Due to the discrepancy between the previous theoretical description of the filtration process and the actual structural changes in the filter layer, a new holistic approach to describing the filtration process is introduced, which is based on an analytical description of the structural changes of the filter packing. This article presents some new aspects for the description of filtration processes that result from this new approach. Here, a new specific one-dimensional spatial distribution function for newly deposited particles in the filter packing during the filtration process is introduced to describe the deposition profile of newly deposited particles of any filtration process in dimensionless form. While the initial deposition profile is determined by the filtration conditions and the filter medium together, the final deposition profile is independent of the given filter medium and a function determined by the given filtration conditions. During the clogging phase, the one-dimensional deposition profile gradually takes on its final form. The systematic change in the one-dimensional deposition profile during a continuous filtration process can be evaluated using a correlation analysis to describe the kinetics of this dynamic process.