Skip to main content
  • Article
  • Published:

Palaeomagnetic errors related to sample shape and inhomogeneity

Abstract

When determining the remanent magnetization (RM) of palaeomagnetic rock samples, it is assumed that the samples can be approximated by a magnetic dipole. This assumption greatly simplifies the inverse problem of determining the RM from the measured magnetic field of the sample. The magnetic field of the normally used cylindrical rock samples is however not identical to that of a dipole and care must be taken not to introduce any systematic errors. A numerical test of the effect of cylindrical sample shape on the determination of RM for a spinner-type magnetometer is presented. We find that for a spinner magnetometer the non-ideal sample shape has an insignificant effect (less than 0.3° error), for even the smallest possible sample-sensor distance. Comparing static and spinner-type magnetometers, it is clear that spinner-type magnetometers are less affected by the sample shape. Inhomogeneously magnetized samples are an obvious source of error when determining the RM. We numerically test the error in the determination of RM for the simple case of a laminated cylindrical sample with constant direction, but varying intensity of magnetization between the laminae. For strongly inhomogeneous samples we find an error of 4° for typical spinner-type magnetometer and 10° for static-type magnetometers.

References

  • Blunk, I., Magnetic susceptibility anisotropy and deformation in Quaternary sediments, Z. Dt. Geol. Ges., 140, 393–403, 1989.

    Google Scholar 

  • Butler, R. F., Paleomagnetism: Magnetic Domains to Geologic Terranes, 319 pp., Blackwell Scientific Publ., Boston, 1992.

    Google Scholar 

  • Collinson, D. W., Methods in Rock Magnetism and Palaeomagnetism, 503 pp., Chapman and Hall, London, 1983.

    Book  Google Scholar 

  • Gallet, Y. and V. Courtillot, Modeling magnetostratigraphy in a borehole, Geophysics, 54, 973–983, 1989.

    Article  Google Scholar 

  • Larochelle, A. and G. W. Pearce, A possible source of error in determining the remanent magnetization of cylindrical rock specimens with a biastatic magnetometer, Geol. Surv. Can. Pap., 68-62, 1–13, 1969.

    Google Scholar 

  • McElhinny, M. W. and P. L. McFadden, Paleomagnetism—Continents and Oceans, 382 pp., Academic Press, San Diego, 2000.

    Google Scholar 

  • Menke, W., Geophysical Data Analysis: Discrete Inverse Theory, 289 pp., Academic Press, San Diego, 1989.

    Google Scholar 

  • Parker, R. L., Calibration of the pass-through magnetometer-I. Theory, Geophys. J. Int., 142, 371–383, 2000.

    Article  Google Scholar 

  • Parker, R. L. and J. S. Gee, Calibration of the pass-through magnetometer -II. Application, Geophys. J. Int., 150, 140–152, 2002.

    Article  Google Scholar 

  • Press, W. H., B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in Pascal, 759 pp., Cambridge University Press, 1989.

  • Saarinen, T. J., Paleomagnetic study of Holocene sediments of Lake Päijänne (Central Finland) and Lake Paanajärvi (North-West Russia), Geol. Surv. Finland, Bull, 376, 1–87, 1994.

    Google Scholar 

  • Sharma, P. Vallabh, On the point dipole representation of a Uniformly Magnetized Cylinder, Helv. Phys. Acta, 38, 234–240, 1965.

    Google Scholar 

  • Sharma, P. Vallabh, Choice of configuration for measurement of magnetic moment of rock specimen with a fluxgate unit, Geoexploration, 6, 101–108, 1968.

    Article  Google Scholar 

  • Steele, W. K., Directional errors in remanent magnetization of non-cubic soft sediment specimens measured with spinner magnetometers, Geophys. J. R. astr Soc, 96, 333–341, 1989.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Peter Riisager.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Riisager, P., Abrahamsen, N. Palaeomagnetic errors related to sample shape and inhomogeneity. Earth Planet Sp 55, 83–91 (2003). https://doi.org/10.1186/BF03351735

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1186/BF03351735

Keywords