Dynamic parameter estimation problem for a water quality model

Abstract

This work deals with the parameter estimation problem for a lake eutrophication model. The model is a dynamic parameter estimation one, which is solved with a simultaneous approach with an nonlinear programming solver. Gradients of state variables are considered in the vertical direction, rendering a partial differential equation problem which is transformed into a differential algebraic (DAE) one by spatial discretization in two water layers. Main biochemical and chemical parameters have been obtained, which allow a close representation of the lake dynamics.