2006 AIChE Annual Meeting
(210g) Simulation of Random Sphere Packings Using an Evolutionary Optimization Method
In the first example we show that our method is capable of generating very large packings (with over 1 million spheres) in reasonable computation times. In a second example, quantitative correlation functions are imposed as a restriction in the optimization process, which leads to sphere-packings with desired spatial structure (e.g., layering or agglomeration of like-sized particles). In a third example, we demonstrate the simulation of sphere packings inside specifc boundary geometries. These latter simulations are useful in the modeling of a number of applications in chemical engineering. For instance, packed bed reactors can be simulated by random sphere packings in a cylindrical geometry, while a packing in an aperture bounded by surfaces with irregular geometry is a good representation of hydraulically fractured oil reservoirs containing proppant particles.
The novelty of this new algorithm is that these widely varying constraints are all contained in a single objective function in the optimization procedure, which allows for a powerful and highly general algorithm. The algorithm can be extended to packings of non-spherical particles.