Sewon Bantul wastewater stabilization pond sediment using the diffusion model

Abstract

The pollutant particles contained on wastewater stabilization pond have the ability to settle at the bottom of the pond. This phenomena is often referred to a sedimentation process. A mathematical model of sedimentation process in wastewater stabilization pond is constructed using a diffusion model. We formulate the model in two different perspective that are one dimensional spread and two-dimensional spread of waste particles. The purpose is to show the distribution of each particle over the entire surface of the pond. The finite difference method is used to gain the analytical solution of the model based on Taylor expansion. The numerical simulation indicates that that the sediment distribution is increasing over the time depend on the number of sediment concentration in the water, and the sedimentation process is moving from initial side to the boundary level of stabilization pond.