A Discrete Random Model Describing Bedrock Profile Abrasion

András A. Sipos, G. Domokos, Andrew Wilson, Niels Hovius

Research output: Contribution to journalArticle

7 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)583-591
Number of pages9
JournalMathematical Geosciences
Volume43
Issue number5
DOIs
Publication statusPublished - Jul 2011

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abrasion
bedrock
Collision
collision
Control Parameter
Model
Sufficient
geometry
Prediction
prediction
Experiment
Profile

Keywords

  • Bedrock profiles
  • Firey's model
  • Random model
  • Shape evolution

ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • Earth and Planetary Sciences(all)

Cite this

A Discrete Random Model Describing Bedrock Profile Abrasion. / Sipos, András A.; Domokos, G.; Wilson, Andrew; Hovius, Niels.

In: Mathematical Geosciences, Vol. 43, No. 5, 07.2011, p. 583-591.

Research output: Contribution to journalArticle

Sipos, András A. ; Domokos, G. ; Wilson, Andrew ; Hovius, Niels. / A Discrete Random Model Describing Bedrock Profile Abrasion. In: Mathematical Geosciences. 2011 ; Vol. 43, No. 5. pp. 583-591.
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