### 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 language | English |
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Pages (from-to) | 583-591 |

Number of pages | 9 |

Journal | Mathematical Geosciences |

Volume | 43 |

Issue number | 5 |

DOIs | |

Publication status | Published - júl. 2011 |

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### ASJC Scopus subject areas

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

### Cite this

*Mathematical Geosciences*,

*43*(5), 583-591. https://doi.org/10.1007/s11004-011-9343-8

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

Research output: Article

*Mathematical Geosciences*, vol. 43, no. 5, pp. 583-591. https://doi.org/10.1007/s11004-011-9343-8

}

TY - JOUR

T1 - A Discrete Random Model Describing Bedrock Profile Abrasion

AU - Sipos, András A.

AU - Domokos, G.

AU - Wilson, Andrew

AU - Hovius, Niels

PY - 2011/7

Y1 - 2011/7

N2 - 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.

AB - 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.

KW - Bedrock profiles

KW - Firey's model

KW - Random model

KW - Shape evolution

UR - http://www.scopus.com/inward/record.url?scp=79959322988&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79959322988&partnerID=8YFLogxK

U2 - 10.1007/s11004-011-9343-8

DO - 10.1007/s11004-011-9343-8

M3 - Article

AN - SCOPUS:79959322988

VL - 43

SP - 583

EP - 591

JO - Mathematical Geosciences

JF - Mathematical Geosciences

SN - 1874-8961

IS - 5

ER -