Formation and dynamics of solid deposits during consecutive solid-liquid or liquid-solid aerosol filtration is analyzed by means of numerical modeling. A new numerical model has been proposed which enables taking into account changes of morphology of deposits and an influence of these changes on single fiber efficiency. This model investigates the displacements of solid particles inside the deposit. Forces which cause these displacements arise from the presence of small amount of liquid inside the deposit. Knowledge of the dynamics of such deposits allows us to compute the dynamics of single fiber efficiency at different process conditions. Results of numerical modeling has been compared with experimental results available in literature.