Estimation of Self-Purification of Polluted Rivers Based on the Stable Water Quality Equations

Abstract

An estimation problem of the water quality of a river is considered. The BOD and DO are regarded as two major quantities to investigate the water quality. First, based on the couple of steady-state transport equations for substance concentrations, the stable water quality equations are derived, and then its state space representation is obtained. By formulating the observation process from which the observation data on the BOD and DO are measured, the Kalman filter is derived. Finally, simulation studies are presented.