General expressions for internal deformation due to a moment tensor in an elastic/viscoelastic multilayered half-space

Geophysical Journal International

Volumn 175, Issue 3, 2008, Pages 992-1012

  Hashima, Akinori ^a   Takada, Youichiro ^b   Fukahata, Yukitoshi ^a   Matsu'ura, Mitsuhiro ^a  

^a UNIVERSITY OF TOKYO   (Japan)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Elasticity and anelasticity; Kinematics of crustal and mantle deformation; Mechanics,theory, and modelling; Mid ocean ridge processes; Transient deformation

Indexed keywords

COORDINATE; CRUSTAL DEFORMATION; DISPLACEMENT; ELASTICITY; HALF SPACE; KINEMATICS; MANTLE PROCESS; MID-OCEAN RIDGE; MOMENT TENSOR; SEISMIC SOURCE; TRANSFORM; TRANSFORM FAULT; VISCOELASTICITY;

EID: 57049171003     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2008.03837.x     Document Type: Article

References (67)

1. Aki, K. & Richards, P.G., 1980. Quantitative Seismology: Theory and Methods, W.H. Freeman & Co., New York.
2. Backus, G. & Mulcahy, M., 1976a. Moment tensors and other phenomenological descriptions of seismic sources -I. Continuous displacements, Geophys. J. R. astr. Soc., 46, 341-361.
3. Backus, G. & Mulcahy, M., 1976b. Moment tensors and other phenomenological descriptions of seismic sources - II. Discontinuous displacements, Geophys. J. R. astr. Soc., 47, 301-329.
4. Ben-Menahem, A. & Singh, S.J., 1968a. Eigenvector expansion of Green's dyads with applications to geophysical theory, Geophys. J. R, astr. Soc., 16, 417-452.
5. Ben-Menahem, A. & Singh, S.J., 1968b. Multipolar elastic fields in a layered half space, Bull. seism. Soc. Am., 58, 1519-1572.
6. Chinnery, M.A., 1961. The deformation of ground around surface faults, Bull. seism. Soc. Am., 51, 355-372.
7. Chinnery, M.A., 1963. The stress changes that accompany strike-slip faulting, Bull. seism. Soc. Am., 53, 921-932.
8. Fernández, J. & Rundle, J.B., 1994. Gravity changes and deformation due to a magmatic intrusion in a two-layered crustal model, J. geophys. Res., 99, 2737-2746.
9. Fernández, J., Tiampo, K.F. & Rundle, J.B., 2001. Viscoelastic displacement and gravity changes due to point magmatic intrusions in a gravitational layered solid earth, Geophys. J. Int., 146, 155-170.
10. Folch, A., Fernández, J., Rundle, J.B. & Martí, J., 2000. Ground deformation in a viscoelastic medium composed of a layer overlying a half-space: A comparison between point and extended sources, Geophys. J. Int., 140, 37-50.
11. Foulger, G.R., Jahn, C.-H., Seeber, G., Einarsson, P., Julian, B.R. & Heki, K., 1992. Post-rifting stress relaxation at the divergent plate boundary in Northeast Iceland, Nature, 358, 488-490.
12. Fukahata, Y. & Matsu'ura, M., 2005. General expressions for internal deformation fields due to a dislocation source in a multilayered elastic half-space, Geophys. J. Int., 161, 507-521.
13. Fukahata, Y. & Matsu'ura, M., 2006. Quasi-static internal deformation due to a dislocation source in a multilayered elastic/ viscoelastic half-space and an equivalence theorem, Geophys. J. Int., 166, 418-434.
14. Hashimoto, C. & Matsu'ura, M., 2000. 3-D physical modeling of stress accumulation and release processes at transcurrent plate boundaries, Pure appl. Geophys., 157, 2125-2147.
15. Hashimoto, C., Fukui, K. & Matsu'ura, M., 2004. 3-D modeling of plate interfaces and numerical simulation of long-term crustal deformation in and around Japan, Pure appl. Geophys., 161, 2053-2068.
16. Haskell, N.A., 1953. The dispersion of surface waves on a multilayered medium, Bull. seism. Soc. Am., 43, 17-34.
17. He, Y.-M., Wang, W.-M. & Yao, Z.-X., 2003a. Static deformation due to shear and tensile faults in a layered half-space, Bull. seism. Soc. Am., 93, 2253-2263.
18. He, Y.-M., Wang, W.-M. & Yao, Z.-X., 2003b. Static displacement due to seismic moment tensor sources in a layered half-space, Chin. Phys. Lett., 20, 1397-1400.
19. Hofton, M.A. & Foulger, G.R., 1996. Postrifting anelastic deformation around the spreading plate boundary, north Iceland 2. Implications of the model derived from the 1987-1992 deformation field, J. geophys. Res., 101, 25423-25436.
20. Hofton, M.A., Rundle, J.B. & Foulger, G.R., 1995. Horizontal surface deformation due to dike emplacement in an elastic-gravitational layer overlying a viscoelastic-gravitational half-space, J. geophys. Res., 100, 6329-6338.
21. Iwasaki, T. & Matsu'ura, M., 1981. Quasi-static strain and tilt due to faulting in a layered half-space with an intervenient viscoelastic layer, J. Phys. Earth, 29, 499-518.
22. Iwasaki, T. & Matsu'ura, M., 1982. Quasi-static crustal deformations due to a surface load: Rheological structure of the Earth's crust and upper mantle, J. Phys. Earth, 30, 469-508.
23. Iwasaki, T. & Sato, R., 1979. Strain field in a semi-infinite medium due to an inclined rectangular fault, J. Phys. Earth, 27, 285-314.
24. Jovanovich, D.B., Husseini, M.I. & Chinnery, M.A., 1974a. Elastic dislocations in a layered half-space - I. Basic theory and numerical methods, Geophys. J. R. astr. Soc., 39, 205-217.
25. Jovanovich, D.B., Husseini, M.I. & Chinnery, M.A., 1974b. Elastic dislocations in a layered half-space - II. The point source, Geophys. J. R. astr. Soc., 39, 219-239.
26. Kennett, B.L.N., 1983. Seismic Wave Propagation in Stratified Media, Cambridge University Press, Cambridge.
27. Lee, E.H., 1955. Stress analysis in visco-elastic bodies, Q. Appl. Math., 13, 183-190.
28. Ma, X.Q. & Kusznir, N.J., 1992. 3-D subsurface displacement and strain fields for faults and fault arrays in a layered elastic half space, Geophys. J. Int., 111, 542-558.
29. Mansinha, L. & Smylie, D.E., 1971. The displacement fields of inclined faults, Bull. seism. Soc. Am., 61, 1433-1440.
30. Maruyama, T., 1964. Statical elastic dislocations in an infinite and semi-infinite medium, Bull. Earthq. Res. Inst., Univ. Tokyo, 42, 289-368.
31. Matsu'ura, M. & Iwasaki, T., 1983. Study on coseismic and postseismic crustal movements associated with the 1923 Kanto earthquake, Tectonophysics, 97, 201-215.
32. Matsu'ura, M. & Sato, R., 1975. Static deformations due to the fault spreading over several layers in a multi-layered medium. Part II: Strain and tilt, J. Phys. Earth, 23, 1-29.
33. Matsu'ura, M. & Sato, T., 1989. A dislocation model for the earthquake cycle at convergent plate boundaries, Geophys. J. Int., 96, 23-32.
34. Matsu'ura, M. & Sato T., 1997. Loading mechanism and scaling relations of large interplate earthquakes, Tectonophysics, 277, 189-198.
35. Matsu'ura, M. & Tanimoto, T., 1980. Quasi-static deformations due to an inclined, rectangular fault in a viscoelastic half-space, J. Phys. Earth, 28, 103-118.
36. Matsu'ura, M., Tanimoto, T. & Iwasaki, T., 1981. Quasi-static displacements due to faulting in a layered half-space with an intervenient viscoelastic layer, J. Phys. Earth, 29, 23-54.
37. McConnell, R.K., 1965. Isostatic adjustment in a layered Earth, J. geophys. Res., 20, 5171-5188.
38. Nur, A. & Mavko, G., 1974. Postseismic viscoelastic rebound, Science, 183, 204-206.
39. Okada, Y., 1992. Internal deformation due to shear and tensile faults in a half-space, Bull. seism. Soc. Am., 82, 1018-1040.
40. Pan, E., 1997. Static Green's functions in multilayered half spaces, Appl. Math. Modell., 21, 509-521.
41. Press, F., 1965. Displacements, strains and tilts at teleseismic distances, J. geophys. Res., 70, 2395-2412.
42. Radok, J.R.M., 1957. Visco-elastic stress analysis, Q. Appl. Math., 15, 198-202.
43. Roth, F., 1990. Subsurface deformations in a layered elastic half-space, Geophys. J. Int., 103, 147-155.
44. Roth, F., 1993. Deformations in a layered crust due to a system of cracks-modeling the effect of dike injections or dilatancy, J. geophys. Res., 98, 4543-4551.
45. Rundle, J.B., 1978. Viscoelastic crustal deformation by finite quasi-static sources, J. geophys. Res., 83, 5937-5945.
46. Rundle, J.B., 1980. Static elastic-gravitational deformation of a layered half-space by point couple sources, J. geophys. Res., 85, 5355-5363.
47. Rundle, J.B., 1982a. Viscoelastic-gravitational deformation by a rectangular thrust fault in a layered earth, J. geophys. Res., 87, 7787-7796.
48. Rundle, J.B., 1982b. Deformation, gravity, and potential changes due to volcanic loading of the crust, J. geophys. Res., 87, 10 729-10 744.
49. Sato, R., 1971. Crustal deformation due to dislocation in a multi-layered medium, J. Phys. Earth, 19, 31-46.
50. Sato, R. & Matsu'ura, M., 1973. Static deformations due to the fault spreading over several layers in a multi-layered medium. Part I: Displacement, J. Phys. Earth, 21, 227-249.
51. Sato, R. & Matsu'ura, M., 1974. Strains and tilts on the surface of a semi-infinite medium, J. Phys. Earth, 22, 213-221.
52. Sato, T. & Matsu'ura, M., 1992. Cyclic crustal movement, steady uplift of marine terraces, and evolution of the island arc-trench system in southwest Japan, Geophys. J. Int., 111, 617-629.
53. Sato, T. & Matsu'ura, M., 1993. A kinematic model for evoluiton of island arc-trench systems, Geophys. J. Int., 114, 512-530.
54. Savage, J.C. & Hastie, L.M., 1966. Surface deformation associated with dip-slip faulting, J. geophys. Res., 71, 4897-4904.
55. Savage, J.C. & Prescott, W.H., 1978. Asthenosphere readjustment and earthquake cycle, J. geophys. Res., 83, 3369-3376.
56. Singh, S.J., 1970. Static deformation of a multilayered half-space by internal sources, J. geophys. Res., 75, 3257-3263.
57. Steketee, J.A., 1958a. On Volterra's dislocations in a semi-infinite elastic medium, Can. J. Phys., 36, 192-205.
58. Steketee, J.A., 1958b. Some geophysical application of the elasticity theory of dislocations, Can. J. Phys., 36, 1168-1198.
59. Stokes, G.G., 1849. On the dynamical theory of diffraction, Trans. Camb. Phil. Soc., 9, 1.
60. Takeuchi, H., 1959. General solutions of equations of some geophysical importance, Bull. seism. Soc. Am., 49, 273-283.
61. Thatcher W. & Rundle, J.B., 1979. A model for the earthquake cycle in underthrust zones, J. geophys. Res., 84, 5540-5556.
62. Thatcher, W. & Rundle, J.B., 1984. A viscoelastic coupling model for the cyclic deformation due to periodically repeated earthquakes at subduction zones, J. geophys. Res., 89, 7631-7640.
63. Thomson, W.T., 1950. Transmission of elastic waves through a stratified medium, J. Appl. Phys., 21, 89-93.
64. Wang, R., 1999. A simple orthonormalization method for stable and efficient computation of Green's functions, Bull. seism. Soc. Am., 89, 733-741.
65. Wang, R., Lorenzo-Martín, F. & Roth, F., 2006. PSGRN/PSCMP-a new code for calculating co- and post-seismic deformation, geoid and gravity changes based on the viscoelastic-gravitational dislocation theory, Comput. Geosci., 32, 527-541.
66. Xie, X.-B. & Yao, Z.-X., 1989. A generalized reflection-transmission coefficient matrix method to calculate static displacement field of a stratified half-space by dislocation source, Chinese J. Geophys., 32, 270-280.
67. Zhu, L. & Rivera, L.A., 2002. A note on the dynamic and static displacements from a point source in multilayered media, Geophys. J. Int., 148, 619-627.