The use of fractal dimensions in filtration

To enable the fractal characterisation of structures in filtration systems, a computer program has been written to simulate and measure the characteristics of particles growing on a filter surface in two dimensions. Two analysis techniques have been used to give both a roughness factor (using a perimeter fractal dimension) and density factor (using an enclosing circle fractal dimension) for the simulations. These techniques have been used to characterise both the overall structure of the simulated cake and the interstitial spaces between particles. Results have shown a correlation between simulation parameters and fractal dimension.