Abstract
The real spectral analysis of SP anomalies due to 2-D horizontal circular cylinder is carried out using Hartley transform. The Hartley transform is an alternate means of realizing spectral analysis in real domain unlike the Fourier spectral analysis. The Hartley transform yields a straightforward interpretation of SP anomalies caused by horizontal circular cylinder wherein all the parameters are derived independently as a function of frequency. A theoretical example illustrates the procedure. The effect of random noise, up to 10% of white Gaussian noise, on the interpretation scheme was also studied and found to be of negligible. The field example of the “Sulleymonkey” anomaly in the Ergoni copper district, Turkey exemplifies the applicability of the proposed method.
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References
Abdelrahman EM, Sharafeldin SM (1997) A least-squares approach to depth determination from residual self-potential anomalies caused by horizontal cylinders and spheres. Geophysics 62:44–48
Bhattacharya BB, Roy N (1981) A note on the use of nomograms for self-potential anomalies. Geophys Prospect 29:102–107
Bracewell RN (1983) The discrete Hartley transform. J Opt Soc Am 73:1832–1835
Bracewell RN (1986) The Fourier transform and its applications. McGraw-Hill Book Co, New York
Bracewell RN (1989) Physical aspects of the Hartley transform. J Atmos Terr Phys 51:791–795
Hartley RVL (1942) A more symmetrical Fourier analysis applied to transmission problems. Proc IRE 30(2):144–150
Kadirov FA (2000) Application of the Hartley transform for interpretation of gravity anomalies in the Shamakhy-Gobustan and Absheron oil and gas bearing regions, Azerbaijan. J Appl Geophys 45:49–61
Meiser P (1962) A method of quantitative interpretation self-potential measurements. Geophys Prospect 10:203–218
Mohan NL, Babu LA (1994) A note on 2-D Hartley transform. Geophysics 59:1150–1155
Paul MK (1965) Direct interpretations of self-potential extension anomalies caused by inclined sheets of infinite horizontal extension. Geophysics 30:418–423
Rajan NS (1993) Discussion on the use of Hartley transform in geophysical applications. Geophysics 56:1058–1059
Rao AD, Babu RHV (1983) Quantitative interpretation of self-potential anomalies due to two-dimensional sheet-like bodies. Geophysics 48:1659–1664
Saatcilar S, Ergintav S (1991) Solving elastic wave equations with the Hartley method. Geophysics 56:274–278
Saatcilar S, Ergintav S, Canitez N (1990) The use of the Hartley transform in geophysical applications. Geophysics 55:1488–1495
Sundararajan N (1995) 2-D Hartley transforms. Geophysics 60:262–267
Sundararajan N (1997) Fourier and Hartley transforms—a mathematical twin. Indian J Pure Appl Math 28:1361–1365
Sundararajan N, Brahmam G (1998) Spectral analysis of gravity anomalies caused by slab-like structures: a Hartley transform technique. J Appl Geophys 39:53–61
Sundararajan N, Srinivas Y (1996) A modified Hilbert transform and its application to self potential interpretation. J Appl Geophys 36:137–143
Sundararajan N, Al-Garni MA, Ramabrahmam G, Srinivas Y (2007) A real spectral analysis of the deformation of a homogeneous electric field over a thin bed—a Hartley transform approach. Geophys Prospect 55:901–910
Tlas M, Asfahani J (2008) Using of the Adaptive Simulated Annealing (ASA) for quantitative interpretation of self-potential anomalies due to simple geometrical structures. J King Abdulaziz Univ Earth Sci 19:99–118
Yungal S (1950) Interpretation of spontaneous polarization anomalies caused by spherical ore bodies. Geophysics 15:237–246
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Al-Garni, M.A., Sundararajan, N. Hartley spectral analysis of self-potential anomalies caused by a 2-D horizontal circular cylinder. Arab J Geosci 5, 1341–1346 (2012). https://doi.org/10.1007/s12517-011-0285-8
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DOI: https://doi.org/10.1007/s12517-011-0285-8