R. Amorim, N. Boroumand, E. Brazil, Y. Hajizadeh, D. Eaton et al., Interactive sketch-based estimation of stimulated volume in unconventional reservoirs using microseismic data, ECMOR XIII-13th European Conference on the Mathematics of Oil Recovery, 2012.

B. Atkinson, Subcritical crack propagation in rocks: theory, experimental results and applications, Journal of Structural Geology, vol.4, issue.1, pp.41-56, 1982.
DOI : 10.1016/0191-8141(82)90005-0

C. Atkinson and R. Craster, Theoretical aspects of fracture mechanics, Progress in Aerospace Sciences 31, pp.1-83, 1995.
DOI : 10.1016/0376-0421(93)E0001-M

M. Barbier, Y. Hamon, J. Callot, M. Floquet, and J. Daniel, Sedimentary and diagenetic controls on the multiscale fracturing pattern of a carbonate reservoir: The Madison Formation (Sheep Mountain, Wyoming, USA), Marine and Petroleum Geology, vol.29, issue.1, pp.50-67, 2001.
DOI : 10.1016/j.marpetgeo.2011.08.009

URL : https://hal.archives-ouvertes.fr/hal-00686538

O. Bour and P. Davy, Connectivity of random fault networks following a power law fault length distribution, Water Resources Research, vol.17, issue.1, pp.1567-1583, 1997.
DOI : 10.1007/BF01030364

O. Bour and P. Davy, On the connectivity of three-dimensional fault networks, Water Resources Research, vol.100, issue.B1, pp.2611-2622, 1998.
DOI : 10.1029/94JB02167

S. Bourne, F. Brauckmann, L. Rijkels, B. Stephenson, A. Weber et al., Predictive modelling of naturally fractured reservoirs using geomechanics and flow simulation, Abu Dhabi International Petroleum Exhibition and Conference, pp.1-10, 2000.
DOI : 10.2118/87253-MS

J. Chil-es, Stochastic modeling of natural fractured media: a review, Geostatistics Banff 2004 of Quantitative Geology and Geostatistics, pp.285-294, 2005.

M. Cooke and C. Underwood, Fracture termination and step-over at bedding interfaces due to frictional slip and interface opening, Journal of Structural Geology, vol.23, issue.2-3, pp.223-238, 2001.
DOI : 10.1016/S0191-8141(00)00092-4

P. Cowie and Z. Shipton, Fault tip displacement gradients and process zone dimensions, Journal of Structural Geology, vol.20, issue.8, pp.983-997, 1998.
DOI : 10.1016/S0191-8141(98)00029-7

P. Davy, L. Goc, R. Darcel, C. Bour, O. De-dreuzy et al., A likely universal model of fracture scaling and its consequence for crustal hydromechanics, Journal of Geophysical Research, vol.95, issue.5, 2010.
DOI : 10.1142/1407

URL : https://hal.archives-ouvertes.fr/insu-00605039

D. Dreuzy, J. Davy, P. Bour, and O. , 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.2079-2095, 2001.
DOI : 10.1029/JB094iB08p10267

J. Degraff and A. Aydin, Surface morphology of columnar joints and its significance to mechanics and direction of joint growth, Geological Society of America Bulletin, vol.99, issue.5, pp.607-617, 1987.
DOI : 10.1130/0016-7606(1987)99<605:SMOCJA>2.0.CO;2

W. Dershowitz, Rock Joint Systems, 1984.

W. Dershowitz, L. Pointe, P. Doe, and T. , Advances in discrete fracture network modeling, Proceedings of the US EPA/NGWA Fractured Rock Conference, pp.882-894, 2004.

P. Dowd, C. Xu, K. Mardia, and R. Fowell, A Comparison of Methods for the Stochastic Simulation of Rock Fractures, Mathematical Geology, vol.32, issue.7, pp.697-714, 2007.
DOI : 10.1007/978-3-662-04808-5

M. Alessio and S. Martel, Fault terminations and barriers to fault growth, Journal of Structural Geology, vol.26, issue.10, pp.1885-1896, 2004.
DOI : 10.1016/j.jsg.2004.01.010

Y. Freudenreich, A. Del-monte, E. Angerer, C. Reiser, and C. Glass, Fractured reservoir characterisation from seismic and well analysis: a case study, 67th EAGE Conference & Exhibition, pp.13-16, 2005.

E. Gringarten, FRACNET: Stochastic simulation of fractures in layered systems, Computers & Geosciences, vol.24, issue.8, pp.729-736, 1998.
DOI : 10.1016/S0098-3004(98)00071-5

W. Hoffmann, W. Dunne, and M. Mauldon, Probabilistic-mechanistic simulation of bed-normal joint patterns, Geological Society, London, Special Publications, vol.231, issue.1, pp.269-284, 2004.
DOI : 10.1144/GSL.SP.2004.231.01.16

L. Jing, A review of techniques, advances and outstanding issues in numerical modelling for rock mechanics and rock engineering, International Journal of Rock Mechanics and Mining Sciences, vol.40, issue.3, pp.283-353, 2003.
DOI : 10.1016/S1365-1609(03)00013-3

Y. Kim, D. Peacock, and D. Sanderson, Fault damage zones, Journal of Structural Geology, vol.26, issue.3, pp.503-517, 2004.
DOI : 10.1016/j.jsg.2003.08.002

A. Kloppenburg, J. Alzate, and G. Charry, Building a discrete fracture network based on the deformation history: a case study from the Guaduas Field, Colombia, pp.21-24, 2003.

L. Macé, Caracté risation et modé lisation numé rique tridimensionnelles des ré seaux de fractures naturelles: application au cas des ré servoirs, 2006.

L. Macé, L. Souche, and J. Mallet, 3D fracture modeling integrating geomechanics and geologic data, AAPG International Conference & Exhibition, pp.1-6, 2004.

L. Maerten, D. Pollard, and R. Karpuz, How to constrain 3-D fault continuity and linkage using reflection seismic data: a geomechanical approach, AAPG Bulletin, vol.84, issue.9, pp.1311-1324, 2000.

J. Olson, Joint pattern development: Effects of subcritical crack growth and mechanical crack interaction, Journal of Geophysical Research: Solid Earth, vol.85, issue.B7, pp.12251-12265, 1993.
DOI : 10.1029/JB085iB11p06113

D. Pollard and A. Aydin, Progress in understanding jointing over the past century, Geological Society of America Bulletin, vol.100, issue.8, pp.1181-1204, 1988.
DOI : 10.1130/0016-7606(1988)100<1181:PIUJOT>2.3.CO;2

S. Priest and J. Hudson, Discontinuity spacings in rock, International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, vol.13, issue.5, pp.135-148, 1976.
DOI : 10.1016/0148-9062(76)90818-4

P. Renard, J. Straubhaar, J. Caers, and G. Mariethoz, Conditioning Facies Simulations with Connectivity Data, Mathematical Geosciences, vol.39, issue.1, pp.879-903, 2011.
DOI : 10.1029/2001WR001146

C. Renshaw and D. D. Pollard, Are large differential stresses required for straight fracture propagation paths?, Journal of Structural Geology, vol.16, issue.6, pp.817-822, 1994.
DOI : 10.1016/0191-8141(94)90147-3

C. E. Renshaw and D. D. Pollard, 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.9359-9372, 1994.
DOI : 10.1029/91JB02857

P. C. Robinson, Connectivity of fracture systems-a percolation theory approach, Journal of Physics A: Mathematical and General, vol.16, issue.3, pp.605-614, 1983.
DOI : 10.1088/0305-4470/16/3/020

P. C. Robinson, Numerical calculations of critical densities for lines and planes, Journal of Physics A: Mathematical and General, vol.17, issue.14, pp.23-28, 1984.
DOI : 10.1088/0305-4470/17/14/025

C. Scholz, N. Dawers, J. Yu, M. Anders, and P. Cowie, Fault growth and fault scaling laws: Preliminary results, Journal of Geophysical Research: Solid Earth, vol.8, issue.3, pp.21951-21961, 1993.
DOI : 10.1016/0191-8141(86)90021-0

R. Srivastava, P. Frykman, and M. Jensen, Geostatistical Simulation of Fracture Networks, Geostatistics Banff 2004 of Quantitative Geology and Geostatistics, pp.295-304, 2005.
DOI : 10.1007/978-1-4020-3610-1_30

D. Stoyan, W. Kendall, and J. Mecke, Stochastic Geometry and Its Applications., Biometrics, vol.45, issue.2, 1995.
DOI : 10.2307/2531521

G. Tuckwell, L. Lonergan, and R. Jolly, The control of stress history and flaw distribution on the evolution of polygonal fracture networks, Journal of Structural Geology, vol.25, issue.8, pp.1241-1250, 2003.
DOI : 10.1016/S0191-8141(02)00165-7

J. Vermilye and C. Scholz, The process zone: A microstructural view of fault growth, Journal of Geophysical Research: Solid Earth, vol.85, issue.B6, pp.12223-12237, 1998.
DOI : 10.2113/gsecongeo.85.1.182

J. Welch, R. Davies, R. Knipe, and C. Tueckmantel, A dynamic model for fault nucleation and propagation in a mechanically layered section, Tectonophysics, vol.474, issue.3-4, pp.473-492, 2009.
DOI : 10.1016/j.tecto.2009.04.025

R. Will, R. Archer, and B. Dershowitz, A Discrete Fracture Network Approach to Conditioning Petroleum Reservoir Models Using Seismic Anisotropy and Production Dynamic Data, SPE Annual Technical Conference and Exhibition, pp.26-29, 2004.
DOI : 10.2118/90487-MS

F. Bonneau, A methodology for pseudo-genetic stochastic modeling of discrete fracture networks, Computers & Geosciences, vol.56, pp.12-22, 2013.
DOI : 10.1016/j.cageo.2013.02.004

URL : https://hal.archives-ouvertes.fr/hal-01291956

.. Multiplet-microsismique-et-orientation-des-discontinuités, 106 3.3.1 Identification des amas de microséismes coplanaires par la transformée de Hough en 3D, p.106

D. .. De, Perturbation de l'impact des fractures sur la simulation, p.124

V. Bonneau, P. Henrion, and . Collon-drouaillet, Genetic-like Modeling of Karst Network, 2010.

D. Bibliographie, J. A. Adalsteinsson, and . Sethian, A fast level set method for propagating interfaces, Journal of Computational Physics, vol.118, issue.2, pp.269-277, 1995.

D. Adalsteinsson and J. A. Sethian, The Fast Construction of Extension Velocities in Level Set Methods, Journal of Computational Physics, vol.148, issue.1, pp.2-22, 1999.
DOI : 10.1006/jcph.1998.6090

S. M. Agar, S. Geiger-boschung, S. K. Matthai, R. Alway, S. Tomás et al., The Impact of Hierarchical Fracture Networks on Flow Partitioning in Carbonate Reservoirs: Examples Based on a Jurassic Carbonate Ramp Analog from the High Atlas, SPE Annual Technical Conference and Exhibition, 2010.
DOI : 10.2118/135135-MS

Y. Alghalandis, P. Dowd, and C. Xu, Connectivity Field: a Measure for Characterising Fracture Networks, Mathematical Geosciences, vol.38, issue.5, pp.1-21, 2014.
DOI : 10.1007/s11004-006-9029-9

Y. F. Alghalandis, P. A. Dowd, and C. Xu, The RANSAC method for generating fracture networks from micro-seismic event data, Mathematical Geosciences, pp.1-18, 2013.

D. Allard, Simulation du modéle gaussien seuillé conditionné par des contraintes de connexité, Compte-rendu des Jounées de Géostatistique, pp.25-26, 1993.

R. Amorim, N. Boroumand, E. Brazil, Y. Hajizadeh, D. Eaton et al., Interactive sketch-based estimation of stimulated volume in unconventional reservoirs using microseismic data, ECMOR XIII 13th European Conference on the Mathematics of Oil Recovery, 2012.

L. André, V. Rabemanana, and F. Vuataz, Influence of water???rock interactions on fracture permeability of the deep reservoir at Soultz-sous-For??ts, France, Geothermics, vol.35, issue.5-6, pp.507-531, 2006.
DOI : 10.1016/j.geothermics.2006.09.006

S. Arrowsmith and L. Eisner, A technique for identifying microseismic multiplets and application to the Valhall field, North Sea, GEOPHYSICS, vol.88, issue.3, pp.31-40, 2006.
DOI : 10.1007/PL00001258

. Audigane, Caractérisation microsismique des massifs rocheux fracturés -modélisation thermo-hydraulique -application au concept géothermique de soultz, 2000.

R. Baker and F. Kuppe, Reservoir Characterization for Naturally Fractured Reservoirs, SPE Annual Technical Conference and Exhibition, pp.843-854, 2000.
DOI : 10.2118/63286-MS

I. Balberg, C. H. Anderson, S. Alexander, and N. Wagner, Excluded volume and its relation to the onset of percolation, Physical Review B, vol.44, issue.7, pp.3933-3943, 1984.
DOI : 10.1007/3-540-11471-8_4

W. C. Belfield, Multifractal characteristics of natural fracture apertures, Geophysical research letters, pp.2641-2644, 1994.
DOI : 10.1364/JOSAA.7.001055

N. Bellahsen, P. Fiore, and D. D. Pollard, The role of fractures in the structural interpretation of Sheep Mountain Anticline, Wyoming, Journal of Structural Geology, vol.28, issue.5, pp.850-867, 2006.
DOI : 10.1016/j.jsg.2006.01.013

URL : https://hal.archives-ouvertes.fr/hal-00144697

B. Berkowitz, Characterizing flow and transport in fractured geological media: A review, Advances in Water Resources, vol.25, issue.8-12, pp.861-884, 2002.
DOI : 10.1016/S0309-1708(02)00042-8

F. Bonneau, V. Henrion, G. Caumon, P. Renard, and J. Sausse, A methodology for pseudo-genetic stochastic modeling of discrete fracture networks, Computers & Geosciences, vol.56, pp.12-22, 2013.
DOI : 10.1016/j.cageo.2013.02.004

URL : https://hal.archives-ouvertes.fr/hal-01291956

E. Bonnet, O. Bour, N. Odling, P. Davy, I. Main et al., Scaling of fracture systems in geological media, Reviews of Geophysics, vol.91, issue.11, pp.347-383, 2001.
DOI : 10.1029/JB091iB05p04826

A. Borghi, P. Renard, and S. Jenni, A pseudo-genetic stochastic model to generate karstic networks, Journal of Hydrology, vol.414, issue.415, pp.516-529, 2012.
DOI : 10.1016/j.jhydrol.2011.11.032

D. Borrmann, J. Elseberg, K. Lingemann, and A. Nüchter, The 3D Hough Transform for plane detection in point clouds: A review and a new accumulator design, 3D Research, vol.39, issue.4, pp.1-13, 2011.
DOI : 10.1145/128749.128750

O. Bour and P. Davy, Connectivity of random fault networks following a power law fault length distribution, Water Resources Research, vol.17, issue.1, pp.1567-1583, 1997.
DOI : 10.1007/BF01030364

O. Bour and P. Davy, On the connectivity of three-dimensional fault networks, Water Resources Research, vol.100, issue.B1, pp.2611-2622, 1998.
DOI : 10.1029/94JB02167

O. Bour, P. Davy, C. Darcel, and N. Odling, 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.107-111, 1978.
DOI : 10.3997/1365-2397.1992023

B. Bourbiaux, M. Cacas, S. Sarda, and J. Sabathier, A Fast and Efficient Methodology to Convert Fractured Reservoir Images Into a Dual-Porosity Model, SPE Annual Technical Conference and Exhibition, pp.671-682, 1997.
DOI : 10.2118/38907-MS

M. Cacas, J. Daniel, and J. Letouzey, Nested geological modelling of naturally fractured reservoirs, Petroleum Geoscience, vol.7, issue.S, pp.43-52, 2001.
DOI : 10.1144/petgeo.7.S.S43

J. A. Cartwright, B. D. Trudgill, and C. S. Mansfield, Fault growth by segment linkage: an explanation for scatter in maximum displacement and trace length data from the Canyonlands Grabens of SE Utah, Journal of Structural Geology, vol.17, issue.9, pp.1319-13260191, 1995.
DOI : 10.1016/0191-8141(95)00033-A

E. Charlaix, Percolation threshold of a random array of discs: a numerical simulation, Journal of Physics A: Mathematical and General, vol.19, issue.9, p.533, 1986.
DOI : 10.1088/0305-4470/19/9/013

J. Chiì-es, Stochastic modeling of natural fractured media : A review, pp.285-294, 2005.

S. Chopra and K. Marfurt, Seismic attributes ??? A historical perspective, GEOPHYSICS, vol.26, issue.9, pp.3-28, 2005.
DOI : 10.1190/1.1436827

C. Cipolla, X. Weng, M. Mack, U. Ganguly, H. Gu et al., Integrating Microseismic Mapping and Complex Fracture Modeling to Characterize Hydraulic Fracture Complexity, SPE Hydraulic Fracturing Technology Conference, 2012.
DOI : 10.2118/140185-MS

P. Collon-drouaillet, V. Henrion, and J. Pellerin, An algorithm for 3D simulation of branchwork karst networks using Horton parameters and a-star. application to a synthetic case, pp.295-306, 2012.

E. Corwin and A. Logar, Sorting in linear time-variations on the bucket sort, Journal of computing sciences in colleges, vol.20, issue.1, pp.197-202, 2004.

D. Cox and V. Isham, Point processes, 1980.

N. Cuenot, C. Dorbath, and L. Dorbath, Analysis of the Microseismicity Induced by Fluid Injections at the EGS Site of Soultz-sous-For??ts (Alsace, France): Implications for the Characterization of the Geothermal Reservoir Properties, Pure and Applied Geophysics, vol.165, issue.5, pp.797-828, 2008.
DOI : 10.1007/s00024-008-0335-7

J. Dahi-taleghani, . Arash, and . Olson, Numerical Modeling of Multistranded-Hydraulic-Fracture Propagation: Accounting for the Interaction Between Induced and Natural Fractures, SPE Journal, vol.16, issue.03, pp.575-581, 2011.
DOI : 10.2118/124884-PA

C. Darcel, P. Davy, R. Le-goc, J. De-dreuzy, and O. Bour, Statistical methodology for discrete fracture model-including fracture size, orientation uncertainty together with intensity uncertainty and variability, Swedish Nuclear Fuel and Waste Management Co, 2009.

A. Datta-gupta and M. J. King, Streamline simulation : theory and practice, 2007.

A. Datta-gupta, J. Xie, N. Gupta, M. King, and W. Lee, Radius of Investigation and its Generalization to Unconventional Reservoirs, Journal of Petroleum Technology, vol.63, issue.07, pp.52-55, 2011.
DOI : 10.2118/0711-0052-JPT

P. Davy, A. Sornette, and D. Sornette, 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

P. Davy, C. Darcel, O. Bour, R. Munier, and J. Dreuzy, A note on the angular correction applied to fracture intensity profiles along drill core, Journal of Geophysical Research: Solid Earth, vol.15, issue.B9, p.111, 1978.
DOI : 10.1029/1999WR900170

URL : https://hal.archives-ouvertes.fr/hal-00128410

P. Davy, R. Le-goc, C. Darcel, O. Bour, J. De-dreuzy et al., A likely universal model of fracture scaling and its consequence for crustal hydromechanics, Journal of Geophysical Research, vol.95, issue.5, p.10411, 2010.
DOI : 10.1142/1407

URL : https://hal.archives-ouvertes.fr/insu-00605039

P. Davy, R. L. Goc, and C. Darcel, A model of fracture nucleation, growth and arrest, and consequences for fracture density and scaling, Journal of Geophysical Research: Solid Earth, vol.140, issue.1, pp.1393-1407, 2013.
DOI : 10.1007/s10704-005-4659-3

URL : https://hal.archives-ouvertes.fr/insu-00843306

J. Dreuzy, P. Davy, and O. Bour, Percolation parameter and percolation-threshold estimates for 3d random ellipses with widely-scattered distributions of eccentricity and size, Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, issue.5, pp.62-5948, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00135821

W. Dershowitz, E. Thorsten, S. Follin, and J. Andersson, SR 97?alternative models project. Discrete fracture network modelling for performance assessment of Aberg, SKB Rapport R, pp.99-142, 1999.

W. Dershowitz, P. L. Pointe, and T. Doe, Advances in discrete fracture network modeling, pp.13-15, 2004.

C. Dezayes, A. Genter, and B. Valley, Structure of the low permeable naturally fractured geothermal reservoir at soultz. Geoscience, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00492278

L. Dorbath, N. Cuenot, A. Genter, and M. Forgneux, Seismic response of the fractured and faulted granite of Soultz-sous-For??ts (France) to 5 km deep massive water injections, Geophysical Journal International, vol.93, issue.2, pp.653-675, 2009.
DOI : 10.1127/ejm/11/4/0731

R. J. Dorsey, A. Fluette, K. Mcdougall, B. A. Housen, S. U. Janecke et al., Chronology of Miocene???Pliocene deposits at Split Mountain Gorge, Southern California: A record of regional tectonics and Colorado River evolution, Geology, vol.35, issue.1, pp.57-60, 2007.
DOI : 10.1130/G23139A.1

P. A. Dowd, C. Xu, K. V. Mardia, and R. J. , A Comparison of Methods for the Stochastic Simulation of Rock Fractures, Mathematical Geology, vol.32, issue.7, pp.697-714, 2007.
DOI : 10.1007/978-3-662-04808-5

J. Dubois, La dynamique non linéaire en physique du globe, Coll. Géophysique, p.263, 1995.

P. Durand-riard, Gestion de la complexité géologique en restauration géomécanique 3D, 2010.

P. Durand-riard, C. A. Guzofski, G. Caumon, and M. Titeux, Handling natural complexity in three-dimensional geomechanical restoration, with application to the recent evolution of the outer fold and thrust belt, deep-water Niger Delta, AAPG Bulletin, vol.97, issue.1, pp.87-102, 2013.
DOI : 10.1306/06121211136

URL : https://hal.archives-ouvertes.fr/hal-01301172

B. Dyer, U. Schanz, T. Spillmann, F. Ladner, and M. Häring, Application of microseismic multiplet analysis to the Basel geothermal reservoir stimulation events, Geophysical Prospecting, vol.89, issue.5, pp.791-807, 2010.
DOI : 10.1111/j.1365-2478.2010.00902.x

A. Dyskin, On the role of stress fluctuations in brittle fracture, International Journal of Fracture, vol.100, issue.1, pp.29-53, 1999.
DOI : 10.1023/A:1018664101433

D. R. Faulkner, C. A. Jackson, R. J. Lunn, R. W. Schlische, Z. K. Shipton et al., A review of recent developments concerning the structure, mechanics and fluid flow properties of fault zones, Journal of Structural Geology, vol.32, issue.11, pp.1557-1575, 2010.
DOI : 10.1016/j.jsg.2010.06.009

O. Fouché and J. Diebolt, Describing the Geometry of 3D Fracture Systems by Correcting for Linear Sampling Bias, Mathematical Geology, vol.36, issue.1, pp.33-63, 2004.
DOI : 10.1023/B:MATG.0000016229.37309.fd

A. Genter, H. Traineau, C. Dezayes, P. Elsass, B. Ledeser et al., Fracture analysis and reservoir characterization of the granitic basement in the hdr project (france) Geothermal science and technology, pp.189-214, 1995.

A. Genter, H. Traineau, B. Ledésert, B. Bourgine, and S. Gentier, Over 10 years of geological investigations within the hdr soultz project, france, Proceedings World Geothermal Congress, pp.3707-3712, 2000.

S. Gentier, X. Rachez, T. D. Ngoc, M. Peter-borie, and C. , Souque, et al. 3d flow modelling of the medium-term circulation test performed in the deep geothermal site of soultz-sous-forêts (france), Proceedings World Geothermal Congress 2010, 2010.

Y. Géraud, M. Rosener, F. Surma, J. Place, ´. E. Garzic et al., Physical properties of fault zones within a granite body: Example of the Soultz-sous-For??ts geothermal site, Comptes Rendus Geoscience, vol.342, issue.7-8
DOI : 10.1016/j.crte.2010.02.002

J. Gilman, Enhanced simulation of naturally fractured reservoirs, 8th International Forum on Reservoir Simulation, pp.20-24, 2005.

M. Godano, E. Gaucher, T. Bardainne, M. Regnier, A. Deschamps et al., Assessment of focal mechanisms of microseismic events computed from two three-component receivers : application to the arkema-vauvert field (france) Geophysical prospecting, pp.775-790, 2010.

A. Griffith, The phenomena of rupture and flow in solids. Philosophical transactions of the royal society of london. Series A, containing papers of a mathematical or physical character, pp.163-198, 1921.

A. Griffith, The theory of rupture, First International Conference for Applied Mechanics, pp.55-63, 1924.

W. S. Hall, Boundary Element Method, 1994.

K. Hardacre and P. Cowie, 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

V. Henrion, Approche pseudo?génétique pour la simulation stochastique de la géométrie 3D de réseaux de fractures et karstiques, 2011.

H. Hentschel and I. Procaccia, The infinite number of generalized dimensions of fractals and strange attractors, Physica D: Nonlinear Phenomena, vol.8, issue.3, pp.435-444, 1983.
DOI : 10.1016/0167-2789(83)90235-X

K. Hestir and J. Long, Analytical expressions for the permeability of random two-dimensional Poisson fracture networks based on regular lattice percolation and equivalent media theories, Journal of Geophysical Research, vol.15, issue.6, pp.21565-21581, 1990.
DOI : 10.1002/3527602798

P. V. Hough, Method and means for recognizing complex patterns, US patent, vol.3, issue.069, p.654, 1962.

L. Hu and S. Jenni, History Matching of Object-Based Stochastic Reservoir Models, SPE Journal, vol.10, issue.03, pp.312-323, 2005.
DOI : 10.2118/81503-PA

J. Hudson and S. Priest, Discontinuity frequency in rock masses, International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, vol.20, issue.2, pp.73-89, 1983.
DOI : 10.1016/0148-9062(83)90329-7

G. Irwin, Analysis of stresses and strains near the end of a crack traversing a plate, J. appl. Mech, 1957.

P. Jacquemin and J. Mallet, Automatic faults extraction using double hough transform. SEG Technical Program Expanded Abstracts, pp.755-758, 2005.

J. Jaeger, Elasticity, Fracture and Flow, with Engineering and Geological Applications, 1969.

S. Jenni, L. Hu, R. Basquet, G. De-marsily, and B. Bourbiaux, History matching of a stochastic model of field-scale fractures : Methodology and case study. Oil and Gas Science and Technology, pp.265-276, 2007.

L. Jing, A review of techniques, advances and outstanding issues in numerical modelling for rock mechanics and rock engineering, International Journal of Rock Mechanics and Mining Sciences, vol.40, issue.3, pp.283-353, 2003.
DOI : 10.1016/S1365-1609(03)00013-3

V. Joekar-niasar and S. Hassanizadeh, Analysis of Fundamentals of Two-Phase Flow in Porous Media Using Dynamic Pore-Network Models: A Review, Critical Reviews in Environmental Science and Technology, vol.5, issue.18, pp.42-1895, 2012.
DOI : 10.1006/jcis.1996.4699

J. Josnin, H. Jourde, P. Fénard, and P. Bidaux, A three-dimensional model to simulate joint networks in layered rocks, Canadian Journal of Earth Sciences, vol.17, issue.6, pp.39-1443, 2002.
DOI : 10.1016/0191-8141(94)00099-L

Y. Kim, D. Peacock, and D. Sanderson, Fault damage zones, Journal of Structural Geology, vol.26, issue.3, pp.503-517, 2004.
DOI : 10.1016/j.jsg.2003.08.002

B. Klinkenberg, A review of methods used to determine the fractal dimension of linear features, Mathematical Geology, vol.18, issue.A, pp.23-46, 1994.
DOI : 10.1111/j.1365-2818.1981.tb01198.x

F. Kun and H. J. Herrmann, A study of fragmentation processes using a discrete element method, Computer Methods in Applied Mechanics and Engineering, vol.138, issue.1-4, pp.3-18, 1996.
DOI : 10.1016/S0045-7825(96)01012-2

J. Lamarche, A. P. Lavenu, B. D. Gauthier, Y. Guglielmi, and O. Jayet, Relationships between fracture patterns, geodynamics and mechanical stratigraphy in carbonates (South-East Basin , France) Tectonophysics, 2012.

J. Lees, Multiplet analysis at coso geothermal, Bulletin of the Seismological Society of America, vol.88, issue.5, pp.1127-1143, 1998.

M. Lefranc, A. Dubois, J. Joonnekindt, and L. Maerten, Subseismic scale fracture characterization combining geomechanics and tectonic history, Petroleum Geoscience Conference & Exhibition 2013, 2013.

V. Lyakhovsky, Scaling of fracture length and distributed damage, Geophysical Journal International, vol.35, issue.6624, pp.114-122, 2001.
DOI : 10.1016/S0148-9062(97)00323-9

L. Macé, Caractérisation et modélisation numérique tridimensionnelles des réseaux de fractures naturelles : Application au cas des réservoirs, 2006.

F. Maerten, Geomechanics to solve geological structure issues : forward, inverse and restoration modeling, 2010.
URL : https://hal.archives-ouvertes.fr/tel-00537899

J. Mallet, Discrete smooth interpolation, ACM Transactions on Graphics, vol.8, issue.2, pp.263-270, 1992.
DOI : 10.1145/62054.62057

C. Mansfield and J. Cartwright, Fault growth by linkage: observations and implications from analogue models, Journal of Structural Geology, vol.23, issue.5, pp.745-763, 2001.
DOI : 10.1016/S0191-8141(00)00134-6

M. Masihi and P. R. King, A correlated fracture network: Modeling and percolation properties, Water Resources Research, vol.70, issue.14, 2007.
DOI : 10.1103/PhysRevLett.70.2186

M. Masihi, M. Sobhani, A. M. Al-ajmi, Y. M. Wahaibi, and T. K. , A physically-based three dimensional fracture network modeling technique, Scientia Iranica, vol.19, issue.3, pp.594-604, 2012.
DOI : 10.1016/j.scient.2012.01.008

B. Massart, M. Paillet, V. Henrion, J. Sausse, C. Dezayes et al., Fracture characterization and stochastic modeling of the granitic basement in the hdr soultz project (france), Proceedings World Geothermal Congress, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00496923

G. Massonnat and E. Manisse, Modelisation des reservoirs fractures et recherché de parameters equivalents : etude de l'anisotropie verticale de permeability, Bull. Centres Rech. Explor. Prod. Elf Aquitaine, vol.18, pp.171-209, 1994.

S. K. Matthäi and M. Belayneh, Fluid flow partitioning between fractures and a permeable rock matrix, Geophysical Research Letters, vol.86, issue.79, p.31, 2004.
DOI : 10.1029/1999JB900179

M. Mayerhofer, E. Lolon, N. Warpinski, C. Cipolla, D. Walser et al., What Is Stimulated Reservoir Volume?, SPE Production & Operations, vol.25, issue.01, pp.89-98, 2010.
DOI : 10.2118/119890-PA

N. Moës and T. Belytschko, X-FEM, de nouvelles fronti??res pour les ??l??ments finis, Revue Europ??enne des ??l??ments Finis, vol.50, issue.11, pp.305-318, 2002.
DOI : 10.1002/nme.143

L. E. Mot, La fragmentation naturelle des massifs rocheux : modèles de blocs et bases de données tridimensionnelles : réalisation, exploration géométrique et applications, 2000.

P. Muron, Méthodes numériques 3-D de restauration des structures géologiques faillées, 2005.

W. Narr, Fracture density in the deep subsurfaces : Techniques with application to Point Arguelo oil field, AAPG Bulletin, vol.75, issue.8, pp.1300-1323, 1991.

R. Nelson, Geologic Analysis of Naturally Fractured Reservoirs, 2001.

D. Ngo, Y. Huang, A. Rosakis, W. A. Griffith, and D. Pollard, Off-fault tensile cracks: A link between geological fault observations, lab experiments, and dynamic rupture models, Journal of Geophysical Research: Solid Earth, vol.238, issue.B8, pp.2012-2011
DOI : 10.1126/science.238.4830.1105

E. B. Niven and C. V. Deutsch, Non-random Discrete Fracture Network Modeling, Geostatistics Oslo, vol.17, pp.275-286, 2012.
DOI : 10.1007/978-94-007-4153-9_22

B. Noetinger, An Explicit Formula for Computing the Sensitivity of the Effective Conductivity of Heterogeneous Composite Materials to Local Inclusion Transport Properties and Geometry, Multiscale Modeling & Simulation, vol.11, issue.3
DOI : 10.1137/120884961

B. Noetinger, M. Delorme, A. Fourno, and N. Khvoenkova, Flows in Discrete Fracture Networks: from Fine Scale Explicit Simulations to Network Models and Reservoir Simulators, ECMOR XIII, 13th European Conference on the Mathematics of Oil Recovery, 2012.
DOI : 10.3997/2214-4609.20143168

M. Oda, Permeability tensor for discontinuous rock masses, G??otechnique, vol.35, issue.4, pp.483-495, 1985.
DOI : 10.1680/geot.1985.35.4.483

J. Olson, Joint pattern development: Effects of subcritical crack growth and mechanical crack interaction, Journal of Geophysical Research: Solid Earth, vol.85, issue.B7, pp.12251-12265, 1993.
DOI : 10.1029/JB085iB11p06113

S. Osher and J. Sethian, Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, Journal of Computational Physics, vol.79, issue.1, pp.12-49, 1988.
DOI : 10.1016/0021-9991(88)90002-2

G. Ouillon, Application de l'analyse multifractale et de la transformée en ondelettes anisotropesàtropesà la caractérisation géométrique multi-´ echelle des réseaux de failles et de fractures, 1995.

G. Ouillon, C. Castaing, and D. Sornette, Hierarchical geometry of faulting, Journal of Geophysical Research: Solid Earth, vol.47, issue.9, pp.5477-5487, 1978.
DOI : 10.1103/PhysRevLett.47.1400

G. Ouillon, C. Ducorbier, and D. Sornette, Automatic reconstruction of fault networks from seismicity catalogs: Three-dimensional optimal anisotropic dynamic clustering, Journal of Geophysical Research, vol.93, issue.14, p.113, 1978.
DOI : 10.1017/CBO9780511818516

N. Outters, A generic study of discrete fracture network transport properties using fracman, 2003.

J. Overby, L. Bodum, E. Kjems, and P. Iisoe, Automatic 3d building reconstruction from airborne laser scanning and cadastral data using hough transform. International Archives of Photogrammetry and Remote Sensing, pp.296-301, 2004.

S. Ozkaya, A Simple Formula To Estimate 2D Fracture Connectivity, SPE Reservoir Evaluation & Engineering, vol.14, issue.06, pp.763-775, 2011.
DOI : 10.2118/153143-PA

A. Paluszny, S. Matthäi, and M. Hohmeyer, Hybrid finite element?finite volume discretization of complex geologic structures and a new simulation workflow demonstrated on fractured rocks, Geofluids, vol.220, issue.2, pp.186-208, 2007.
DOI : 10.1109/20.497507

M. Peter-borie and S. Gentier, From the tectonic and structural analysis towards a fracture network model for hydraulically modeling the soultz egs (france), 2011.
URL : https://hal.archives-ouvertes.fr/hal-00618253

G. Pickering, J. Bull, and D. Sanderson, Sampling power-law distributions, Tectonophysics, vol.248, issue.1-2, pp.1-20, 1995.
DOI : 10.1016/0040-1951(95)00030-Q

D. Pollard and A. Aydin, Progress in understanding jointing over the past century, Geological Society of America Bulletin, vol.100, issue.8, pp.1181-1204, 1988.
DOI : 10.1130/0016-7606(1988)100<1181:PIUJOT>2.3.CO;2

G. Radilla, J. Sausse, B. Sanjuan, and M. Fourar, Interpreting tracer tests in the enhanced geothermal system (EGS) of Soultz-sous-For??ts using the equivalent stratified medium approach, Geothermics, vol.44, pp.43-51, 2012.
DOI : 10.1016/j.geothermics.2012.07.001

Z. Reches and D. Lockner, Nucleation and growth of faults in brittle rocks Journal of geophysical research -all series, pp.18-18, 1994.

P. Renard, J. Straubhaar, J. Caers, and G. Mariethoz, Conditioning Facies Simulations with Connectivity Data, Mathematical Geosciences, vol.39, issue.1, pp.879-903, 2011.
DOI : 10.1029/2001WR001146

C. Renshaw and D. Pollard, An experimentally verified criterion for propagation across unbounded frictional interfaces in brittle, linear elastic materials, International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, vol.32, issue.3, pp.237-249, 1995.
DOI : 10.1016/0148-9062(94)00037-4

P. Rijken and M. Cooke, Role of shale thickness on vertical connectivity of fractures: application of crack-bridging theory to the Austin Chalk, Texas, Tectonophysics, vol.337, issue.1-2, pp.117-133, 2001.
DOI : 10.1016/S0040-1951(01)00107-X

P. C. Robinson, Connectivity of fracture systems-a percolation theory approach, Journal of Physics A: Mathematical and General, vol.16, issue.3, pp.605-614, 1983.
DOI : 10.1088/0305-4470/16/3/020

A. Rouleau and J. Gale, Statistical characterization of the fracture system in the Stripa granite, Sweden, International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, pp.353-367, 1985.
DOI : 10.1016/0148-9062(85)90001-4

M. Sahimi, Flow phenomena in rocks: from continuum models to fractals, percolation, cellular automata, and simulated annealing, Reviews of Modern Physics, vol.3, issue.4, pp.1393-1534, 1993.
DOI : 10.1063/1.857916

B. Sanjuan, J. Pinault, P. Rose, A. Gérard, M. Brach et al., Tracer testing of the geothermal heat exchanger at soultz-sous-forêts (france) between, Geothermics, issue.5, pp.35-622, 2000.

W. Sassi, M. Guiton, Y. Leroy, J. Daniel, and J. Callot, Constraints on bed scale fracture chronology with a fem mechanical model of folding : The case of Split Mountain Tectonophysics, pp.576-577, 2012.

J. Sausse, Caractérisation et modélisation desécoulementsdesécoulements fluides en milieu fissuré. Relation avec les altérations hydrothermales et quantification des paléocontraintes, 1998.

J. Sausse, C. Dezayes, L. Dorbath, A. Genter, and J. Place, 3D model of fracture zones at Soultz-sous-For??ts based on geological data, image logs, induced microseismicity and vertical seismic profiles, Comptes Rendus Geoscience, vol.342, issue.7-8, pp.531-545, 2010.
DOI : 10.1016/j.crte.2010.01.011

L. Scholtès and F. Donzé, Modelling progressive failure in fractured rock masses using a 3D discrete element method, International Journal of Rock Mechanics and Mining Sciences, vol.52, pp.18-30, 2012.
DOI : 10.1016/j.ijrmms.2012.02.009

J. Sethian, A fast marching level set method for monotonically advancing fronts., Proceedings of the National Academy of Sciences, vol.93, issue.4, p.1591, 1996.
DOI : 10.1073/pnas.93.4.1591

S. Shapiro, P. Audigane, and J. Royer, An inversion for the permeability tensor by using seismic emission, SEG Technical Program Expanded Abstracts 1999, 1999.
DOI : 10.1190/1.1820884

S. Shapiro, E. Rothert, V. Rath, and J. Rindschwentner, Characterization of fluid transport properties of reservoirs using induced microseismicity, GEOPHYSICS, vol.102, issue.18, pp.212-220, 2002.
DOI : 10.1063/1.881445

F. Shen and S. Li, A Combined Geological, Geophysical and Rock Mechanics Approach to Naturally Fractured Reservoir Characterization and Its Applications, SPE Annual Technical Conference and Exhibition, pp.2085-2092, 2004.
DOI : 10.2118/90275-MS

L. J. Silliphant, T. Engelder, and M. R. Gross, The state of stress in the limb of the Split Mountain anticline, Utah: constraints placed by transected joints, Journal of Structural Geology, vol.24, issue.1, pp.155-172, 2002.
DOI : 10.1016/S0191-8141(01)00055-4

D. Snow, Anisotropie Permeability of Fractured Media, Water Resources Research, vol.15, issue.1, pp.1273-1289, 1969.
DOI : 10.1680/geot.1965.15.3.287

D. Sornette and P. Davy, Fault growth model and the universal fault length distribution, Geophysical Research Letters, vol.305, issue.6, pp.1079-1081, 1991.
DOI : 10.1029/JB095iB11p17353

R. Srivastava, P. Frykman, and M. Jensen, Geostatistical Simulation of Fracture Networks, Geostatistics Banff of Quantitative Geology and Geostatistics, pp.295-304, 2004.
DOI : 10.1007/978-1-4020-3610-1_30

D. S. Stone, Tectonic Evolution of the Uinta Mountains : Palinspastic Restoration of a Structual Cross Section Along Longitude 109 15, 1993.

S. Suzuki, C. Daly, D. Mueller, and J. Caers, History matching of naturally fractured reservoirs using elastic stress simulation and probability perturbation method, SPE Annual Technical Conference and Exhibition, 2005.

P. Talwani and S. Acree, Pore pressure diffusion and the mechanism of reservoir-induced seismicity, Pure and Applied Geophysics PAGEOPH, vol.87, issue.no. 4, pp.947-965, 1984.
DOI : 10.1139/e78-157

N. Taner, Seismic attributes. Recoder, pp.48-56, 2001.

F. Tarsha-kurdi, T. Landes, and P. Grussenmeyer, Hough-transform and extended ransac algorithms for automatic detection of 3d building roof planes from lidar data. International Archives of Photogrammetry, Remote Sensing and Spatial Information Systems, pp.407-412, 2007.
URL : https://hal.archives-ouvertes.fr/halshs-00264843

R. D. Terzaghi, Sources of Error in Joint Surveys, G??otechnique, vol.15, issue.3, pp.287-304, 1965.
DOI : 10.1680/geot.1965.15.3.287

G. Tuckwell, L. Lonergan, and R. Jolly, The control of stress history and flaw distribution on the evolution of polygonal fracture networks, Journal of Structural Geology, vol.25, issue.8, pp.25-1241, 2003.
DOI : 10.1016/S0191-8141(02)00165-7

B. C. Valley, The relation between natural fracturing and stress heterogeneities in deep-seated crystalline rocks at Soultz-sous-Forêts (France), p.17385, 2007.

D. Vasco, H. Keers, and K. Karasaki, Estimation of reservoir properties using transient pressure data: An asymptotic approach, Water Resources Research, vol.22, issue.1, pp.3447-3465, 2000.
DOI : 10.1029/WR022i002p00095

B. Velde, J. Dubois, G. Touchard, and A. Badri, Fractal analysis of fractures in rocks: the Cantor's Dust method, Tectonophysics, vol.179, issue.3-4, pp.345-352, 1990.
DOI : 10.1016/0040-1951(90)90300-W

B. Velde, J. Dubois, D. Moore, and G. Touchard, Fractal patterns of fractures in granites, Earth and Planetary Science Letters, vol.104, issue.1, pp.25-35, 1991.
DOI : 10.1016/0012-821X(91)90234-9

J. P. Verdon and J. Kendall, Detection of multiple fracture sets using observations of shear-wave splitting in microseismic data, Geophysical Prospecting, vol.58, issue.4, pp.593-608, 2011.
DOI : 10.1111/j.1365-2478.2010.00891.x

S. Vitel, Méthodes de discrétisation et de changement d ´ ´ echelle pour les réservoirs fracturés 3D, 2007.

J. Voillemont, Caractérisation par micro-sismicité induite des propriétés des massifs poreux fracturés. modélisations par la méthode des lignes de courant d'un site géothermique HDR (Soultz-Sous-Forêts, 2003.

G. Vosselman and S. Dijkman, 3d building model reconstruction from point clouds and ground plans. International Archives of Photogrammetry Remote Sensing and Spatial Information Sciences, pp.37-44, 2001.

T. Wallroth, A. J. Jupe, and R. H. Jones, Characterisation of a fractured reservoir using microearthquakes induced by hydraulic injections. Marine and petroleum geology, pp.447-455, 1996.

H. Wang and Z. Yao, A fast multipole dual boundary element method for the threedimensional crack problems, Computer Modeling in Engineering & Sciences(CMES), vol.72, issue.2, pp.115-147, 2011.

J. Warren and P. Root, The Behavior of Naturally Fractured Reservoirs, Society of Petroleum Engineers Journal, vol.3, issue.03, pp.245-255, 1963.
DOI : 10.2118/426-PA

J. Welch, R. Davies, R. Knipe, and C. Tueckmantel, A dynamic model for fault nucleation and propagation in a mechanically layered section, Tectonophysics, vol.474, issue.3-4, pp.473-492, 2009.
DOI : 10.1016/j.tecto.2009.04.025

D. L. Wells and K. J. Coppersmith, New empirical relationships among magnitude, rupture length, rupture width, rupture area, and surface displacement, pp.974-1002, 1994.

S. J. Wilkins and M. R. Gross, Normal fault growth in layered rocks at Split Mountain, Utah: influence of mechanical stratigraphy on dip linkage, fault restriction and fault scaling, Journal of Structural Geology, vol.24, issue.9, pp.1413-1429, 2002.
DOI : 10.1016/S0191-8141(01)00154-7

J. Xie, C. Yang, N. Gupta, M. King, and A. Datta-gupta, Integration of Shale Gas Production Data and Microseismic for Fracture and Reservoir Properties Using Fast Marching Method, SPE Eastern Regional Meeting, 2012.
DOI : 10.2118/161357-MS

C. Xu and P. Dowd, A new computer code for discrete fracture network modelling Computers &amp ; Geosciences, pp.292-301, 2010.

C. Xu, P. Dowd, K. Mardia, and R. Fowell, A Connectivity Index for Discrete Fracture Networks, Mathematical Geology, vol.37, issue.10, pp.611-634, 2006.
DOI : 10.1007/978-94-015-8267-4_16

C. Xu, P. A. Dowd, and D. Wyborn, Optimisation of a stochastic rock fracture model using Markov Chain Monte Carlo simulation, 35TH APCOM Symposium, pp.635-642, 2011.
DOI : 10.1016/j.cageo.2009.05.012

C. Xu, P. A. Dowd, and D. Wyborn, Optimisation of a stochastic rock fracture model using markov chain monte carlo simulation. Mining Technology, pp.153-158, 2013.

C. Zeeb, E. Gomez-rivas, P. D. Bons, and P. Blum, Evaluation of sampling methods for fracture network characterization using outcrops, AAPG Bulletin, vol.97, issue.9, pp.1545-1566, 2013.
DOI : 10.1306/02131312042