A Discrete Random Model Describing Bedrock Profile Abrasion

Sipos, András A. and Domokos, Gábor and Wilson, Andrew and Hovius, Niels (2011) A Discrete Random Model Describing Bedrock Profile Abrasion. Mathematical Geosciences, 43 (5). pp. 583-591. DOI https://doi.org/10.1007/s11004-011-9343-8

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Abstract

We use a simple, collision-based, discrete, random abrasion model to compute the profiles for the stoss faces in a bedrock abrasion process. The model is the discrete equivalent of the generalized version of a classical, collision based model of abrasion. Three control parameters (which describe the average size of the colliding objects, the expected direction of the impacts and the average volume removed from the body due to one collision) are sufficient for realistic predictions. Our computations show the robust emergence of steady state shapes, both the geometry and the time evolution of which shows good quantitative agreement with laboratory experiments.

Item Type:	Article
Uncontrolled Keywords:	2011AREP; IA63;
Subjects:	02 - Geodynamics, Geophysics and Tectonics
Divisions:	02 - Geodynamics, Geophysics and Tectonics
Journal or Publication Title:	Mathematical Geosciences
Volume:	43
Page Range:	pp. 583-591
Identification Number:	https://doi.org/10.1007/s11004-011-9343-8
Depositing User:	Sarah Humbert
Date Deposited:	19 Jul 2011 17:27
Last Modified:	23 Jul 2013 10:02
URI:	http://eprints.esc.cam.ac.uk/id/eprint/2112

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