Depth filtration : Fundamental investigation through three-dimensional trajectory analysis

A mathematical model (array of spheres or AOS Model) of aqueous depth filtration was developed using trajectory analysis performed on a porous media model comprised of a face-centered cubic packing of spheres. To extend removal efficiency predictions beyond the grain-size scale and take into account the presence of densely and sparsely packed regions in an actual filter bed, a parallel deficit porosity compensation scheme was developed and applied. A correlation for single collector efficiency was developed from trajectory results and, using the parallel deficit porosity compensation scheme, compared to an existing model and experimental results. Although the model discussed herein was developed with the intent of advancing the understanding of depth filtration, this work offers tools for investigating and insights into particle fate and transport in other circumstances, e.g., groundwater aquifers. This model represents the first use of a porous media model that explicitly accounts for grain contact point...