TY - GEN
T1 - A numerical implementation of landscape evolution models
AU - Lebrun, M.
AU - Darbon, J.
AU - Morel, J. M.
N1 - Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].
PY - 2016
Y1 - 2016
N2 - We propose a simple and fast numerical solution for the solution of a system of three partial differential equations modeling of landscape evolution. As remarked by several authors, the main physical laws that have been proposed in landscape evolution models can be converted into a minimal system of three partial differential equations. The first one is a transport equation governing the water run-off. A second equation governs the terrain evolution by the conjugate effects of detachment-limited erosion, creep and sedimentation. The third equation governs the transport of the suspended sediment load in water. The challenge that we address is to simulate in reasonable time such a system of equations on large digital elevation models acquired by satellite or aerial imaging. We reformulate each equation as a discrete conservative scheme on a raster. Furthermore a multiscale implementation leads to extremely fast simulations. This permits to simulate water run-off on fixed landscapes, and to explore and compare in reasonable time several models and their parameters. Last but not least, we address the problem of an efficient visualisation of a three phases results : the elevation, the water height and the sediment load. © 2016, European Association of Geoscientists and Engineers, EAGE. All rights reserved.
AB - We propose a simple and fast numerical solution for the solution of a system of three partial differential equations modeling of landscape evolution. As remarked by several authors, the main physical laws that have been proposed in landscape evolution models can be converted into a minimal system of three partial differential equations. The first one is a transport equation governing the water run-off. A second equation governs the terrain evolution by the conjugate effects of detachment-limited erosion, creep and sedimentation. The third equation governs the transport of the suspended sediment load in water. The challenge that we address is to simulate in reasonable time such a system of equations on large digital elevation models acquired by satellite or aerial imaging. We reformulate each equation as a discrete conservative scheme on a raster. Furthermore a multiscale implementation leads to extremely fast simulations. This permits to simulate water run-off on fixed landscapes, and to explore and compare in reasonable time several models and their parameters. Last but not least, we address the problem of an efficient visualisation of a three phases results : the elevation, the water height and the sediment load. © 2016, European Association of Geoscientists and Engineers, EAGE. All rights reserved.
UR - https://www.scopus.com/pages/publications/84973659209
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84973659209&origin=recordpage
U2 - 10.3997/2214-4609.201600381
DO - 10.3997/2214-4609.201600381
M3 - RGC 32 - Refereed conference paper (with host publication)
SN - 9781510822870
T3 - 2nd Conference on Forward Modelling of Sedimentary Systems: From Desert to Deep Marine Depositioned Systems
SP - 130
EP - 134
BT - 2nd Conference on Forward Modelling of Sedimentary Systems: From Desert to Deep Marine Depositioned Systems
PB - European Association of Geoscientists and Engineers, EAGE
T2 - 2nd Conference on Forward Modelling of Sedimentary Systems: From Desert to Deep Marine Depositioned Systems
Y2 - 25 April 2016 through 28 April 2016
ER -