A Discrete Random Model Describing Bedrock Profile Abrasion

@article{Sipos2011ADR,
  title={A Discrete Random Model Describing Bedrock Profile Abrasion},
  author={Andr{\'a}s A. Sipos and G{\'a}bor Domokos and Andrew Wilson and Niels Hovius},
  journal={Mathematical Geosciences},
  year={2011},
  volume={43},
  pages={583-591}
}
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… 
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11 Citations
Background Citations
6
Methods Citations
2
Results Citations
1

11 Citations

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Flume Experiments on the Erosive Energy of Bed Load Impacts on Rough and Planar Beds
Understanding bed load impact dynamics on exposed bedrock in rivers is crucial to quantifying the erosive energy of a stream. Observations of the bed load saltation trajectories and impact energies…
Breaking down chipping and fragmentation in sediment transport: the control of material strength
Abstract. As rocks are transported, they primarily undergo two breakdown mechanisms: chipping and fragmentation. Chipping occurs at relatively low collision energies typical of bed-load transport,…
An SDE model for deterioration of rock surfaces
  • E. Allen
  • Geology
    Stochastic Analysis and Applications
  • 2019
Abstract A stochastic differential equation (SDE) is derived and examined for approximately modeling the breaking down of rock surfaces through random processes. The rock surfaces include, for…
Upstream-facing convex surfaces: Bedrock bedforms produced by fluvial bedload abrasion
Field instrumentation for high‐resolution parallel monitoring of bedrock erosion and bedload transport
River incision is fundamental in shaping the Earth's surface. In mountainous regions with steep river beds, fluvial bedrock erosion by bedload transport is an important mechanism forming channels.…
The robustness of equilibria on convex solids
We examine the minimal magnitude of perturbations necessary to change the number $N$ of static equilibrium points of a convex solid $K$. We call the normalized volume of the minimally necessary…
A topological classification of convex bodies
The shape of homogeneous, generic, smooth convex bodies as described by the Euclidean distance with nondegenerate critical points, measured from the center of mass represents a rather restricted…
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TLDR
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