Skip to main content
Log in

An iterative algorithm for magnetic induction modulus inversion

  • Published:
Izvestiya, Physics of the Solid Earth Aims and scope Submit manuscript

Abstract

An iterative algorithm is proposed for magnetic induction modulus inversion. The iterative process is based on a recurrence relation for the squared induction modulus, which can be represented at each iteration step by a system of linear algebraic equations for components of the magnetization vector. Formulas for the calculation of matrix elements of this system and the determination of the magnetization at the next iteration step are given. Model and practical examples illustrating the reconstruction of magnetization and anomalous field components are presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. P. S. Babayants, Yu. I. Blokh, and A. A. Trusov, “Structure of the Crystalline Basement of Platform Regions from Magnetic and Gravity Data,” Geofizika, No. 6, 55–58 (2003).

  2. V. M. Gordin, S. A. Tikhotskii, and D. Yu. Shur, “Reconstruction of the Harmonic Component of the Magnetic Field Modulus Anomalies,” Fiz. Zemli, No. 4, 69–79 (2006) [Izvestiya, Phys. Solid Earth 42, 334–343 (2006)].

  3. A. I. Kobrunov, “On the Theory of the Fitting Method,” Geofiz. Zh. 5(4), 34–43 (1983).

    Google Scholar 

  4. V. A. Kochnev and I. V. Goz, “Hidden Potentialities of Magnetometry,” Geofizika, No. 6, 51–55 (2006).

  5. V. N. Kovalenko-Zavoiskii and I. N. Ivashchenko, “Mathematical Background of Interpreting Regional Anomalous Magnetic Fields ΔB a,” Geofiz. Zh. 28(5), 18–29 (2006).

    Google Scholar 

  6. A. V. Ladynin, A. N. Vasilevskii, A. F. Pavlov, and A. A. Popova, “Magnetic Survey Vector Application to the Search for Iron-Bearing Deposits,” Geol. Geofiz. 43(1), 78–89 (2002).

    Google Scholar 

  7. A. A. Logachev and V. P. Zakharov, Magnetic Prospecting (Nedra, Leningrad, 1979) [in Russian].

    Google Scholar 

  8. V. N. Strakhov, “The Functions ΔS and ΔW as New Characteristics of an Anomalous Magnetic Field,” Dokl. Akad. Nauk SSSR 329(4), 438–441 (1993).

    Google Scholar 

  9. V. N. Strakhov, “Geophysically Adequate Regularization Theory of Linear Algebraic Equations of Gravimetry and Magnetometry,” in Modern Problems in Mathematical Geophysics (OIFZ RAN, Moscow, 2001), Vol. 2, Part 1, pp. 121–127 [in Russian].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © A.B. Raevskii, 2008, published in Fizika Zemli, 2008, No. 7, pp. 34–41.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Raevskii, A.B. An iterative algorithm for magnetic induction modulus inversion. Izv., Phys. Solid Earth 44, 548–554 (2008). https://doi.org/10.1134/S1069351308070057

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1069351308070057

PACS numbers

Navigation