Analytical Solution Of Reactive Hybrid Cells In Series (Hcis) Model For Pollution Transport Through The Rivers

The application of accurate transport models is critical in tracer routing through river reaches. Reactive models are widely used because of the reaction and degradation properties of some pollutants with bed and bank materials, and cell-based theoretical models are among the most popular for contaminant transport simulation. This study investigates the reactive form of cells in a series model. A new analytical equation is proposed that includes a degradation term for sudden mass release in a river reach. To consider the inaccuracy of previously proposed equations, we attempted to rearrange separate transport actions such as advection, dispersion and degradation through the cells of a length unit. The cell residence times of mixed cells were equated, and the degradation action was only forced to the second cell. The parameter number of the solution was lower than in previously proposed models. Synthetic datasets of the advection-dispersion-degradation equation were used to examine model performance. The model was found to work well in the first and later units. The numerical convolution method was used in the second to fourth units, and it also fitted synthetic data. The previously proposed equation of reactive HCISD was imprecise in the convolution method.