Analysis of magnetic anomalies due to some two-dimensional bodies using the Mellin transform
- 54 Downloads
An interpretation technique using the Mellin transform is suggested for the analysis of magnetic anomalies due to some two-dimensional structures namely (i) a vertical sheet of both finite and infinite depth extent, (ii) a thick dyke and (iii) a horizontal circular cylinder. The Mellin transformed magnetic anomalies resemble gamma functions which are amenable to an easy interpretation. This procedure is illustrated with a small number of synthetic examples in each case. The practicality of the method is exemplified with the well-known vertical magnetic anomalies of Kursk (USSR) in the case of an infinite sheet model and Karimnagar magnetic anomaly (India) in the case of a horizontal circular cylinder. The results are compared with the techniques already available and found to be reliable.
Key wordsMagnetic anomalies Mellin transform gamma function asymptotic values
Unable to display preview. Download preview PDF.
- Anand Babu, L. (1985),Resolution of Potential Fields Using Integral Transform, Ph.D. Thesis submitted to Osmania University, Hyderabad, India (unpublished).Google Scholar
- Gradshteyn, I. S., andRyzhik, I. M.,Tables of Integral Series and Products (Academic Press Inc., New York 1965).Google Scholar
- Mohan, N. L. (1978),Interpretation Techniques in Geophysical Exploration using Fourier Transform, Ph.D., Thesis, submitted to Osmania University, Hyderabad, India (unpublished).Google Scholar
- Mohan, N. L., Sundararajan, N., andSeshagiri Rao, S. V. (1982),Interpretation of Some Two-dimensional Magnetic Bodies Using Hilbert Transforms, Geophys.47, 376–387.Google Scholar
- Mohan, N. L., Anand Babu, L., andSeshagiri Rao, S. V. (1986),Gravity Interpretation Using the Mellin Transform, Geophys.51, 114–122.Google Scholar
- Nagighian, M. N. (1972),The Analytic Signal of Two-dimensional Magnetic Bodies with Polygonal Cross-section, Its Properties and Use for Automated Anomaly Interpretation Geophys.37, 507–512.Google Scholar
- Sneddon, I. N.,The Use of Integral Transforms (Tata McGraw-Hill Publishing Co. Ltd., New Delhi, India 1979).Google Scholar
- Sundararajan, N. (1982),Interpretation Techniques in Geophysical Exploration Using Hilbert Transform, Ph.D. Thesis, submitted to Osmania University, Hyderbad, India (unpublished).Google Scholar
- Sundararajan, N., Mohan, N. L., Vijayaraghava, M. S., andSeshagiri Rao, S. V. (1985),Hilbert Transform of the Generalised Expression for the Magnetic Effect of a Horizontal Circular Cylinder, Acta Geophysica Polonica33, 221–230.Google Scholar
- Werner, S. (1953),Interpretation of Magnetic Anomalies at Sheet-like Bodies, Sever. Geol. Undersok. Ser. C 508, Stockholm.Google Scholar