EGU2020-7031, updated on 12 Jun 2020
https://doi.org/10.5194/egusphere-egu2020-7031
EGU General Assembly 2020
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.

A model for the longitudinal patterns shaped by water on erodible rocks

Matteo Bernard Bertagni and Carlo Camporeale
Matteo Bernard Bertagni and Carlo Camporeale
  • Politecnico di Torino, DIATI, Torino, Italy (matteo.bertagni@polito.it)

The interactions between water and rocks create an extensive variety of marvelous patterns, which span on several classes of time and space scales. In this work, we provide a mathematical model for the formation of longitudinal erosive patterns commonly found in karst and alpine environments. The model couples the hydrodynamics of a laminar flow of water (Orr-Somerfield equation) to the concentration field of the eroded-rock chemistry. Results show that an instability of the plane rock wetted by the water film leads to a longitudinal channelization responsible for the pattern formation. The spatial scales predicted by the model span over different orders of magnitude depending on the flow intensity and this may explain why similar patterns of different sizes are observed in nature (millimetric microrills, centimetric rillenkarren, decametric solution runnels).

How to cite: Bertagni, M. B. and Camporeale, C.: A model for the longitudinal patterns shaped by water on erodible rocks, EGU General Assembly 2020, Online, 4–8 May 2020, EGU2020-7031, https://doi.org/10.5194/egusphere-egu2020-7031, 2020

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