In this paper, we describe detailed simulations of low mach number Newtonian flow through randomly generated porous media for a wide range of Reynolds numbers. The simulations were carried out using the lattice Boltzmann method, which has become an established tool for predicting flows in highly complex geometries. Several quantities were determined by an a posteriori analysis of the flow-fields: The pressure drop, the dissipation caused by shear and by elongation of the fluid, and the tortuosity. We were able to show that. the pressure drop is mainly caused by the dissipation due to shear and elongation, and that the tortuosity is not related to the total dissipation, but to the relationship of dissipation and shear.