The simulations involve dropping particles sampled from a predefined distribution of particle sizes inside of a cylinder at randomized locations . Theoretical details of the particle packing simulations are given in Davis and Carter and Webb and Davis , for which a summary is provided in the second paragraph of the motivation section in Hall et al. . A proprietary Windows executable Table : Summary of 9 non-reparameterized simulation parameters and their bounds. xi , s i , and p i correspond to log-normal median of particle radii, log-normal shape parameter, and fractional prevalence (i.e. composition) for each of the three particle distributions. For additional description, see Appendix B.