Dupin's indicatrix: a tool for quantifying periclinal folds on maps

Lisle, Richard John 2003. Dupin's indicatrix: a tool for quantifying periclinal folds on maps. Geological Magazine 140 (6) , pp. 721-726. 10.1017/S0016756803008306

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Abstract

The elliptical and hyperbolic outcrop patterns characteristic of periclinal folds can be used to classify structures according to different curvature attributes. Elliptical patterns indicate domal-basinal structures with synclastic curvature, that is, principal curvatures of the same sign. Hyperbolic patterns are diagnostic of anticlastic curvature (saddle-like structures). Such outcrop geometries are geological examples of Dupin’s indicatrix, the geometrical figure obtained by sectioning a curved surface on a plane parallel and almost coincident with the tangent plane. The aspect ratio of Dupin’s indicatrix is theoretically related to the ratio of the principal curvature values for the part of the structure being considered. This new method allows quantitative assessment of structures on maps and on remote sensing images. Illustrations are given from Wyoming, USA, and Yorkshire, England.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Earth and Environmental Sciences
Subjects:	Q Science > QE Geology
Uncontrolled Keywords:	folds; style; geometry; maps; cross-sections
Additional Information:	Pdf uploaded in accordance with publisher's policy at http://www.sherpa.ac.uk/romeo/issn/0016-7568/ (accessed 24/02/2014).
Publisher:	Cambridge University Press
ISSN:	0016-7568
Date of First Compliant Deposit:	30 March 2016
Last Modified:	05 May 2023 21:59
URI:	https://orca.cardiff.ac.uk/id/eprint/10411

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