A model for the combustion of a mixture of spent oil shale and shale ash for a range of particle sizes in a vertical dilute phase transport contactor is presented. The “grain” model for a sphere of unchanging size is used to describe the combustion of a single particle of spent shale. The rate of gas-solid heat transfer is assumed to be controlled by gas film forced convection. The aerodynamic properties, namely terminal and slip velocities of particles and choking conditions, are taken into account. Realistic conditions of inlet air and solids to the combustor are determined from the mass and energy balances for a hypothetical, 50,000 barrels per day (7.95 10 61/day), energy self-sufficient oil shale processing plant. The fraction of the largest particle size is shown to govern the aerodynamic characteristics and hence the design of the combustor. The sensitivity of the profile of average particle temperature to a number of shale-related properties is evaluated; for a typical material such as Condor brown spent shale, the ranking in descending order is as follows: heat of combustion, particle specific heat capacity, initial char content, particle terminal velocity, particle density, intrinsic combustion rate coefficient, pore effective diffusivity and choking velocity of the top size particle. The rate of combustion of the Condor spent shale/shale ash mixture as a whole in the contactor is controlled by the intrinsic kinetics.