Birth-Death Modeling of Deep Bed Filtration: Sectional Analysis

Stochastic models, namely, the second-order, pure birth process and the linear, birth-death process, have been employed in conjunction with the Carman-Kozeny equation to simulate the performance of the deep-bed filter in terms of the pressure drop dynamics under a constant flow condition. These models take into account the blockage of pores by suspended particles and/or scouring of deposited particles; the filter bed is assumed to be composed of several compartments. The present models appear to represent the majority of the available experimental data.