Skip to main content

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

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

    Article  Google Scholar 

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

    Article  Google Scholar 

  • 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 

  • 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 

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

    Article  Google Scholar 

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

    Google Scholar 

  • 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 

  • 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 

  • 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 

  • 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 

  • 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 

  • 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 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  • 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 

  • 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 

  • 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 

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

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ken’ichi Yamazaki.

Rights and permissions

Open Access  This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.

The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.

To view a copy of this licence, visit https://creativecommons.org/licenses/by/4.0/.

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1186/BF03352967

Key words