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Spectral scaling in Mars topography: effect of craters

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Języki publikacji
EN
Abstrakty
EN
Extensive computer simulations aimed at testing a hypothesis that impact craters may explain the scaling behaviour of surface spectra are presented. The simulations show that indeed crater effects alone may explain the spectral scaling of Mars’ topography revealed from MOLA data. The range of the scaling exponents obtained for a wide range of simulation parameters does not exceed the limits observed for Mars. The simulations suggest that the shape of large craters is the key factor lead-ing to the two scaling ranges in the surface spectra. Particular values of the scaling exponents may additionally depend on the depth-diameter relationship and the crater size distribution.
Słowa kluczowe
Czasopismo
Rocznik
Strony
100--112
Opis fizyczny
Twórcy
autor
autor
  • National Institute of Water and Atmospheric Research PO Box 8602, Christchurch, New Zealand, v.nikora@niwa.co.nz
Bibliografia
  • Aharonson, O., M. Zuber and D.H. Rothman, 2001: "Statistics of Mars' topography from Mars Orbiter Laser Altimeter: slopes, correlations, and physical models", J. Geophys. Res. 106, E10, 23,723-23,735.
  • Balmino, G., 1993: "The spectra of topography of the Earth, Venus, and Mars", Geophys. Res. Lett. 20, 11, 1063-1066.
  • Belcher, S.E., J.C. Vassilicos, 1997: "Breaking waves and the equilibrium range of wind-wave spectra", J. Fluid Mech. 342, 377-401.
  • Bell, T.H., 1975: "Statistical features of sea-floor topography", Deep-Sea Research 22, 883-892.
  • Carr, M.H., 1981: The Surface of Mars, Yale University Press, New Haven.
  • Christensen, K., H.C. Fogedby and H.J. Jensen, 1991: "Dynamical and spatial aspects of sandpile cellular automata", J. Statistical Phys. 63, 3/4, 653-684.
  • Dodds, P.S., and D.H. Rothman, 2000: "Scaling, universality, and geomorphology", Ann. Rev. Earth Planet. Sci. 28, 571-610.
  • Garvin, J.B., and J.J. Frawley, 1998: "Geometric properties of Martian impact craters: preliminary results from the Mars Orbiter Laser Altimeter", Geophys. Res. Lett. 25, 24, 4405-4408.
  • Hartmann, W.K., M. Malin, A. McEwen, M. Carr, L. Soderblom, P. Thomas, E. Danielson, P. James and J. Veverka, J., 1999: "Evidence for recent volcanism on Mars from crater counts", Nature 397, 586-589.
  • Malamud, B.D., and D.L.Turcotte, 2001: "Wavelet analyses of Mars polar topography", J. Geophys. Res. 106, E8, 17,497-17,504.
  • Meakin, P., 1998: Fractals, Scaling and Growth far from Equilibrium, Cambridge University Press, New York.
  • Nikora, V., and D. Goring, 2004: "Mars topography: bulk statistics and spectral scaling", Chaos, Solitons and Fractals 19, 427-439.
  • Nikora, V., and D. Goring, 2005: "Martian topography: Scaling, craters, and high-order statistics", Mathematical Geology 37, 4, 337-355.
  • Petelier, J.D., and D.L. Turcotte, 1996: "Scale-invariant topography and porosity variations in fluvial sedimentary basins", J. Geophys. Res. 101, B12, 28,165-28,175.
  • Smith, D.E., M.T. Zuber, S.C. Solomon, R.J. Phillips, J.W. Head, J.B. Garvin, W.B. Banerdt, D.O. Muhleman, G.H. Pettengill, G.A. Neumann, F.G. Lemoine, J.B. Abshire, O. Aharonson, C.D. Brown, S.A. Hauck, A.B. Ivanov, P.J. McGovern, H.J. Zwally and T.C. Duxbury, 1999: "The global topography of Mars and implications for surface evolution", Nature 284, 1495-1503.
  • Smith, D.E., M.T. Zuber, H.V. Frey, J.B. Garvin, J.W. Head, D.O. Muhleman, G.H. Pettengill, R.J. Phillips, S.C. Solomon, Zwally, H.J. W.B. Banerdt, T.C. Duxbury, M.P. Golombek, F.G. Lemoine, G.A. Neumann, D.D. Rowlands, O. Aharonson, P.G. Ford, A.B. Ivanov, C.L. Johnson, P.J. McGovern, J.B. Abshire, R.S. Afzal and X. Sun, 2001: "Mars Orbiter Laser Altimeter: Experiment summary after the first year of global mapping of Mars", J. Geophys. Res. 106, E10, 23,689-23,722.
  • Turcotte, D.L., 1987: "A fractal interpretation of topography and geoid spectra on the Earth, Moon, Venus, and Mars", J. Geophys. Res. 92, E4, 597-601.
  • Turcotte, D.L., 1997: Fractals and Chaos in Geology and Geophysics, Cambridge University Press, Cambridge.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSL7-0014-0036
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