In this paper, we present a physics motivated modeling method for volcanic clouds as a two fluids model. Some previous methods model smoke or clouds as one fluid, but the volcanic clouds can not be treated as one fluid. The volcanic clouds consist of the pyroclasts, the volcanic gas and the entrained air. Since the pyroclasts and the volcanic gas can be treated as one fluid, called magma, the volcanic clouds are regarded as two fluids, the magma and the entrained air. The modeling in the 3D analysis space can be simplified to enhance the performance. Since our approach is physics motivated, it can be used to generate physically reasonable and realistic images of volcanic clouds from the volcanic initial eruption to the equilibrium situation.