Sizeable electrostatic potential variations have been observed in Kelvin Probe Force Microscopy maps recorded above few layer graphene sheets deposited on nanostructured ionic surfaces.These short-range (nm) lateral variations in the potential associated with surface features such as individual steps, step arrays, pits and defects, point to the possibility of modifying transport within the graphene sheet through nanoscale surface engineering of ionic substrates.We report calculations, based upon density functional theory using linear combination of atomic orbital methods, of graphene on structured KBr surfaces which are modeled within the point-charge approximation.