Although the mathematization of the fluid hydrodynamics in (waste)water treatment plants by means of continuous modelling paradigms is well established, a profound mathematical understanding of closely related processes, such as the accumulation of suspended particles on filtration membranes, the key elements of filtration treatment systems, has not yet been achieved. By accounting for the spatial discreteness that is inherent to the formation of this so-called filtration cake through the use of a spatially explicit modelling paradigm, this proposal aims at developing a sound filtration cake model. Highresolution data of macroscale membranes, currently a missing factor in this research area, will create the foundation to set-up this model and gain the necessary knowledge. Finally, the latter model will be integrated with a continuous model that describes the hydrodynamics of the bulk fluid in order to attain a more trustworthy description of (waste)water treatment processes as a whole, following the trend towards integrated modelling.