2079-209610, 2001. ,
DOI : 10.1029/2001WR900010
Hydraulic properties of two-dimensional random fracture networks following a power law length distribution: 1. Effective connectivity, Water Resources Research, vol.29, issue.8, pp.2065-207810, 2001. ,
DOI : 10.1029/2001WR900011
Spatial averaging of hydraulic conductivity in three-dimensional heterogeneous porous media, Mathematical Geology, vol.1, issue.3, pp.249-26710, 1992. ,
DOI : 10.1007/BF00893749
The Phenomena of Rupture and Flow in Solids, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.221, issue.582-593, pp.163-198, 1920. ,
DOI : 10.1098/rsta.1921.0006
Scale-invariant disorder in fracture and related breakdown phenomena, Physical Review B, vol.43, issue.1, pp.665-678, 1991. ,
DOI : 10.1103/PhysRevB.43.665
Variability in fault size scaling due to rock strength heterogeneity: a finite element investigation, Journal of Structural Geology, vol.25, issue.10, pp.1735-1750, 2003. ,
DOI : 10.1016/S0191-8141(02)00205-5
Controls on strain localization in a two-dimensional elastoplastic layer: Insights into size-frequency scaling of extensional fault populations, Journal of Geophysical Research, vol.17, issue.4, pp.252910-1029, 2003. ,
DOI : 10.1029/2001JB001712
Non-universal scaling of fracture length and opening
displacement, Nature, vol.367, issue.6459, pp.160-162, 1994. ,
DOI : 10.1038/367160a0
The infinite number of generalized dimensions of fractals and strange attractors, Physica D: Nonlinear Phenomena, vol.8, issue.3, pp.435-44410, 1983. ,
DOI : 10.1016/0167-2789(83)90235-X
Geometry and topology of fracture systems, Journal of Physics A: Mathematical and General, vol.30, issue.5, pp.1415-1444, 1997. ,
DOI : 10.1088/0305-4470/30/5/012
Fault map of California with locations of volcanoes , thermal springs and thermal wells, Calif. Div. of Mines and Geol, 1988. ,
The accommodation of large strains in the upper lithosphere of the earth and other solids by self-similar fault systems: the geometrical origin of b-Value, Pure and Applied Geophysics PAGEOPH, vol.31, issue.B2, pp.5-6, 1983. ,
DOI : 10.1007/BF02590182
Geological discrete fracture network model for the Laxemar site. Site descriptive modelling?Site Laxemar, 2008. ,
Scaling of fracture length and distributed damage, Geophys, J. Int, vol.144, issue.1, pp.114-122, 2001. ,
One slope or two? Detecting statistically significant breaks of slope in geophysical data, with application to fracture scaling relationships, Geophysical Research Letters, vol.53, issue.18, pp.2801-280410, 1029. ,
DOI : 10.1029/1999GL005372
Fault growth by linkage: observations and implications from analogue models, Journal of Structural Geology, vol.23, issue.5, pp.745-76310, 2001. ,
DOI : 10.1016/S0191-8141(00)00134-6
Assortative Mixing in Networks, Physical Review Letters, vol.89, issue.20, pp.10-1103, 2002. ,
DOI : 10.1103/PhysRevLett.89.208701
Mixing patterns in networks, Physical Review E, vol.67, issue.2, 2003. ,
DOI : 10.1103/PhysRevE.67.026126
The origin of tensile fracture lineaments, Journal of Structural Geology, vol.4, issue.1, pp.31-4010, 1982. ,
DOI : 10.1016/0191-8141(82)90004-9
Scaling and connectivity of joint systems in sandstones from western Norway, Journal of Structural Geology, vol.19, issue.10, pp.1257-127110, 1997. ,
DOI : 10.1016/S0191-8141(97)00041-2
Joint pattern development: Effects of subcritical crack growth and mechanical crack interaction, Journal of Geophysical Research: Solid Earth, vol.85, issue.B7, pp.251-1210, 1993. ,
DOI : 10.1029/93JB00779
Sampling power-law distributions, Sampling power?law distributions, pp.1-2010, 1995. ,
DOI : 10.1016/0040-1951(95)00030-Q
Self-organized criticality of plastic shear bands in rocks, Geophysical Research Letters, vol.305, issue.19, pp.2143-2146, 1994. ,
DOI : 10.1029/94GL02005
Connectivity of joint networks with power law length distributions, Water Resources Research, vol.22, issue.281, pp.2661-267010, 1999. ,
DOI : 10.1029/1999WR900170
Numerical simulation of fracture set formation: A fracture mechanics model consistent with experimental observations, Journal of Geophysical Research: Solid Earth, vol.97, issue.B5, pp.9359-937210, 1994. ,
DOI : 10.1029/94JB00139
Effect of mechanical interactions on the scaling of fracture length and aperture, Nature, vol.386, issue.6624, pp.482-484, 1997. ,
DOI : 10.1038/386482a0
Role of heterogeneity in elastic properties and layer thickness in the jointing of layered sedimentary rocks, Geophysical Research Letters, vol.17, issue.6, pp.229510-1029, 2003. ,
DOI : 10.1029/2003GL018489
Numerical calculations of critical densities for lines and planes, Journal of Physics A: Mathematical and General, vol.17, issue.14, pp.2823-2830, 1984. ,
DOI : 10.1088/0305-4470/17/14/025
Incremental growth of normal faults: Insights from a laser-equipped analog experiment, Earth and Planetary Science Letters, vol.273, issue.3-4, 2008. ,
DOI : 10.1016/j.epsl.2008.06.042
URL : https://hal.archives-ouvertes.fr/insu-00351998
A UNIVERSAL MODEL OF FRACTURE ,
The influence of internal stresses on the fracture of heterogeneous media, Modelling and Simulation in Materials Science and Engineering, vol.2, issue.1, pp.21-52, 1994. ,
DOI : 10.1088/0965-0393/2/1/003
Brittle-ductile coupling: Role of ductile viscosity on brittle fracturing, Geophysical Research Letters, vol.98, issue.B2, pp.10-1029, 2005. ,
DOI : 10.1029/2004GL022272
URL : https://hal.archives-ouvertes.fr/hal-00078777
Growth of geologic fractures into large-strain populations: review of nomenclature, subcritical crack growth, and some implications for rock engineering, International Journal of Rock Mechanics and Mining Sciences, vol.37, issue.1-2, pp.403-41110, 2000. ,
DOI : 10.1016/S1365-1609(99)00115-X
Displacement???length scaling in three dimensions: the importance of aspect ratio and application to deformation bands, Journal of Structural Geology, vol.24, issue.9, pp.1389-1411, 2002. ,
DOI : 10.1016/S0191-8141(01)00146-8
Formation and growth of extensional fracture sets, 95<454: FAGOEF>2.0.CO, pp.454-4620016, 1130. ,
DOI : 10.1130/0016-7606(1984)95<454:FAGOEF>2.0.CO;2
Mechanics of discontinuous faults, Journal of Geophysical Research: Solid Earth, vol.206, issue.B8, pp.4337-435010, 1980. ,
DOI : 10.1029/JB085iB08p04337
Joint formation in granitic rock of the Sierra Nevada, 94<563:JFIGRO>2.0.CO, pp.563-57510, 1983. ,
DOI : 10.1130/0016-7606(1983)94<563:JFIGRO>2.0.CO;2
Critical Phenomena in Natural Sciences Chaos, Fractals , Selforganization and Disorder: Concepts and Tools, 2006. ,
Fault growth model and the universal fault length distribution, Geophysical Research Letters, vol.305, issue.6, pp.1079-108110, 1991. ,
DOI : 10.1029/91GL01054
Structuration of the lithosphere in plate tectonics as a self-organized critical phenomenon, Journal of Geophysical Research, vol.341, issue.B11, pp.353-1710, 1990. ,
DOI : 10.1029/JB095iB11p17353
Fault growth in brittle-ductile experiments and the mechanics of continental collisions, Journal of Geophysical Research: Solid Earth, vol.123, issue.B7, pp.111-1210, 1993. ,
DOI : 10.1029/92JB01740
Experimental evidence for different strain regimes of crack populations in a clay model, Geophysical Research Letters, vol.17, issue.8, pp.1081-108410, 1999. ,
DOI : 10.1029/1999GL900175
Scaling theory of percolation clusters, Physics Reports, vol.54, issue.1, pp.1-7410, 1979. ,
DOI : 10.1016/0370-1573(79)90060-7
Similarities between Shear Zones of Different Magnitudes, Geological Society of America Bulletin, vol.81, issue.6, pp.1625-1640, 1970. ,
DOI : 10.1130/0016-7606(1970)81[1625:SBSZOD]2.0.CO;2
A fractal model for crustal deformation, Tectonophysics, pp.261-26910, 1986. ,
Geology Laxemar. Site descriptive modelling SDM?Site Laxemar, 2008. ,
An experimental study of the relationship between joint spacing and layer thickness, Journal of Structural Geology, vol.17, issue.6, pp.887-90510, 1995. ,
DOI : 10.1016/0191-8141(94)00099-L
Effect of sampling and linkage on fault length and length???displacement relationship, International Journal of Earth Sciences, vol.13, issue.5, pp.841-853, 2006. ,
DOI : 10.1007/s00531-005-0065-3
A UNIVERSAL MODEL OF FRACTURE ,