This thesis examines the migration of small disks through a Galton board. A study of single disk and a study of multiple disk migration through the board are described. Numerical simulations are used to quantify disk collisions with other disks and board obstacles. Disk size with respect to the board pore sizes and disk concentration are varied among trials. By analyzing collisions, this thesis provides insight into the effects of the aforementioned variables on disk transit time through the board, disk trajectory and lateral spread, collision count, and disk position with respect to time, as well as on the number of instances of clogging within the board. This study serves as a fundamental baseline for further studies on migration of fines through porous media (particularly disperse injections).