GRAVITY ANOMALY SEPARATION USING 2-D WAVELET APPROACH AND AVERAGE DEPTH CALCULATION

Year 2001, Volume: 2 Issue: 1, 1 - 12, 01.01.2001

A. Muhittin Albora Osman Nuri Uçan

https://izlik.org/JA67BB36ET

Abstract

In this paper, 2-D Multi-Resolution Analysis MRA is used to perform Discrete-Parameter Wavelet Transform DPWT and applied to gravity anomaly separation problem. The advantages of this method are that it introduces little distortion to the shape of the original image and that it is not effected significantly by factors such as the overlap power spectra of regional and residual fields. The proposed method is tested using a synthetic example and satisfactory results have been found. Then average depth of the buried objects have been estimated by power spectrum analysis.

Keywords

Wavelet , Gravity Anomaly , Power Spectrum Analysis

References

• ABDELRAHMAN, E.M., A.I., BAYOUMI, H.M. EL-ARABY. (1991), "A l e ast­ squares minimization approach to invert gravity data”, Geophysics, 56, 115-118
• AGARWAL, B.N.P., AND LAL, L.T. (1971), "Application of rational approximation in the ca lc u latio n of the second deriv ativ e of the g ravity field", Geophysics, 36, 571-581.
• A. SPECTOR AND F. S. GRANTI. (1970), "Statistical models for interpreting aeromagnetic data", Geophysics, 35, 293-302.
• BHATTACHARRYYA, B.K., AND NAVOLIO,M.E.(1976), "A Fast Fourier Transform method for rapid computation of gravity and magnetic anomalies due to arbitrary bodies",Geophysics, Prosp., 20, 633-649.
• CHAN Y.T. (1996), "Wavelet Basics",Kluwer Academic Publishers, USA.
• DAUBECHIES,I. (1990), "The Wavelet Transform, Time-Frequency Localization and Signal Analysis", IEEE Trans. On Information Theory, 36.
• E. ISING, (1925), "Zeitschrift Physik", 31, 253.
• GABOR, D. (1946), "Theory of Communications", J.IEEE, 93, 3, 429.
• GRIFFIN, W.P. (1989), "Residual gravity in theory and practice", Geophysics, 14, 39-56.
• GROSSMAN,A.,MORLET,J. (1985), " Mathematics and Physics", 2, L. Streit, Ed., World Scientific Publishing, Singapore.
• MALLAT, S. (1989), "A Theory for Multiresolution Signal Decomposition the Wavelet Representation", IEEE Trans. Pattern Anal. And Machine Intelligence, 31, 679-693.
• PALACKY, G.J.(1986), "Geological background to resistivity mapping, in, Ed., Palacky, G.J., Airborne resistivity mapping",G.S.C. Paper 86-22,19-27.
• PICK, M., PICHA,J., AND VYSKOCIL, V. (1973), "Theory of Earth’s gravity field", Academia
• R.S.PAWLOWSKI, AND R.O. HANSEN, (1990), "Gravity anomaly separatiin by Wiener filtering", Geophysics , 55, 539-548.
• RICHARD C. DOBES, ANIL JAIN, (1989), "Random field models in image analysis", Journal of Applied Statistics, 16, 131-162.
• SHU-KUN HSU, JEAN-CLAUDE S., AND CHUEN-TIEN S. (1996), "High­ resolution detection of geological boundaries from potential-field anom­ alies; An enhanced analytical signal technique", Geophysics, 61, 373-386.
• VACLAC B., JAN H., AND KARELS. (1992), "Linear filters for solving the direct problem of potential fields", Geophysics, 57, 1348-1351.
• WATSON, K., (1985), "Remote sensing: A geophysical perspective",Geophysics. 55, 843-850.
• YAOGUO LI., AND DOUGLES W. O. (1998), "Separation of regional and residual magnetic field data",Geophysics, 63, 431-439.