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Calculation of the piezomagnetic field arising from uniform regional stress in inhomogeneously magnetized crust

Abstract

This paper describes a simple procedure for the calculation of the piezomagnetic field arising from uniform regional stress in heterogeneously magnetized crust. There exists a strong similarity between the spatial distributions of anomalies in the geomagnetic total force values arising from magnetization structures in the Earth’s crust and those arising from piezomagnetic signals that arise from there. This similarity enables us to compute the piezomagnetic field due to uniform regional stress without the need to determine the explicit structure of magnetization intensities in the crust. This situation is similar to that of “reduction to the pole”, which is commonly used to interpret magnetic survey data. An explicit formula is presented that gives the 2-D spectrum of the piezomagnetic field from that of local magnetic anomalies; the formula is then applied to synthetic data. Calculated values are compared with the exact solution of the piezomagnetic field in order to assess the efficacy of the proposed method. The comparison verifies that calculations performed using the formula yield sufficiently accurate values for practical use.

References

  1. Baranov, V., A new method for interpretation of aeromagnetic maps: Pseudo-gravimetric anomalies, Geophysics, 22, 359–383, 1957.

    Article  Google Scholar 

  2. Bhattacharrya, B. K., Magnetic anomalies due to prism-shaped bodies with arbitrary polarization, Geophysics, 29, 517–531, 1964.

    Article  Google Scholar 

  3. Ishii, Y., T. Toya, and M. Akutagawa, Outline of the first analysis of JGRF data in Kakioka Magnetic Observatory, JMA, Proc. Conductivity Anomaly Symp. 2007, 92–97, 2008.

    Google Scholar 

  4. Johnston, M. J. S., R. J. Mueller, and Y. Sasai, Magnetic field observations in the near-field of the 28 June 1992 Mw 7.3 Landers, California, earthquake, Bull. Seismol. Soc. Am., 84, 792–798, 1994.

    Google Scholar 

  5. Nagata, T., Basic magnetic properties of rocks under mechanical stresses, Tectonophysics, 9, 167–195, 1970.

    Article  Google Scholar 

  6. Nakatsuka, T., Reduction of magnetic anomalies to and from an arbitrary surface, Butsuri-Tanko (Geophys. Explor.), 34, 332–339, 1981.

    Google Scholar 

  7. Nakatsuka, T., S. Okuma, R. Morijiri, and M. Makino, Compilation of airborne magnetic anomaly maps in Japan from the variety of surveys with long epoch difference, Proc. 11th IAGA Workshop on Magnetic Obs., 230–233, 2005.

    Google Scholar 

  8. Nishida, Y., Y. Sugisaki, K. Takahashi, M. Utsugi, and H. Oshima, Tectonomagnetic study in the eastern part of Hokkaido, NE Japan: Discrepancy between observed and calculated results, Earth Planets Space, 56, 1049–1058, 2004.

    Article  Google Scholar 

  9. Nishida, Y., M. Utsugi, and T. Mogi, Tectonomagnetic study in the eastern part of Hokkaido, NE Japan (II): Magnetic fields related with the 2003 Tokachi-oki earthquake and the 2004 Kushiro-oki earthquake, Earth Planets Space, 59, 1181–1186, 2007.

    Article  Google Scholar 

  10. Okubo, A., Y. Tanaka, M. Utsugi, N. Kitada, H. Shimizu, and T. Matsushima, Magnetization intensity mapping on Unzen Volcano, Japan, determined from high-resolution, low-altitude helicopter-borne aeromagnetic survey, Earth Planets Space, 57, 743–753, 2005.

    Article  Google Scholar 

  11. Oshiman, N., Enhancement of tectonomagnetic change due to non-uniform magnetization in the Earth’s crust-two dimensional case studies, J. Geomag. Geoelectr., 42, 607–619, 1990.

    Article  Google Scholar 

  12. Oshiman, N., M. K. Tuncer, Y. Honkura, S. Baris, O. Yazici, and A. M. Isikara, A strategy of tectonomagnetic observation for monitoring possible precursors to earthquakes in the western part of the North Anatolian Fault Zone, Turkey, Tectonophysics, 193(4), 359–368, 1991.

    Article  Google Scholar 

  13. Sasai, Y., Application of the elasticity theory of dislocations to tectonomagnetic modeling, Bull. Earthq. Res. Inst., Univ. Tokyo, 55, 387–447, 1980.

    Google Scholar 

  14. Sasai, Y., Tectonomagnetic modeling on the basis of the linear piezomagnetic effect, Bull. Earthq. Res. Inst., Univ. Tokyo, 66, 585–722, 1991.

    Google Scholar 

  15. Sasai, Y., Tectonomagnetic modeling based on the piezomagnetism: a review, Ann. Geofisica, 44(2), 361–368, 2001.

    Google Scholar 

  16. Sasai, Y. and Y. Ishikawa, Seismomagnetic models for earthquakes in the eastern part of Izu Peninsula, Central Japan, Ann. Geofisica, 40(2), 463–478, 1997.

    Google Scholar 

  17. Sagiya, T., S. Miyazaki, and T. Tada, Continuous GPS array and present-day crustal deformation of Japan, Pure Appl. Geophys., 157, 2303–2322, 2000.

    Google Scholar 

  18. Stuart, W. D., P. O. Banks, Y. Sasai, and S-W. Liu, Piezomagnetic field for Parkfield fault model, J. Geophys. Res., 100, 24101–24110, 1995.

    Article  Google Scholar 

  19. Wessel, P. and W. H. Smith, Improved version of the Generic Mapping Tools released, Eos Trans. AGU, 79, 1998.

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Correspondence to Ken’ichi Yamazaki.

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Yamazaki, K. Calculation of the piezomagnetic field arising from uniform regional stress in inhomogeneously magnetized crust. Earth Planet Sp 61, 1163–1168 (2009). https://doi.org/10.1186/BF03352967

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Key words

  • Piezomagnetic effect
  • regional stress
  • magnetic anomaly
  • reduction to the pole