might be fun to try to find parameters that agree well with the statistics of hi res lidar data, perhaps conditioned on geological maps. E.g. describe a geological history with layers of different formations and a pattern of uplift, and get a terrain which agrees with it statistically.

Without simulating erosion you're not going to get a faithful recreation of any particular geological history, but you could get something that looked consistent by virtue of being consistent with the statistics of that topography.