caa a22 4500 477064094 CHVBK 20180405111407.0 cr unu---uuuuu 170330e19960301xx s 000 0 eng 10.1007/BF00192062 doi (NATIONALLICENCE)springer-10.1007/BF00192062 A physical statistical approach to erosion [Elektronische Daten] [S. Hergarten, H. Neugebauer] Erosion is a complex process consisting of many components such as surface runoff, impact of raindrops, wind forces, soil and rock mechanics, etc. Trying to integrate all these processes into a physical model seems to be hopeless. In order to understand the variety of natural shapes and patterns produced by erosion we present an integrated statistical approach. Our model is based on simple physical constraints for the separation of amalgamated particles (abrasion) and for the movement of loose particles (denudation) and on the laws of statistics. After some simplifications, we obtain a nonlinear system of partial differential equations which is solved using finite volume techniques. The model is suitable for the formation of different types of rill systems and the episodic behaviour of erosion processes, a kind of self-organized criticality. Besides effects of inhomogeneities, e.g. the formation of terraces can be investigated. Springer-Verlag, 1996 Erosion nationallicence Abrasion nationallicence Denudation nationallicence Rill systems nationallicence Self-organized criticality nationallicence Statistical models nationallicence Hergarten S. Geodynamics-Physics of the Lithosphere, Bonn University, Nussallee 8, D-53115, Bonn, Germany aut Neugebauer H. Geodynamics-Physics of the Lithosphere, Bonn University, Nussallee 8, D-53115, Bonn, Germany aut Geologische Rundschau Springer-Verlag 85/1(1996-03-01), 65-70 0016-7835 85:1<65 1996 85 531 https://doi.org/10.1007/BF00192062 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00192062 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hergarten S. Geodynamics-Physics of the Lithosphere, Bonn University, Nussallee 8, D-53115, Bonn, Germany aut NATIONALLICENCE 700 1- Neugebauer H. Geodynamics-Physics of the Lithosphere, Bonn University, Nussallee 8, D-53115, Bonn, Germany aut NATIONALLICENCE 773 0- Geologische Rundschau Springer-Verlag 85/1(1996-03-01), 65-70 0016-7835 85:1<65 1996 85 531 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer