  Doping and disorder are inseparable in the superconducting cuprates. Assuming
the simplest possible disordered doping, we construct a semiphenomenological
model and analyze its experimental consequences. Among the affected
experimental quantities are the ARPES spectra and thermodynamic properties.
  From our model we make a prediction for the width of the local
superconducting gap distribution with the only experimentally unknown parameter
being the superconducting correlation length. Thus, our model provides a direct
way of determining the superconducting correlation length from a known
experimental gap distribution.
