Analysis of deep bed filtration data: Modeling as a birth‐death process

To simulate the performance of a deep bed filter in terms of the pressure drop dynamics under a constant flow condition, a fairly general stochastic model, namely, the birth‐death process, which takes into account both blockage of the pores by suspended particles and scouring of deposited particles, is combined with the Carman‐Kozeny equation. This model is relatively simple in that the entire bed is spatially lumped and it contains only two parameters, α and β, which are fairly easy to identify. In spite of this simplicity, the model is capable of representing the majority of the available experimental data.