Inverse flood wave routing using saint venant equations

Abstract EN

The problem of inverse flood routing is considered in the paper.

The study deals with Euphrates River in Iraq.

To solve the inverse problem the Dynamic wave equations of Saint Venant are applied, First the downstream hydrograph routed inversely to compute the upstream hydrograph, Two models for inverse finite difference scheme of Saint Venant Equations (explicit and implicit schemes) are applied.

Then the sensitivity analysis studied for weight factors parameters that effect on the solution and study the stability and accuracy of the result (inflow hydrograph).

Finally, the computed inflow hydrograph compared with the observed inflow hydrograph and analyze the results accuracy for both inverse routing methods to evaluate the most accurate one.

The results showed that the schemes generally provided reasonable results in comparison with the observed hydrograph and the results for inverse implicit scheme of Saint Venant equations are more accuracy and less oscillation than that obtained by the inverse explicit scheme.