Is the Earth Lazy? A review of work minimization in fault evolution

Journal of Structural Geology

Volumn 66, Issue , 2014, Pages 334-346

  Cooke, Michele L ^a   Madden, Elizabeth H ^a  

^a UNIVERSITY OF MASSACHUSETTS   (United States)

Author keywords

Energy budget; Fault propagation; Numerical model; Work minimization

Indexed keywords

BUDGET CONTROL; ECONOMIC AND SOCIAL EFFECTS; FORECASTING; NUMERICAL MODELS;

COULOMB FAILURE; ENERGY BUDGETS; FAULT EVOLUTION; FAULT PROPAGATION; GROWTH PATTERNS; NUMERICAL IMPLEMENTATION; PROPAGATION PATHS; TECTONIC SETTINGS;

FAULTING;

ACTIVE FAULT; ENERGY BUDGET; FAULT PROPAGATION; NUMERICAL MODEL; TECTONIC EVOLUTION;

EID: 84903828302     PISSN: 01918141     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsg.2014.05.004     Document Type: Review

References (81)

1. Bird P., Yuen D.A. The use of minimum dissipation principle in tectonophysics. Earth Planet. Sci. Lett. 1979, 45:214-217.
2. Bishop A.W. The use of the slip circle in the stability analysis of slopes. Géotechnique 1955, 5. 10.1680/geot.1955.5.1.7.
3. Bobet A. Fracture Coalescence in Rock Materials: Experimental Observations and Numerical Predictions 1997, Sc.D. Thesis, Massachusetts Institute of Technology, Cambridge, Massachusetts.
4. Bobet A., Einstein H.H. Fracture coalescence in rock-like materials under uniaxial and biaxial compression. Int. J. Rock Mech. Min. Sci. 1998, 35:863-888.
5. Bobet A. The initiation of secondary cracks in compression. Eng. Fract. Mech. 2006, 66:187-219.
6. Burbidge D.R., Braun J. Numerical models of the evolution of accretionary wedges and fold-and-thrust belts using the distinct-element method. Geophys. J. Int. 2002, 148:542-561.
7. Chen Y., Zhang L., He X.S., Chen J.Y., Hu C.Q. Evaluation of model similarity of induced joints in a high RCC arch dam. Proceedings of the 6th Physical Modelling in Geotechnics conference (ICPMG 2006) 2006, vol. 1:413-417.
8. Cooke M.L., Dair L.C. Simulating the recent evolution of the southern big bend of the San Andreas fault, Southern California. J.Geophys. Res. Solid Earth 2011, 116:B04405. 10.1029/2010JB007835.
9. Cooke M.L., Murphy S. Assessing the work budget and efficiency of fault systems using mechanical models. J.Geophys. Res. 2004, 109. 10.1029/2004JB002968.
10. Cooke M.L., Pollard D.D. Bedding plane slip in initial stages of fault-related folding. J.Struct. Geol. 1997, 19:567-581.
11. Cooke M.L., Kameda A. Mechanical fault interaction within the Los Angeles Basin: a two-dimensional analysis using mechanical efficiency. J.Geophys. Res. 2002, 107. 10.1029/2001JB000542.
12. Cooke M.L., Schottenfeld M.T., Buchanan S.W. Evolution of fault efficiency at restraining bends within Wet Kaolin. J.Struct. Geol. 2013, 51. 10.1016/j.jsg.2013.01.010.
13. Cox S.J.D., Scholz C.H. On the formation and growth of faults: an experimental study. J.Struct. Geol. 1988, 10:413-430.
14. Cubas N., Leroy Y.M., Maillot B. Prediction of thrusting sequences in accretionary wedges. J.Geophys. Res. 2008, 113. 10.1029/2008JB005717.
15. Dahlen F.A., Suppe J., Davis D. Mechanics of fold-and-thrust belts and accretionary wedges: cohesive coulomb theory. J.Geophys. Res. 1984, 89:87-101.
16. Dahlen F.A. Mechanical energy budget of a fold-and-thrust belt. Nature 1988, 331:335-337.
17. DeBremaecker J.-C. Comment on "Minimum-work mountain building" by Jeffrey G. Masek and Christopher C. Duncan. J.Geophys. Res. 1999, 104:20395.
18. DeBremaecker J.-C., Ferris M.C. Numerical models of shear fracture propagation. Eng. Fract. Mech. 2004, 71:2161-2178.
19. Del Castello M., Cooke M.L. Underthrusting-accretion cycle: work budget as revealed by the boundary element method. J.Geophys. Res. 2007, 112. 10.1029/2007JB004997.
20. Dempsey D., Ellis S., Archer R., Rowland J. Energetics of normal faults earthquakes on dip slip faults. Geology 2012, 79-282. 10.1130/G32643.1.
21. Du Y., Aydin A. The maximum distortional strain energy density criterion for shear fracture propagation with applications to the growth paths of en echelon faults. Geophys. Res. Lett. 1993, 20:1091-1094.
22. Du Y., Aydin A. Is the San Andreas big bend responsible for the Landers earthquake and eastern California shear zone. Geology 1996, 24:219-222.
23. Engelder T., Fisher M. Loading configurations and driving mechanisms for joints based on the Griffith energy-balance concept. Tectonophysics 1996, 256:253-277.
24. Flesch L.M., Holt W.E., Silver P.G., Stephenson M., Wang C.Y., Chan W.W.l. Constraining the extent of crust-mantle coupling in central Asia using GPS, geologic, and shear wave splitting data. Earth Planet. Sci. Lett. 2005, 238:248-268.
25. Fossen H., Tikoff B. Forward modeling of non-steady-state deformations and the 'minimum strain path'. J.Struct. Geol. 1997, 19:987-996.
26. Fossen H., Tikoff B. Forward modeling of non-steady-state deformations and the 'minimum strain path': Reply. J.Struct. Geol. 1998, 20:979-981.
27. Froidevaux C. Energy dissipation and geometric structure at spreading plate boundaries. Earth Planet. Sci. Lett. 1973, 20:419-424.
28. Fulton P.M., Brodsky E.E., Kano Y., Mori J., Chester F., Ishikawa T., Harris R.N., Lin W., Eguchi N., Toczko S. Low coseismic friction on the Tohoku-Oki fault determined from temperature measurements. Science 2013, 342:1214-1217.
29. Gutscher M.A., Kukowski N., Malavieille J., Lallemand S. Episodic imbricate thrusting and underthrusting: analog experiments and mechanical analysis applied to the Alaskan Accretionary Wedge. J.Geophys. Res. 1998, 103:10,161-10,176.
30. Griffith A.A. The phenomena of rupture and flow in solids. Philos. Trans. R. Soc. Lond. a 1921, 221:163-198.
31. Griffith A.A. Theory of Rupture 1924, 55-63. Proc. First International Congress Applied Mechanics, Delft.
32. Griffith W.A., Cooke M.L. Mechanical Validation of the Three-dimensional Intersection Geometry between the Puente Hills Blind-thrust System and the Whittier fault 2004, vol. 94:493-505. Bulletin of the Seismological Society of America, Los Angeles, California.
33. Handin J., Hager R.V. Experimental deformation of sedimentary rocks under confining pressure: tests at room temperature on dry samples. AAPG Bull. 1957, 41(1):1-50.
34. Hardy S., Duncan C., Masek J., Brown D. Minimum work, fault activity and the growth of critical wedges in fold and thrust belts. Basin Res. 1998, 10:365-373. 10.1046/j.1365-2117.1998.00073.x.
35. Hazzard J.F., Young R.P. Simulating acoustic emissions in bonded-particle models of rock. Int. J. Rock Mech. Min. Sci. 2000, 37:867-872.
36. Holtzman B., Kohlstedt D., Morgan J.P. Viscous energy dissipation and strain partitioning in partially molten rocks. J.Petrol. 2005, 46:2569-2592. 10.1093/petrology/egi065.
37. Inglis C.E. Stresses in a Plate due to the Presence of Cracks and Sharp Corners 1913, Fifty-fourth Session of the Institution of Naval Architects.
38. Ismat Z. Energy budget during fold tightening of a multilayer fold. J.Struct. Geol. 2008, 31:972-988. 10.1016/j.jsg.2008.10.006.
39. Jaeger J.C., Cook N.G., Zimmerman R.W. Fundamentals of Rock Mechanics 2007, 513pp., Malden, MA.
40. Jessell M., Bons P., Evans L., Barr T., Stewe K. Elle: the numerical simulation of metamorphic and deformation microstructures. Comput. Geosci. 2001, 27:17-30.
41. Jian D. Forward modeling of non-steady-state deformations and the 'minimum strain path': discussion. J.Struct. Geol. 1998, 20:975-977.
42. Jones C.H., Wesnousky S.G. Variations in strength and slip rate along the San Andreas Fault system. Science 1992, 256:83-86.
43. Kleinrock M.C., Morgan J.P. Triple junction reorganization. J.Geophys. Res. 1988, 93:2981-2996. 10.1029/JB093iB04p02981.
44. Kleidon A., Fraedrich K., Kunz T., Lunkeit F. The atmospheric circulation and states of maximum entropy production. Geophys. Res. Lett. 2003, 30:2223. 10.1029/2003GL018363.
45. Lachenbruch A.H. Mechanics of thermal contraction cracks and ice-wedge polygons in permafrost. Geol. Soc. Spec. Pap. 1962, 70:1-66. 10.1130/SPE70-p1GSA.
46. Lachenbruch A.H., Thompson G.A. Oceanic ridges and transform faults: their intersection angles and resistance to plate motion. Earth Planet. Sci. Lett. 1972, 15:116-122.
47. Langbein L.B., Leopold W.B. Quasi-equilibrium states in channel morphology. Am. J. Sci. 1964, 262:782-794. 10.2475/ajs.262.6.782.
48. Maillot B., Leroy Y.M. Optimal dip based on dissipation of back thrusts and hinges in fold-and-thrust belts. J. Geophys. Res. 2003, 108:1-17. 10.1029/2002JB002199.
49. Maillot B., Leroy Y.M. Kink-fold onset and development based on the maximum strength theorem. J. Mech. Phys. Solids 2006, 54:2030-2059. 10.1016/j.jmps.2006.04.004.
50. Mary B.C.L., Maillot B., Leroy Y.M. Deterministic Chaos in frictional wedges revealed by convergence analysis. Int. J. Num. Anal. Methods Geomech. 2013, 37. 10.1002/nag.2177.
51. Marone C. Laboratory-derived friction laws and their application to seismic faulting. Annu. Rev. Earth Planet. Sci. 1998, 26:643-696. 10.1146/annurev.earth.26.1.643.
52. Marshall S.T., Kattenhorn S.A., Cooke M.L. Secondary normal faulting in the Lake Mead fault system and implications for regional fault mechanics. Miocene Tectonics of the Lake Mead Region, Central Basin and Range: Geological Society of America Special Paper 463 2010, 289-310. doi: 10.1130/2010.2463(13). P.J. Umhoefer, L.S. Beard, M.A. Lamb (Eds.).
53. Masek J.G., Duncan C.C. Minimum-work mountain building. J.Geophys. Res. 1998, 103:907-917.
54. Meade B. Revisiting the orogenic energy balance in the western Taiwan orogen with weak faults. Terra Nova 2013, 25:160-164. 10.1111/ter.12022.
55. Melosh H.J., Williams C.A. Mechanics of graben formation in crustal rocks: a finite element analysis. J.Geophys. Res. 1989, 94:13,961-13,973.
56. Mitchell T.M., Faulkner D.R. Experimental measurements of permeability evolution during triaxial compression of initially intact crystalline rocks and implications for fluid flow in fault zones. J.Geophys. Res. 2008, 113. 10.1029/2008JB005588.
57. Mitra G., Boyer S.E. Energy balance and deformation mechanisms of duplexes. J.Struct. Geol. 1986, 8:291-304.
58. Obriemoff J.W. The splitting strength of mica. Proc. Royal Soc. Lond. 1930, 127 A:290-297.
59. Okubo C.H., Schultz R.A. Evolution of damage zone geometry and intensity in porous sandstone: Insight gained from strain energy density. J.Geol. Soc. Lond. 2005, 162:939-949.
60. Olson E., Cooke M.L. Application of three fault growth criteria to the puente Hills thrust system, Los Angeles, California, USA. J.Struct. Geol. 2005, 27:1765-1777.
61. Peltzer G., Saucier F. Present-day kinematics of Asia derived from geologic fault rates. J.Geophys. Res. 1996, 101:27943-27956. 10.1029/96JB02698.
62. Pittarello L., Di Toro G., Bizzarri A., Pennacchioni G., Hadizadeh J., Cocco M. Energy partitioning during seismic slip in pseudotachylyte-bearing faults (Gole Larghe Fault, Adamello, Italy). Earth Planet. Sci. Lett. 2008, 269:131-139. 10.1016/j.epsl.2008.01.052.
63. Plesch A., Shaw J.H., Kronman D. Mechanics of low-relief detachment folding in the Bajiaochang Field, Sichuan Basin, China. AAPG Bull. 2007, 91(11):1559-1575.
64. Pollard D., Aydin A. Progress in understanding jointing over the past century. Geol. Soc. Am. Bull. 1988, 100:1181-1204.
65. Reches Z. Faulting of rocks in three-dimensional strain fields II. Theoretical analysis. Tectonophysics 1983, 95:133-156.
66. Regenauer-Lieb K., Weinberg R.F., Rosenbaum G. The effect of energy feedbacks on continental strength,. Nature 2006, 442. 10.1038/nature04868.
67. Savage H.M., Cooke M.L. Unlocking the effects of friction on fault damage zones. J.Struct. Geol. 2010, 1732-1741. 10.1016/j.jsg.2009.08.014.
68. Saucier F., Humphreys E. Horizontal Crustal Deformation in Southern California from Joint Models of Geologic and Very Long Baseline Interferometry Measurements. Contributions of Space Geodesy to Geodynamics: Crustal Dynamics 1993, 139-176.
69. Savage H.M., Polissar P.J., Sheppard R., Rowe C.D., Brodsky E.E. Biomarkers heat up during earthquakes: new evidence of seismic slip in the rock record. Geology 2014, 2:99-102.
70. Scholz C.H. The Mechanics of Earthquakes and Faulting 2002, Cambridge, University Press. second ed.
71. Shackleton J.R., Cooke M.L., Seed G., Gibbs A. Three-dimensional Modelling of Sant Corneli Anticline (Spain) Using a Hybrid-Geometric/Geomechanical Approach 2009, 2009, AAPG Annual Convention and Exhibition, Denver, Colorado.
72. Sleep N.H., Stein S., Geller R.J., Gordon R.G. Comment on ''The use of the minimum-dissipation principle in tectonophysics'' by P. Bird and D. A. Yuen. Earth Planet. Sci. Lett. 1979, 45:218-220.
73. Souloumiac P., Leroy Y.M., Maillot B., Krabbenhøft K. Predicting stress distributions in fold-and-thrust belts and accretionary wedges by optimization. J. Geophys. Res. 2009, 114. 10.1029/2008JB005986.
74. Souloumiac P., Krabbenhøft K., Leroy Y.M., Maillot B. Failure in accretionary wedges with the maximum strength theorem: numerical algorithm and 2D validation. Comput. Geosci 2010, 14:793-811. 10.1007/s10596-010-9184-4.
75. Stein S. Amodel for the relation between spreading rate and oblique spreading. Earth Planet. Sci. Lett. 1978, 39:313-318.
76. Timoshenko S.P., Goodier J.N. Theory of Elasticity 1951, 2nd ed., McGraw-Hill, New York.
77. Townend J., Sutherland R., Toy V. Deep Fault Drilling Project - Apine Fault, New Zealand. Scientific Drilling 2009, 8. 10.2204/iodp.sd.8.12.2009.
78. Wilson B., Dewers T., Reches Z., Brune J. Particle size and energetics of gouge from earthquake rupture zones. Nature 2005, 434:749-752.
79. Wong T.F. Shear fracture energy of Westerly granite from post failure behavior. J.Geophys. Res. 1982, 87:990-1000.
80. Wong T.F. On the normal stress dependence of the shear fracture energy. Earthquake Source Mechanics, Geophysics Monograph Series, 37 1986, 1-12. AGU, Washington, D. C. S. Das, J. Boatwright, C.H. Scholz (Eds.).
81. Yagupsky D.L., Brooks B.A., Whipple K.X., Duncan C.C., Bevis M. Distribution of active faulting along orogenic wedges: minimum-work models and natural analogue. J. Struct. Geol 2014, 10.1016/j.jsg.2014.05.025.