The complete pseudo-three dimensional equations for the vertically averaged simplified suspension balance model (VASSBM) are presented for the simulation of the dynamics and deposition of concentrated turbidity currents. This simplified model is the result of the analysis of more exact equations for the flow and sedimentation process of turbidity currents. In previous reports we have presented the VASSBM model for two-dimensional flows of constant volume or constant sediment flux. Here we generalize the equations to describe three-dimensional flows. We conclude with discussions on how the model may be implemented for oil reservoir characterization.