Modelling and simulation of deep-bed filtration: a stochastic compartmental model

✍ Scribed by R. Nassar; Song T. Chou; L.T. Fan

• Publisher: Elsevier Science
• Year: 1986
• Tongue: English
• Weight: 1007 KB
• Volume: 41
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(86)87118-4

✦ Synopsis

To gain insight into the performance of a deep-bed filter, it is essential to determine the spatial distribution of suspended particles in the bed as a function of time. More often than not, a filtration process behaves stochastically rather than deterministically; therefore,a stochastic compartmental model is proposed to simulate the concentration dynamics of susDended narticles in the liauid and solid Darts over the different sections of the filter. In this study, the filter b&l is divided into an arbitiary number of compartments in the direction of flow. The model yields the distribution of suspended particles along the bed at any time t, including those exited from the bed up to that time, and the me&and variance-of the distribution. The parameters of the model are estimated by fitting the model to the experimental data. The reasonably good agreement between the simulated results and experimental data ensures the applicability of the present model.