Source ambiguity from an estimation of the scaling exponent of potential field power spectra

Geophysical Journal International

Volumn 140, Issue 2, 2000, Pages 311-323

  Quarta, Tatiana ^a   Fedi, Maurizio ^b   De Santis, Angelo ^b  

^a Dipto di Scienza dei Materiali   (Italy)

^b ISTITUTO NAZIONALE DI GEOFISICA E VULCANOLOGIA   (Italy)

Author keywords

Fractals; Potential field; Spectral analysis

Indexed keywords

FRACTAL ANALYSIS; POTENTIAL FIELD; SPECTRAL ANALYSIS;

EID: 0034014072     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-246x.2000.00021.x     Document Type: Article

References (31)

1. Bhaskara Rao, D., Prakash, M.J. & Ramesh Babu, N., 1993. Gravity interpretation using Fourier transform and simple geometrical models with exponential density contrast, Geophysics, 58, 1074-1083.
2. Box, G.E.P. & Jenkins, G.M., 1976. Time Series Analysis Forecasting and Control, Holden-Day, San Francisco.
3. Bracewell, R., 1965. The Fourier Transform and its Applications, McGraw-Hill Book Company, New York.
4. Brown, S.R., 1987. A note on the description of surface roughness using fractal dimension, Geophys. Res. Lett., 14, 1095-1098.
5. De Santis, A. & Barraclough, D.R., 1997. A fractal interpretation of the topography of the scalar geomagnetic potential at the core-mantle boundary, Pure appl. Geophys., 149, 747-759.
6. De Santis, A. & Chiappini, M., 1992. Automatic K, determination by means of fractal and harmonic analysis, Ann. Geophys., 10, 597-602.
7. Dolan, S.S., Bean, C.J. & Riollet, B., 1998. The broad-band fractal nature of heterogeneity in the upper crust from petrophysical logs, Geophys. J. Int., 132, 489-507.
8. Feder, J., 1988. Fractals, Plenum Press, New York.
9. Fedi, M., Quarta, T. & De Santis, A., 1997. Improvements to the Spector and Grant method of source depth estimation using the power law decay of magnetic field power spectra, Geophysics, 62, 1143-1150.
10. Fox, C.G., 1989. Empirically derived relationships between fractal dimension and power law form frequency spectra, Pageoph, 131, 211-239.
11. Fox, C.G. & Hayes, D.E., 1985. Quantitative methods for analysing the roughness of the seafloor, Rev. Geophys., 23, 1-48.
12. Gilbert, L.E., 1989. Are topographic data sets fractal?, Pageoph, 131, 241-254.
13. Goff, J.A., 1990. Comment on 'Fractal mapping of digitized images, application to the topography of Arizona and comparison with synthetic images' by J. Huang and D. L. Turcotte, J. geophys. Res., 95, 5159.
14. Gregotski, M.E., Jensen, O. & Arkani-Hamed, J., 1991. Fractal stochastic modelling of aeromagnetic data, Geophysics, 56, 1706-1715.
15. Hough, S.E., 1989. On the use of spectral methods for the determination of fractal dimension, Geophys. Res. Lett., 16, 673-676.
16. Huang, J. & Turcotte, D.L., 1989. Fractal mapping of digitized images, application to the topography of Arizona and comparisons with synthetic images, J. geophys. Res., 94, 7491-7495.
17. Kumar, S. & Bodvarsson, G.S., 1990. Fractal study and simulation of fracture roughness, Geophys. Res. Lett., 17, 701-704.
18. Malinverno, A., 1989. Testing linear models of sea-floor topography, Pageoph, 131, 139-155.
19. Mandelbrot, B.B., 1983. The Fractal Geometry of Nature, W. H. Freeman, New York.
20. Maus, S. & Dimri, V.P., 1994. Scaling properties of potential fields due to scaling sources, Geophys. Res. Lett., 21, 891-894.
21. Maus, S. & Dimri, V., 1996. Depth estimation from the scaling power spectrum of potential fields?, Geophys. J. Int., 124, 113-120.
22. Naidu, P., 1968. Spectrum of the potential field due to randomly distributed sources, Geophysics, 33, 337-345.
23. Pawlowski, R.S., 1994. Green's equivalent-layer concept in gravity band-pass filter design, Geophysics, 59, 69-76.
24. Pilkington, M. & Todoeschuck, J.P., 1993. Fractal magnetization of continental crust, Geophys. Res. Lett., 20, 627-630.
25. Pilkington, M., Gregotski, M.E. & Todoeschuck, J.P., 1994. Using fractal crustal magnetization models in magnetic interpretation, Geophys. Prospect., 42, 677-692.
26. Spector, A. & Grant, S.F., 1970. Statistical models for interpreting aeromagnetic data, Geophysics, 35, 293-302.
27. SPSS for Windows, 1998. Version 7.5, Copyright (c) SPSS Inc.
28. Telford, W.M., Geldart, L.P., Sheriff, R.E. & Keys, D.A., 1976. Applied Geophysics, Cambridge University Press, Cambridge.
29. Turcotte, D.L., 1992. Fractals and Chaos in Geology and Geophysics, Cambridge University Press, Cambridge.
30. Wu, R.S., Xu, Z. & Li, X.P., 1994. Heterogeneity spectrum and scale-anisotropy in the upper crust revealed by the German Continental Deep-Drilling (KTB) Holes, Geophys. Res. Lett., 21, 911-914.
31. Zhou, S. & Thybo, H., 1998. Power spectra analysis of aeromagnetic data and KTB susceptibility logs, and their implication for fractal behavior of crustal magnetization, Pageoph, 151, 147-159.