Elastoviscoplastic relaxation of impact crater topography with application to Ganymede and Callisto

Journal of Geophysical Research: Planets

Volumn 111, Issue 1, 2006, Pages

  Dombard, Andrew J ^a,b   McKinnon, William B ^a  

^a WASHINGTON UNIVERSITY   (United States)

^b JOHNS HOPKINS UNIVERSITY APPLIED PHYSICS LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CALLISTO; GANYMEDE; IMPACT STRUCTURE;

EID: 33645112193     PISSN: 01480227     EISSN: None     Source Type: Journal    
DOI: 10.1029/2005JE002445     Document Type: Article

References (78)

1. Akin, J. E. (1994), Finite Elements for Analysis and Design, 548 pp., Elsevier, New York.
2. Albert, R. A., R. J. Phillips, A. J. Dombard, and C. D. Brown (2000), A test of the validity of yield strength envelopes with an elastoviscoplastic finite element model, Geophys. J. Int., 140, 399-409.
3. Artemieva, N., and J. I. Lunine (2005), Impact cratering on Titan II: Global melt, escaping ejecta, and aqueous alteration of surface organics, Icarus, 175, 522-533.
4. Beeman, M., W. B. Durham, and S. H. Kirby (1988), Friction of ice, J. Geophys. Res., 93, 7625-7633.
5. Brennen, C. (1974), Isostatic recovery and the strain rate dependent viscosity of the Earth's mantle, J. Geophys. Res., 79, 3993-4001.
6. Brown, C. D., and R. E. Grimm (1996), Floor subsidence and rebound of large Venus craters, J. Geophys. Res., 101, 26,057-26,068.
7. Byerlee, J. D. (1978), Friction of rocks, Pure Appl. Geophys., 116, 615-626.
8. Dombard, A. J., and A. M. Freed (2002), Thermally induced lineations on the asteroid Eros: Evidence of orbit transfer, Geophys. Res. Lett., 29(16), 1818, doi:10.1029/2002GL015181.
9. Dombard, A. J., and J. J. Gillis (2001), Testing the viability of topographic relaxation as a mechanism for the formation of lunar floor-fractured craters, J. Geophys. Res., 106, 27,901-27,910.
10. Dombard, A. J., and W. B. McKinnon (2000), Long-term retention of impact crater topography on Ganymede, Geophys. Res. Lett., 27, 3663-3666.
11. Dombard, A. J., and W. B. McKinnon (2001), Formation of grooved terrain on Ganymede: Extensional instability mediated by cold, superplastic creep, Icarus, 154, 321-336.
12. Dombard, A. J., and W. B. McKinnon (2006), Folding of Europa's icy lithosphere: An analysis of viscous-plastic buckling and subsequent topographic relaxation, J. Struct. Geol., in press.
13. Durham, W. B., S. H. Kirby, and L. A. Stern (1992), Effects of dispersed particulates on the rheology of water ice at planetary conditions, J. Geophys. Res., 97, 20,883-20,897.
14. Durham, W. B., S. H. Kirby, and L. A. Stern (1993), Flow of ices in the ammonia-water system, J. Geophys. Res., 98, 17,667-17,682.
15. Durham, W. B., S. H. Kirby, and L. A. Stern (1997), Creep of water ices at planetary conditions: A compilation, J. Geophys. Res., 102, 16,293-16,302.
16. Durham, W. B., L. A. Stern, and S. H. Kirby (2001), Rheology of ice I at low stress and elevated confining pressure, J. Geophys. Res., 106, 11,031-11,042.
17. Gammon, P. H., H. Kiefte, and M. J. Clouter (1983), Elastic constants of ice samples by Brillouin spectroscopy, J. Phys. Chem., 87, 4025-4029.
18. Goldsby, D. L., and D. L. Kohlstedt (1997), Grain boundary sliding in fine-grained ice I, Scr. Mater, 37, 1399-1406.
19. Goldsby, D. L., and D. L. Kohlstedt (2001), Superplastic deformation of ice: Experimental observations, J. Geophys. Res., 106, 11,017-11,030.
20. Grimm, R. E., and S. C. Solomon (1988), Viscous relaxation of impact crater relief on Venus: Constraints on crustal thickness and thermal gradient, J. Geophys. Res., 93, 11,911-11,929.
21. Herrick, D. L., and D. J. Stevenson (1990), Extensional and compressional instabilities in icy satellite lithospheres, Icarus, 85, 191-204.
22. 2-rich impact craters on Callisto, J. Geophys. Res., 107(E10), 5084, doi:10.1029/2000JE001412.
23. Hibbitts, C. A., R. T. Pappalardo, G. B. Hansen, and T. B. McCord (2003), Carbon dioxide on Ganymede, J. Geophys. Res., 108(E5), 5036, doi:10.1029/2002JE001956.
24. Hillgren, V. J., and H. J. Melosh (1989), Crater relaxation of Ganymede: Implications for ice theology, Geophys. Res. Lett., 16, 1339-1342.
25. Hughes, T. J. R. (1987), The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, 803 pp., Prentice-Hall, Upper Saddle River, N. J.
26. Jaeger, J. C., and N. G. W. Cook (1979), Fundamentals of Rock Mechanics, 593 pp., CRC Press, Boca Raton, Fla.
27. Johnson, T. V., and T. R. McGetchin (1973), Topography on satellite surfaces and the shape of asteroids, Icarus, 18, 612-620.
28. Jones, K. B., J. W. Head III, R. T. Pappalardo, and J. M. Moore (2003), Morphology and origin of palimpsests on Ganymede based on Galileo observations, Icarus, 164, 197-212.
29. Khurana, K. K., M. G. Kivelson, D. J. Stevenson, G. Schubert, C. T. Russell, R. J. Walker, and C. Polanskey(1998), Induced magnetic fields as evidence for subsurface oceans in Europa and Callisto, Nature, 395, 777-780.
30. h at low temperatures and high pressures, J. Phys., 48, supplement, 227-232.
31. Kirk, R. L., and D. J. Stevenson (1987), Thermal evolution of a differentiated Ganymede and implications for surface features, Icarus, 69, 91-134.
32. Kivelson, M. G., K. K. Khurana, and M. Volwerk (2002), The permanent and inductive magnetic moments of Ganymede, Icarus, 157, 507-522.
33. Klinger, J. (1980), Influence of a phase transition of ice on the heat and mass balance of comets, Science, 209, 271-272.
34. Kohlstedt, D. L., B. Evans, and S. J. Mackwell (1995), Strength of the lithosphere: Constraints imposed by laboratory experiments, J. Geophys. Res., 100, 17,587-17,602.
35. Levison, H. F., M. J. Duncan, K. Zahnle, M. Holman, and L. Dones (2000), Planetary impact rates from ecliptic comets, Icarus, 143, 415-420.
36. Malvern, L. E. (1969), Introduction to the Mechanics of a Continuous Medium, 713 pp., Prentice-Hall, Upper Saddle River, N. J.
37. Mancktelow, N. S. (1999), Finite-element modelling of single-layer folding in elasto-viscous materials: The effect of initial perturbation geometry, J. Struct. Geol., 21, 161-177.
38. McKinnon, W. B. (1998), Geodynamics of icy satellites, in Solar System Ices, edited by B. Schmitt, C. de Bergh, and M. Festou, pp. 525-550, Springer, New York.
39. McKinnon, W. B. (2006), On convection in ice I shells of outer solar system bodies, with detailed application to Callisto, Icarus, in press.
40. McKinnon, W. B., and E. M. Parmentier (1986), Ganymede and Callisto, in Satellites, edited by J. A. Burns and M. S. Matthews, pp. 718-763, Univ. of Ariz. Press, Tucson.
41. Melosh, H. J. (1976), On the origin of fractures radial to lunar basins, Proc. Lunar Sci. Conf., 7th, 2967-2982.
42. Melosh, H. J. (1989), Impact Cratering: A Geologic Process, 245 pp., Oxford Univ. Press, New York.
43. Melosh, H. J., and A. Raefsky (1980), The dynamical origin of subduction zone topography, Geophys. J. R. Astron. Soc., 60, 333-354.
44. Moore, J. M., et al. (1999), Mass movement and landform degradation on the icy Galilean satellites: Results of the Galileo nominal mission, Icarus, 140, 294-312.
45. Moore, J. M., et al. (2004), Callisto, in Jupiter: The Planet, Satellites, and Magnetosphere, edited by F. Bagenal, T. E. Dowling, and W. B. McKinnon, pp. 397-426, Cambridge Univ. Press, New York.
46. Mueller, S., and W. B. McKinnon (1988), Three-layered models of Ganymede and Callisto: Compositions, structures, and aspects of evolution, Icarus, 76, 437-464.
47. Nimmo, F., and R. T. Pappalardo (2004), Furrow flexure and ancient heat flux on Ganymede, Geophys. Res. Lett., 31, L19701, doi:10.1029/ 2004GL020763.
48. Nimmo, F., R. T. Pappalardo, and B. Giese (2002), Effective elastic thickness and heat flux estimates on Ganymede, Geophys. Res. Lett., 29(7), 1158, doi:10.1029/2001GL013976.
49. Pappalardo, R. T., G. C. Collins, J. W. Head III, P. Helfenstein, T. B. McCord, J. M. Moore, L. M. Prockter, P. M. Schenk, and J. R. Spencer (2004), Geology of Ganymede, in Jupiter: The Planet, Satellites, and Magnetosphere, edited by F. Bagenal, T. E. Dowling, and W. B. McKinnon, pp. 363-396, Cambridge Univ. Press, New York.
50. Parmentier, E. M., and J. W. Head (1981), Viscous relaxation of impact craters on icy planetary surfaces: Determination of viscosity variation with depth, Icarus, 47, 100-111.
51. Passey, Q. R. (1982), Viscosity structure of the lithospheres of Ganymede, Callisto, and Enceladus, and of the Earth's mantle, Ph.D. thesis, Calif. Inst. of Technol., Pasadena.
52. Passey, Q. R., and E. M. Shoemaker (1982), Craters and basins on Ganymede and Callisto morphological indicators of crustal evolution, in Satellites of Jupiter, edited by D. Morrison and M. S. Matthews, pp. 379-434, Univ. of Ariz. Press, Tucson.
53. Phillips, R. J., and M. C. Malin (1980), Ganymede: A relationship between thermal history and crater statistics, Science, 210, 185-188.
54. Ranalli, G. (1995), Rheology of the Earth, 432 pp., CRC Press, Boca Raton, Fla.
55. Schenk, P. M. (1991), Ganymede and Callisto: Complex crater formation and planetary crusts, J. Geophys. Res., 96, 15,635-15,664.
56. Schenk, P. M. (1993), Central pit and domes craters: Exposing the interiors of Ganymede and Callisto, J. Geophys. Res., 98, 7475-7498.
57. Schenk, P. M. (2002), Thickness constraints on the icy shells of the Galilean satellites from a comparison of crater shapes, Nature, 417, 419-421.
58. Schenk, P. M., and F. J. Ridolfi (2002), Morphology and scaling of ejecta deposits on icy satellites, Geophys. Res. Lett., 29(12), 1590, doi:10.1029/2001GL013512.
59. Schenk, P. M., W. B. McKinnon, D. Gwynn, and J. M. Moore (2001), Flooding of Ganymede's bright terrains by low-viscosity, water-ice lavas, Nature, 410, 57-60.
60. Schenk, P. M., C. R. Chapman, K. Zahnle, and J. M. Moore (2004), Ages and interior: The cratering record of the Galilean satellites, in Jupiter: The Planet, Satellites, and Magnetosphere, edited by F. Bagenal, T. E. Dowling, and W. B. McKinnon, pp. 427-456, Cambridge Univ. Press, New York.
61. Schmeling, H. (1987), On the interaction between small- and large-scale convection and post-glacial rebound flow in a power-law mantle, Earth Planet. Sci. Lett., 84, 254-262.
62. Schultz, P. H. (1976), Floor-fractured lunar craters, Moon, 15, 241-273.
63. Scott, R. F. (1967), Viscous flow of craters, Icarus, 7, 139-148.
64. Shoemaker, E. M., B. K. Lucchitta, D. E. Wilhelms, J. B. Plescia, and S. W. Squyres (1982), The geology of Ganymede, in Satellites of Jupiter, edited by D. Morrison and M. S. Matthews, pp. 435-520, Univ. of Ariz. Press, Tucson.
65. Showman, A. P., and R. Malhotra (1999), The Galilean satellites, Science, 286, 77-84.
66. Showman, A. P., D. J. Stevenson, and R. Malhotra (1997), Coupled orbital and thermal evolution of Ganymede, Icarus, 129, 367-383.
67. Solomon, S. C., R. P. Comer, and J. W. Head (1982), The evolution of impact basins: Viscous relaxation of topographic relief, J. Geophys. Res., 87, 3975-3992.
68. Souchez, R. A., and R. D. Lorrain (1991), Ice Composition and Glacier Dynamics, 207 pp., Springer, New York.
69. Szabó, B., and I. Babuška (1991), Finite Element Analysis, 368 pp., John Wiley, Hoboken, N. J.
70. Thomas, P. J., and G. Schubert (1986), Crater relaxation as a probe of Europa's interior, J. Geophys. Res., 91, 453-459.
71. Thomas, P. J., and G. Schubert (1987), Finite element models of non-Newtonian crater relaxation, J. Geophys. Res., 92, 749-758.
72. Thomas, P. J., and G. Schubert (1988), Power law rheology of ice and the relaxation style and retention of craters on Ganymede, J. Geophys. Res., 93, 13,755-13,762.
73. Turcotte, D. L., and G. Schubert (1982), Geodynamics: Applications of Continuum Physics to Geological Problems, 450 pp., John Wiley, Hoboken, N. J.
74. Twiss, R. J., and E. M. Moores (1992), Structural Geology, 532 pp., W. H. Freeman, San Francisco, Calif.
75. Zahnle, K., L. Dones, and H. F. Levison (1998), Cratering rates on the Galilean satellites, Icarus, 136, 202-222.
76. Zahnle, K., P. Schenk, H. Levison, and L. Dones (2003), Cratering rates in the outer solar system, Icarus, 163, 263-289.
77. Zhong, S., and M. T. Zuber (2000), Long-wavelength topographic relaxation for self-gravitating planets and implications for the time-dependent compensation of surface topography, J. Geophys. Res., 105, 4153-4164.
78. Zienkiewicz, O. C., and R. L. Taylor (1989), The Finite Element Method, 807 pp., McGraw-Hill, New York.