Physically-based mathematical formulation for hillslope-scale prediction of erosion in ungauged basins

Aksoy H., Kavvas M., Yoon J.

Symposium on Erosion Prediction in Ungauged Basins (PUB) held at the 23rd IUGG General Assembly, Sapporo, Japan, 8 - 09 July 2003, pp.101-108 identifier

  • Publication Type: Conference Paper / Full Text
  • City: Sapporo
  • Country: Japan
  • Page Numbers: pp.101-108
  • Istanbul Technical University Affiliated: No


An explicit finite difference scheme for erosion and sediment transport on upland areas of a watershed is derived. The derivation is based on the unsteady state one-dimensional sediment continuity and momentum equations, simplified with the kinematic wave approximation. The derivation ends up with a linear partial differential equation. Upland erosion is thought of as sheet erosion incorporating the effects of rainfall and runoff by way of nonphysical calibration parameters. Calibration of these parameters is of great importance for ungauged basins where data do not exist. A finite difference scheme is chosen to solve the resulting equation, together with appropriate boundary and initial conditions. A hypothetical data set was used to evaluate the applicability of the model developed in the study. The performance of the model at the hillslope scale indicates that it has potential for application at the watershed-scale.