Three-dimensional models of elastostatic deformation in heterogeneous media, with applications to the eastern california shear zone

Geophysical Journal International

Volumn 179, Issue 1, 2009, Pages 500-520

  Barbot, Sylvain ^a   Fialko, Yuri ^a   Sandwell, David ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Crustal structure; Fault zone rheology; Mechanics, theory, and modelling; Numerical solutions; Radar interferometry

Indexed keywords

COSEISMIC PROCESS; CRUSTAL STRUCTURE; DEFORMATION; DISPLACEMENT; ELASTIC PROPERTY; ELASTOPLASTICITY; FAULT ZONE; GREEN FUNCTION; HALF SPACE; HETEROGENEOUS MEDIUM; POISSON RATIO; RADAR INTERFEROMETRY; SHEAR ZONE; THREE-DIMENSIONAL MODELING;

CALIFORNIA; NORTH AMERICA; UNITED STATES;

LOESELIASTRUM;

EID: 70349707175     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2009.04194.x     Document Type: Article

References (84)

1. Aki K, Richards PG. Quantitative Seismology 1980, Vol. I. W.H. Freeman and Company, New York
2. Ambraseys N. Some characteristic features of the North Anatolian fault zone. Tectonophysics 1970, 9:143-165.
3. Backus G, Mulcahy M. Moment tensors and other phenomenological descriptions of seismic sources-I. Continuous displacements. Geophys. J. R. astr. Soc. 1976a, 46:341-361.
4. Backus G, Mulcahy M. Moment tensors and other phenomenological descriptions of seismic sources-II. Discontinuous displacements. Geophys. J. R. astr. Soc. 1976b, 47:301-329.
5. Barbot S, Fialko Y, Sandwell D. Effect of a compliant fault zone on the inferred earthquake slip distribution. J. geophys. Res. 2008, 113:B06404. doi
6. Barbot S, Fialko Y, Bock Y. Postseismic deformation due to the Mw 6.0 2004 parkfield earthquake: stress-driven creep on a fault with spatially variable rate-and-state friction parameters. J. geophys. Res. 2009, doi
7. Ben-Zion Y. A shallow fault-zone structure illuminated by trapped waves in the Karadere-Duzce branch of the North Anatolian Fault, western Turkey. Geophys. J. Int. 2003, 152:699-699.
8. Bender CM, Orszag SA. Advanced Mathematical Methods for Scientists and Engineers 1978, McGraw-Hill, New York
9. Bracewell R. The Fourier Transform and its Applications, Electrical and Computer Engineering 2003, 3rd edn, Tata McGraw-Hill, New York
10. Brown CM, Dreyer W, Müller WH. The convergence of a DFT-algorithm for solution of stress-strain problems in composite mechanics. J. Eng. Math. Tech 2003, 125:27-37.
11. Burridge R, Knopoff L. Body force equivalents for seismic dislocations. Bull. seism. Soc. Am. 1964, 54(6):1875-1888.
12. Chen Q, Freymueller J. Geodetic evidence for a near-fault compliant zone along the San Andreas fault in the San Francisco Bay area. Bull. seism. Soc. Am. 2002, 92:656-671.
13. Chester JS, Chester FM, Kronenberg AK. Fracture surface energy of the Punchbowl fault, San Andreas system. Nature 2005, 437:133-136.
14. Cochran ES, Radiguet M, Shearer PM, Li Y-G, Fialko Y, Vidale JE. Seismic imaging of the damage zone around the Calico Fault. EOS, Trans. Am. geophys. Un. 2006, 87(52).
15. Cochran Y, Li Y-G, Shearer P, Barbot S, Fialko Y, Vidale J. Seismic and geodetic evidence for extensive, long-lived fault damage zones. Geology 2009, 37(4):315-318.
16. Delves L, Mohamed J. Computational Methods for Integral Equations 1985, 373 pp. Cambridge Univ. Press, New York
17. Dieterich J, Smith DE. Rate-state modeling of stress relaxation in geometrically complex fault systems. Fall Meet. Suppl. 2007, 88(52). pp. abstract S13B-1308
18. Dokka RK, Travis CJ. Late cenozoic strike-slip faulting in the Mojave Desert, California. Tectonics 1990a, 9(2):311-340.
19. Dokka RK, Travis CJ. Role of the Eastern California Shear Zone in accommodation Pacific-North American plate motion. Geophys. Res. Lett. 1990b, 17(9):1323-1226.
20. Du Y, Segall P, Gao H. Dislocations in inhomogeneous media via a moduli perturbation approach: general formulation and two-dimensional solutions. J. geophys. Res. 1994, 99(B7):13 767-13 779.
21. Du Y, Segall P, Gao H. Quasi-static dislocations in three-dimensional inhomogeneous media. Geophys. Res. Lett. 1997, 24(18):2347-2350.
22. Eshelby JD. The determination of the elastic field of an ellipsiodal inclusion, and related problems. Proc. R. Soc. Lond. A 1957, 241(1226):376-396.
23. Farid H, Simoncelli E. Differentiation of discrete multidimensional signals. IEEE Trans. Im. Proc. 2004, 13(4):496-508.
24. Fialko Y. Probing the mechanical properties of seismically active crust with space geodesy: study of the co-seismic deformation due to the 1992 Mw7.3 Landers (Southern California) earthquake. J. geophys. Res. 2004, 109:B03307. doi
25. Fialko Y, Schubert G. Fracture and frictional mechanics-theory. Treatise on Geophysics 2007, Vol. 4:83-106. in, pp, ed., Elsevier Ltd., Oxford
26. Fialko Y, Khazan Y, Simons M. Deformation due to a pressurized horizontal circular crack in an elastic half-space, with applications to volcano geodesy. Geophys. J. Int. 2001a, 146:181-190.
27. Fialko Y, Simons M, Agnew D. The complete (3-D) surface displacement field in the epicentral area of the 1999 Mw 7.1 Hector Mine earthquake, southern California, from space geodetic observations. Geophys. Res. Lett. 2001b, 28:3063-3066.
28. Fialko Y, Sandwell D, Agnew D, Simons M, Shearer P, Minster B. Deformation on nearby faults induced by the 1999 Hector Mine earthquake. Science 2002, 297:1858-1862.
29. Gable CW, O'Connell RJ, Travis BJ. Convection in three dimensions with surface plates: generation of toroidal flow. J. geophys. Res. 1991, 96(B5):8391-8405.
30. Golub GH, Van Loan CF. Iterative Methods for Linear Systems, Matrix Computations 1996, 3rd edn, Johns Hopkins Univ. Press, Baltimore, MD
31. Hamiel Y, Fialko Y. Structure and mechanical properties of faults in the North Anatolian Fault system from InSAR observations of coseismic deformation due to the 1999 Izmit (Turkey) earthquake. J. geophys. Res. 2007, 112:B07412. doi
32. Hamiel Y, Liu Y, Lyakhovsky V, Ben-Zion Y, Lockner D. A visco-elastic damage model with applications to stable and unstable fracturing. Geophys. J. Int. 2004, 159:1155-1165.
33. Hauksson E, Jones L, Hutton K. The 1999 Mw 7.1 Hector Mine, California, earthquake sequence: complex conjugate strike-slip faulting. Bull. seism. Soc. Am. 2002, 92:1154-1170.
34. Hearn EH, Fialko Y. Can compliant fault zones be used to measure absolute stresses in the upper crust?. J. geophys. Res. 2009, 114:B04403. doi
35. Hill R. A self-consistent mechanics of composite materials. J. Mech. Phys. Solids 1965, 13:213-222.
36. Jones LE, Helmberger DV. Earthquake source parameters and fault kinematics in the Eastern California Shear Zone. Bull. seism. Soc. Am. 1998, 88(6):1337-1352.
37. Kachanov L. Introduction to Continuum Damage Mechanics 1986, Martinus Nijhoff, Dordrecht
38. Kato T. Perturbation Theory for Linear Operators 1980, Springer-Verlag, New York
39. Lebensohn RA. N-site modelling of a 3D viscoplastic polycrystal using the fast Fourier transform. Acta Mater 2001, 49:2723-2737.
40. Li Y, Vidale J, Aki K, Marone C, Lee W. Fine-structure of the Landers fault zone-segmentation and the rupture process. Science 1994, 265:367-370.
41. Li Y, Aki K, Vidale J, Alvarez M. A delineation of the Nojima fault ruptured in the M7.2 Kobe, Japan, earthquake of 1995 using fault zone trapped waves. J. geophys. Res. 1998a, 103(B4):7247-7263.
42. Li Y, Vidale J, Aki K, Xu F, Burdette T. Evidence of shallow fault zone strengthening after the 1992 M7.5 Landers, California, earthquake. Science 1998b, 279:217-219.
43. Li Y, Aki K, Vidale J, Xu F. Shallow structure of the landers fault zone from explosion-generated trapped waves. J. geophys. Res. 1999, 104:20 257-20 275.
44. Li Y, Vidale J, Aki K, Xu F. Depth-dependent structure of the Landers fault zone from trapped waves generated by aftershocks. J. geophys. Res. 2000, 105:6237-6254.
45. Li YG, Leary PC. Fault zone trapped seismic waves. Bull seism. Soc. Am. 1990, 80:1245-1271.
46. Liu J, Sieh K, Hauksson E. A structural interpretation of the aftershock " Cloud" of the 1992 Mw 7.3 Landers earthquake. Bull. seism. Soc. Am. 2003, 93:1333-1344.
47. Love AEH. A Treatise on the Mathematical Theory of Elasticity 1927, Cambridge University Press, Cambridge, Reprinted in 1944 by Dover Publications, New York
48. Lyakhovsky V, Ben-Zion Y, Agnon A. Earthquake cycle, fault zones, and seismicity patterns in a rheologically layered lithosphere. J. geophys. Res. 2001, 106:4103-4120.
49. Malvern LE. Introduction to the Mechanics of a Continuum Medium 1969, 713 pp. Prentice-Hall, Englewood Cliffs, NJ
50. Manighetti I, King G, Gaudemer Y, Scholz C, Doubre C. Slip accumulation and lateral propagation of active normal faults in Afar. J. geophys. Res. 2001, 106:13 667-13 696.
51. Marone C, Vidale JE, Ellsworth W. Fault healing inferred from the time dependent variations in source properties of repeating earthquakes. Geophys. Res. Lett. 1995, 22:3095-3098.
52. Massonnet D, Rossi M, Carmona C, Adragna F, Peltzer G, Feigl K, Rabaute T. The displacement field of the Landers earthquake mapped by radar interferometry. Nature 1993, 364:138-142.
53. McClellan J, Parks T, Rabiner L. A computer program for designing optimum FIR linear phase digital filters. Audio Electroacoustics, IEEE Trans. 1973, 21(6):506-526.
54. Miller MM, Johnson DJ, Dixon TH, Dokka RK. Refined kinematics of the Eastern California shear zone from GPS observations, 1993-1998. J. geophys. Res. 2001, 106(B2):2245-2264.
55. Mindlin RD. Force at a point in the interior of a semi-infinite solid. J. Appl. Phys. 1936, 7:195-202.
56. Moulinec H, Suquet P. A numerical method for computing the overall response of nonlinear composites with complex microstructure. Comp. Meth. App. Mech. Eng. 1998, 157:69-94.
57. Nemat-Nasser S. Plasticity. A Treatise on Finite Deformation of Heterogeneous Inelastic Materials 2004, Cambridge Monographs on Mechanics, Cambridge University Press, Cambridge
58. Nemat-Nasser S, Hori M. Micromechanics: Overall Properties of Heterogeneous Materials 1999, 2nd edn, Elsevier, Amsterdam
59. Niazy A. An exact solution for a finite, two-dimensional moving dislocation in an elastic half-space with application to the San Fernando earthquake of 1971. Bull. seism. Soc. Am. 1975, 65(6):1797-1826.
60. Oskin M, Iriondo A. Large-magnitude transient strain accumulation on the Blackwater fault, Eastern California shear zone. Geology 2004, 32:313-316.
61. Pollitz FF. Post-seismic relaxation theory on a laterally heterogenous viscoelastic model. Geophys. J. Int. 2003, 155:55-78.
62. Press WH, Teukolsky SA, Vetterling WT, Flannery BP. Numerical Recipes in C: The Art of Scientific Computing 1992, 994. 2nd edn, Cambridge Univ. Press, New York, pp
63. Rice JR, Sammis CG, Parsons R. Off-fault secondary failure induced by a dynamic slip pulse. Bull. seism. Soc. Am. 2005, 95:109-134.
64. Rybicki K. The elastic residual field of a very long strike-slip fault in the presence of a discontinuity. Bull. seism. Soc. Am. 1971, 61(1):79-92.
65. Sandwell D, Sichoix L, Agnew D, Bock Y, Minster J-B. Near real-time radar interferometry of the Mw 7.1 Hector Mine earthquake. Geophys. Res. Lett. 2000, 27:3101-3104.
66. Sandwell DT. Thermomechanical evolution of oceanic fracture zones. J. geophys. Res. 1984, 89:11 401-11 413.
67. Sauber J, Tatcher W, Solomon SC, Lisowski M. Geodetic slip rate for the east California shear zone and the recurrence time of Mojave desert earthquakes. Nature 1994, 367:264-266.
68. Savage J, Nabarro F, Dekker Marcel. Dislocations in seismology. Dislocations Theory: A Treatise 1974, in, ed., New York
69. Savage JC, Lisowski M, Prescott WH. An apparent shear zone trending north-northwest across the Mojave desert into Owens Valley, Eastern California. Geophys. Res. Lett. 1980, 17(12):2113-2116.
70. Scholz CH. Wear and gouge formation in brittle faulting. Geology 1987, 15:493-495.
71. Segall P, Pollard D. Mechnanics of discontinuous faults. J. geophys. Res. 1980, 85:4337-4350.
72. Shearer PM. Introduction to Seismology 1999, Cambridge University Press, New York
73. Sieh K. Near-field investigations of the Landers earthquake sequence. Science 1993, 260:171-176.
74. Simons M, Fialko Y, Rivera L. Coseismic deformation from the 1999 Mw7.1 Hector Mine, California, earthquake, as inferred from InSAR and GPS observations. Bull. seism. Soc. Am. 2002, 92:1390-1402.
75. Steketee JA. On Volterra's dislocations in a semi-infinite elastic medium. Can. J. Phys. 1958a, 36:192-205.
76. Steketee JA. Some geophysical applications of the elasticity theory of dislocations. Can. J. Phys. 1958b, 36:1168-1198.
77. Thurber C, Roecker S, Roberts K, Gold M, Powell L, Rittger K. Earthquake locations and three-dimensional fault zone structure along the creeping section of the San Andreas fault near Parkfield, CA: preparing for SAFOD. Geophys. Res. Lett. 2003, 30:1112.
78. Turcotte D, Newman W, Shcherbakov R. Micro and macroscopic models of rock fracture. Geophys. J. Int. 2003, 152:718-728.
79. Vermilye J, Scholz C. The process zone: a microstructural view of fault growth. J. geophys. Res. 1998, 103:12 223-12 237.
80. Vidale J, Li Y. Damage to the shallow Landers fault from the nearby Hector Mine earthquake. Nature 2003, 421:524-526.
81. Wang R, Martin F, Roth F. Computation of deformation induced by earthquakes in a multi-layered elastic crust-FORTRAN programs EDGRN/EDCMP. Comp. Geosci. 2003, 29:195-207.
82. Weertman J, Weertman JR. Elementary Dislocation Theory 1964, MacMillan, New York
83. Wilson B, Dewers T, Reches Z, Brune J. Particle size and energetics of gouge from earthquake rupture zones. Nature 2004, 434:749-752.
84. Yu P, Hu SY, Chen LQ, Du Q. An iterative-perturbation scheme for treating inhomogeneous elasticity in phase-field models. J. Comp. Phys. 2005, 208:34-50.