Are fault growth and linkage models consistent with power-law distributions of fault lengths?

Journal of Structural Geology

Volumn 18, Issue 2-3, 1996, Pages 281-293

  Cladouhos, Trenton T ^a   Marrett, Randall ^b  

^a UNIVERSITY OF WASHINGTON   (United States)

^b UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; FAULT GROWTH; FAULT LINKAGE; POWER LAW SCALING;

MATHEMATICAL MODELS; PROBABILITY; STRAIN RATE;

FAULT GROWTH; FAULT LENGTHS; FAULT LINKAGE MODELS; POWER LAW SCALING;

TECTONICS;

EID: 0029668315     PISSN: 01918141     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0191-8141(96)80050-2     Document Type: Article

References (45)

1. Aki, K. 1981. A probabilistic synthesis of precursory phenomena. In: Earthquake Prediction (edited by Simpson, D. W. & Richards, P. G.). Am. geophys. Un. Maurice Ewing Vol. 4, 556-574.
2. Blackstone, D. L., Jr. 1988. Traveler's guide to the geology of Wyoming. Bull. Geol. Surv. Wy. 67.
3. 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 formations. In: North Sea Oil and Gas Reservoirs II (edited by The Norwegian Institute of Technology). Graham & Trotman, London, 309-318.
4. Cladouhos, T. T. 1993. Quantitative Analysis of Faults: Fault Kinematics from the Andes of NW Argentina and SW Bolivia, a Finite Strain Method, and a Fault Growth Model. Ph.D. Dissertation, Cornell University, Ithaca, NY.
5. Cowie, P. A. & Scholz, C. H. 1992a. Physical explanation for displacement-length relationship of faults using a post-yield fracture mechanics model. J. Struct. Geol. 14, 1133-1148.
6. Cowie, P. A. & Scholz, C. H. 1992b. Displacement-length scaling relationships for faults: data synthesis and discussion. J. Struct. Geol. 14, 1149-1156.
7. Cowie, P. A. & Scholz, C. H. 1992c. Growth of faults by accumulation of seismic slip. J. geophys. Res. 97, 11085-11095.
8. Cowie, P. A., Sornette, D. & Vanneste, C. 1993. Statistical physical model for the spatio-temporal evolution of faults. J. geophys. Res. 98, 21809-21821.
9. Cowie, P. A., Sornette, D. & Vanneste, C. 1995. Multifractal scaling properties of a growing fault population. Geophys. J. Int. 122, 457-469.
10. Dawers, N. H., Anders, M. H. & Scholz, C. H. 1993. Growth of normal faults: displacement-length scaling. Geology 21, 1107-1110.
11. Davy, P. 1993. On the frequency-length distribution of the San Andreas fault system. J. geophys Res 98, 12414-12151.
12. Dugdale, D. S. 1960. Yielding of steel sheets containing slits. J. mech. phys. Solids 8, 100-104.
13. 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. J. Struct. Geol. 14, 1157-1172.
14. Griffith, A. A. 1920. The phenomenon of rupture and flow in solids. Phil. Trans. Royal Soc. Lond. A221, 163-198.
15. Griffith, A. A. 1924. The theory of rupture. In: Proc. Int. Congr. Appt. Mech. (edited by Biezeno, C. B. & Burgers, J. M.). Delft. Tech. Boeckhandel en Drukkerij J. Walter Jr.
16. Gudmundsson, A., 1987. Geometry, formation and development of tectonic fractures on the Reykjanes Peninsula, southwest Iceland. Tectonophysics, 139, 295-308.
17. Gutenburg, B. & Richter, C. F. 1954. Seismicity of the Earth and Associated Phenomena (2nd edn). Princeton University Press, NJ.
18. Jamison, W. R. 1989. Fault-fracture strain in Wingate sandstone. J. Struct. Geol. 11, 959-974.
19. Kakimi, T. 1980. Magnitude-frequency relation for displacement of minor faults and its significance in crustal deformation. Bull. geol. Surv. Japan (Chishitsu Chosasho Geppo) 31, 467-487.
20. Kanamori, H. & Anderson, D. L. 1975. Theoretical basis of some empirical relations in seismology. Bull. seism. Soc. Am. 65, 1073-1095.
21. Krantz, R. W. 1988. Multiple fault sets and three-dimensional strain: Theory and application. J. Struct. Geol. 10, 225-237.
22. Main, I. G., Meredith, P. G., Sammonds, P. R. & Jones, C. 1990. Influence of fractal flaw distributions on rock deformation in the brittle field. In: Deformation Mechanisms, Rheology and Tectonics (edited by Knipe, R. J. & Rutter, E. H.). Spec. Publ. geol. Soc. Lond. 54.
23. Marrett, R. A. & Allmendinger, R. W. 1990. Kinematic analysis of fault-slip data. J. Struct. Geol. 12, 973-986.
24. Marrett, R. A. & Allmendinger, R. W. 1991. Estimates of strain due to brittle faulting: sampling of fault populations. J. Struct. Geol. 13, 735-738.
25. Marrett, R. A. & Allmendinger, R. W. 1992. The amount of extension on 'small' faults: an example from the Viking Graben. Geology 20, 47-50.
26. Martel, S. J. 1990. Formation of compound strike-slip fault zones, Mount Abbot quadrangle, California. J. Struct. Geol. 12, 869-882.
27. Martel, S. J., Pollard, D. D. & Segall, P. 1988. Development of simple strike-slip fault zones, Mount Abbot quadrangle, Sierra Nevada, California. Bull. geol. Soc. Am. 100, 1451-1465.
28. Peacock, D. C. P. 1991. Displacements and segment linkage in strike-slip fault zones. J. Struct. Geol. 13, 1025-1035.
29. Peacock, D. C. P. & Sanderson, D. J. 1991. Displacements, segment linkage and relay ramps in normal fault zones. J. Struct. Geol. 13, 721-733.
30. Pollard, D. D. & Segall, P. 1987. Theoretical displacements and stresses near fractures in rock: With applications to faults, joints, veins, dikes, and solution surfaces. In: Fracture Mechanics of Rock (edited by Atkinson, B. K.). Academic Press, London.
31. Scholz, C. H. & Cowie, P. A. 1990. Determination of total strain from faulting using slip measurements. Nature 346, 837-839.
32. Scholz, C. H., Dawers, N. H., Yu, J.-J., Anders, M. H. & Cowie, P. A. 1993. Fault growth and fault scaling laws: preliminary results. J. geophys. Res. 98, 21951-29161.
33. Scott, R. B. & Castellanos, M. 1984. Stratigraphic and structural relations of volcanic rocks in drill holes USW GU-3 and USW G-3, Yucca Mountain, Nye County, Nevada. U.S. Geol. Surv. Open-file Rep. 84-491.
34. Segall, P. & Pollard, D. D. 1980. Mechanics of discontinuous faults. J. geophys. Res. 85, 4337-4350.
35. Segall, P. & Pollard, D.D. 1983. Nucleation and growth of strike-slip faults in granite. J. geophys. Res. 88, 555-568.
36. Shaw, H. R. & Gartner, A. E. 1986. On the graphical interpretation of paleoseismic data. U.S. Open-File Rep 86-394.
37. Stewart, J. H. 1980. Geology of Nevada. Spec. Pub. Nev. Bur. Mines & Geol.
38. Suppe, J. 1985. Principles of Structural Geology. Prentice-Hall, Inc., NJ.
39. Tapponier, P. & Brace, W. F. 1976. Development of stress-induced microcracks in Westerly granite. Int. J. Rock Mech. Min. Sci. 13, 103-112.
40. Turcotte, D. L. 1992. Fractals and Chaos in Geology and Geophysics. Cambridge University Press, Cambridge.
41. Walsh, J. J. & Watterson, J. 1987. Distributions of cumulative displacement and seismic slip on a single normal fault surface. J. Struct. Geol. 9, 1039-1046.
42. Walsh, J. J. & Watterson, J. 1988. Analysis of the relationship between displacements and dimensions of faults. J. Struct. Geol. 10, 239-247.
43. Walsh, J. J. & Watterson, J. 1992. Populations of faults and fault displacements and their effects on estimates of fault-related regional extension. J. Struct. Geol. 14, 701-712.
44. Villemin, T. & Sunwoo, C. 1987. Distribution logarithmique self-similaire des rejets et longueurs de failles: example du Bassin Houiller Lorrain. C. r. Acad. Sci., Paris 305, 1309-1312.
45. Wong, T.-F., Fredrich, J. T. & Gwanmesia, G. D. 1989. Crack aperture statistics and pore space fractal geometry of Westerly granite and Rutland quartzite: implications for an elastic contact model of rock compressibility. J. geophys. Res. 94, 10267-10278.