  Experimental realizations of disorder in optical lattices generate a
distribution of the Bose-Hubbard (BH) parameters, like on-site potentials,
hopping strengths, and interaction energies. We analyze this distribution for
bosons in a bichromatic quasi-periodic potential by determining the generalized
Wannier functions and calculating the corresponding BH parameters. Using a
local mean-field cluster analysis, we study the effect of the corresponding
disorder on the phase diagrams. We find a substantial amount of disorder in the
hopping strengths, which produces strong deviations from the phase diagram of
the disordered BH model with solely random on-site potentials.
