Skip to main content
Log in

The delesse relation in a concentrically zoned sphere. I. The section-number bias

  • Articles
  • Published:
Mathematical Geology Aims and scope Submit manuscript

Abstract

Zonal areas of a randomly chosen section through a concentrically zoned sphere yield an estimate of the (volumetric) amount of the outer zone which is subject to a large positive bias that decreases rapidly with increase in the number of sections on which the estimate is based. It will not exceed 3% of the amount present if an analysis is based on as many as 8 sections and will be less than 1% if 32 sections are used.

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

  • Chayes, Felix, 1956, Petrographic Modal Analysis: John Wiley, New York, 113 p.

    Google Scholar 

  • Delesse, A., 1848, Procede mechanique pour determiner la composition des roches: Ann. Mines, v. 13, p. 379–388.

    Google Scholar 

  • Kendall, M. G.; and Moran, P. A., 1963, Geometric Probability: C. Griffin, London, 125 p.

    Google Scholar 

  • Krumbein, W. C., 1935, Thin-Section Mechanical Analysis of Indurated Sediments: J. Geol., v. 43, pp. 482–496.

    Google Scholar 

  • Sorby, H., 1856, On Slaty Cleavage as Exhibited in the Devonian Limestones of Devonshire: Philos. Mag., v. 11, pp. 20–37.

    Google Scholar 

  • Wicksell, S. D., 1925, The Corpuscle Problem: a Mathematical Study of a Biometric Problem: Biometrika, v. 17, pp. 84–99.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chayes, F. The delesse relation in a concentrically zoned sphere. I. The section-number bias. Math Geol 21, 319–329 (1989). https://doi.org/10.1007/BF00893693

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00893693

Key words

Navigation