Multifractal magnetic susceptibility distribution models of hydrothermally altered rocks in the Needle Creek Igneous Center of the Absaroka Mountains, Wyoming

Nonlinear Processes in Geophysics

Volumn 12, Issue 5, 2005, Pages 587-601

  Gettings, M E ^a  

^a U S GEOLOGICAL SURVEY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HYDROTHERMAL ALTERATION; MAGNETIC SUSCEPTIBILITY;

ABSAROKA MOUNTAINS; NORTH AMERICA; ROCKY MOUNTAINS; UNITED STATES; WESTERN HEMISPHERE; WORLD;

EID: 24144483126     PISSN: 10235809     EISSN: None     Source Type: Journal    
DOI: 10.5194/npg-12-587-2005     Document Type: Article

References (51)

1. Ackermann, R., Schlische, R., and Withjack, M.: The geometric and statistical evolution of normal fault systems: an experimental study of the effects of mechanical layer thickness on scaling laws, J. Struct. Geol., 23, 1803-1819, 2001.
2. Barton, C.: Fractal analysis of scaling and spatial clustering of fractures, in: Fractals in the Earth Sciences, edited by: Barton, C. and LaPointe, P., Plenum Press, New York, 141-177, 1995.
3. Belfield, W.: Multifractal characteristics of natural fracture apertures, Geophys. Res. Lett, 21, 2641-2644, 1994.
4. Berkowitz, B. and Hadad, A.: Fractal and multifractal measures of natural and synthetic fracture networks, J. Geophys. Res., 102, 12 205-12 218, 1997.
5. Bevington, P.: Data Reducion and Error Analysis for the Physical Sciences, McGraw-Hill, New York, 1969.
6. Bonnet, E., Bour, O., Odling, N., Davy, P., Main, I., Cowie, P., and Berkowitz, B.: Scaling of fracture systems in geological media, Rev. Geophys., 39, 347-383, 2001.
7. Brown, S.: Measuring the dimension of self affine fractals: the example of rough surfaces, in: Fractals in the Earth Sciences, edited by: Barton, C. and LaPointe, P., Plenum Press, New York, 77-87, 1995.
8. Cantor, G.: Grundlagen einer allgemeinen mannichfaltigkeitslehre, Mathematische Annalen, 21, 545-591, 1883.
9. Carmichael, R.: Magnetic properties of minerals and rocks, in: Handbook of Physical Properties of Rocks, v. II, edited by Carmichael, R. S., CRC Press, Boca Raton, Florida, 2, 229-287, 1982.
10. Davis, A., Marshak, A., Wiscombe, W., and Cahalan, R.: Multifractal characterizations of nonstationarity and intermittency in geophysical fields: Observed, retrieved or simulated, J. Geophys. Res., 99, 8055-8072, 1994.
11. Dolan, S., Bean, C., and Riollet, B.: The broad-band fractal nature of heterogeneity in the upper crust from petrophysical logs, Geophys. J. Int., 132, 489-507, 1998.
12. Dubois, J.: Non-linear Dynamics in Geophysics, John Wiley & Sons, Chichester, England, 1998.
13. Feder, J.: Fractals, Plenum Press, New York, 1988.
14. Fisher, F.: Geochemical data and sample locality maps from the Stinkingwater Mining Region, Park County, Wyoming, US Geological Survey Report USGS-GD-71-003, Tech. Rep. Rept. PB1-96987, US Dept. Commerce Natl. Tech. Inf. Service, 1971.
15. Fisher, F.: Tertiary mineralization and hydrothermal alteration in the Stinkingwater Mining Region, Park County, Wyoming, US Geological Survey Bulletin, 1332-C, 33, 1972.
16. Fisher, F.: Porphyry copper deposits associated with the Needle Creek igneous center, southern Absaroka Mountains, Wyoming, in: Symposium volume 1982, Genesis of Rocky Mountain Ore Deposits, Denver Region Exploration Geologists Society, Denver, CO, 87-93, 1983.
17. Fowler, A.: Mineral crystallinity in igneous rocks, in: Fractals in the Earth Sciences, edited by Barton, C. and LaPointe, P., Plenum Press, New York, 237-249, 1995.
18. Gettings, M.: Cantor set models of magnetic sources, Abstracts Week B, XXI General Assembly of the International Union of Geodesy and Geophysics, Boulder, Colorado, p. B193, 1995.
19. Gettings, M.: An Interpretation of the 1996 Aeromagnetic Data for the Santa Cruz basin, Tumacacori Mountains, Santa Rita Mountains, and Patagonia Mountains, South-Central Arizona, US Geological Survey Open-File Report 02-99, available only on http://geopubs.wr.usgs.gov/ open-file/of02-99/, 2002.
20. Gettings, M.: A dataset of magnetic susceptibility, metalization, and alteration for samples from the Stinkingwater Mining District, Absaroka Mountains, Wyoming, US Geological Survey Open-File Report 04-1253, available only on http://pubs.usgs.gov/of/2004/1253/, 2004.
21. Gettings, M., Bultman, M., and Fisher, F.: Detailed profiles of southeastern Arizona obtained by a truck-mounted magnetometer - a step toward better utilization of the information content of geophysical data, US Geological Survey Circular 1062, 31-32, 1991.
22. Gregotski, M., Jensen, O., and Arkani-Hamed, J.: Fractal stochastic models of aeromagnetic data, Geophysics, 56, 1706-1715, 1991.
23. Jeffreys, H.: Theory of probability, Oxford University Press, Oxford, UK, 3 edn., 1961.
24. Lovejoy, S., Pecknold, S., and Schertzer, D.: Stratified multifractal magnetization and surface geomagnetic fields-I. Spectral analysis and modelling, Geophys. J. Int., 145, 112-126, 2001.
25. Lowell, J. and Guilbert, J.: Lateral and vertical alteration-mineralization zoning in porphyry copper deposits, Econ. Geol., 65, 363-408, 1970.
26. Mandelbrot, B.: Fractals: Form, Chance, and Dimension, W. H. Freeman, San Francisco, 1977.
27. Mandelbrot, B.: The Fractal Geometry of Nature, W. H. Freeman, San Francisco, 1982.
28. Mandelbrot, B.: Multifractals and 1/f noise, Springer Verlag, New York, 1999.
29. Maus, S.: Variogram analysis of magnetic and gravity data, Geophysics, 64, 776-784, 1999.
30. Maus, S. and Dimri, V.: Scaling properties of potential fields due to scaling sources, Geophys. Res. Lett., 21, 891-894, 1994.
31. Maus, S. and Dimri, V.: Potential field power spectrum inversion for scaling geology, J. Geophys. Res., 100, 12 605-12 616, 1995.
32. Maus, S. and Dimri, V.: Depth estimation from the scaling power spectrum of potential fields?, Geophys. J. Int., 124, 113-120, 1996.
33. Maus, S., Gordon, D., and Fairhead, D.: Curie-temperature depth estimation using a self-similar magnetization model, Geophys. J. Int., 129, 163-168, 1997.
34. Monin, A. and Yaglom, A.: Statistical Fluid Mechanics: Mechanics of Turbulence, vol. 2, MIT Press, Cambridge, Mass., 1975.
35. Ouillon, G., Castaing, C., and Sornette, D.: Heirarchical geometrry of faulting, J. Geophys. Res., 101, 5477-5487, 1996.
36. Pecknold, S., Lovejoy, S., and Schertzer, D.: Stratified multifractal magnetization and surface geomagnetic fields-II, Multifractal analysis and simulations, Geophys. J. Int., 145, 127-144, 2001.
37. Phelps-Dodge Corporation: Alteration maps, Needle Creek property, 1968.
38. Pilkington, M. and Todoeschuck, J.: Fractal magnetization of continental crust, Geophys. Res. Lett., 20, 639-641, 1993.
39. Pilkington, M. and Todoeschuck, J.: Scaling nature of crustal susceptibilities, Geophys. Res. Lett., 22, 779-782, 1995.
40. Pilkington, M., Gregotski, M., and Todoeschuck, J.: Using fractal crustal magnetization models in magnetic interpretation, Geophys. Prosp., 42, 677-692, 1994.
41. Quarta, T., Fedi, M., and DeSantis, A.: Source ambiguity from estimation of the scaling exponent of potenntial field power spectra, Geophys. J. Int., 140, 311-323, 2000.
42. Schertzer, D. and Lovejoy, S.: Physical modeling and analysis of rain and clouds by anisotropic scaling of multiplicative cascades, J. Geophys. Res., 92, 9693-9714, 1987.
43. Schertzer, D. and Lovejoy, S.: Nonlinear geodynamical variability: multiple singularities, universality and observables, in: Non-Linear Variability in Geophysics: Scaling and Fractals, edited by: Schertzer, D. and Lovejoy, S., Kluwer Academic, Norwell, Mass., 41-82, 1991.
44. Schertzer, D. and Lovejoy, S.: Universal multifractals do exist!: comments on "A statistical study of mesoscale rainfall as a random cascade", J. Appl. Meteorl., 36, 1296-1303, 1997.
45. Schmitt, F., Lovejoy, S., and Schertzer, D.: Multifractal analysis of the Greenland Ice-core project climate data, Geophys. Res. Lett., 22, 1689-1692, 1995.
46. Sornette, A., Davy, P., and Sornette, D.: Fault growth in brittle-ductile experiments and the mechanics of continental collisions, J. Gephys. Res., 98, 12 111-12 139, 1993.
47. Tessier, Y., Lovejoy, S., Hubert, P., Schertzer, D., and Pecknold, S.: Multifractal analysis and modeling of rainfall and river flows and scaling, causal transfer functions, J. Geophys. Res., 101, 26 427-26 440, 1996.
48. Tricot, C.: Curves and Fractal Dimension, Springer Verlag, New York, 1995.
49. Turcotte, D.: Fractals and Chaos in Geology and Geophysics, Cambridge University Press, Cambridge, UK, 2 edn., 1997.
50. Turcotte, D. and Huang, J.: Fractal distributions in geology, scale invariance, and deterministic chaos, in: Fractals in the Earth Sciences, edited by: Barton, C. and LaPointe, P., Plenum Press, New York, 1-38, 1995.
51. Zhou, S. and Thybo, H.: Power spectra analysis of geomagnetic data and KTB susceptibility logs and their implications for fractal behaviour of crustal magnetization, Pageoph., 151, 147-159, 1998.