pure and applied geophysics

, Volume 133, Issue 3, pp 403–428 | Cite as

Analysis of magnetic anomalies due to some two-dimensional bodies using the Mellin transform

  • N. L. Mohan
  • L. Anand Babu
  • N. Sunderarajan
  • S. V. Seshagiri Rao
Article

Abstract

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 words

Magnetic anomalies Mellin transform gamma function asymptotic values 

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Copyright information

© Birkhäuser Verlag 1990

Authors and Affiliations

  • N. L. Mohan
    • 1
  • L. Anand Babu
    • 2
  • N. Sunderarajan
    • 1
  • S. V. Seshagiri Rao
    • 1
  1. 1.Centre of Exploration GeophysicsOsmania UniversityHyderabadIndia
  2. 2.Department of MathematicsOsmania UniversityHyderabadIndia

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