  We formulate a real-space renormalization scheme that allows the study of the
effects of bond randomness in the Heisenberg antiferromagnetic spin-1 chain.
There are four types of bonds that appear during the renormalization flow. We
implement numerically the decimation procedure. We give a detailed study of the
probability distributions of all these bonds in the phases that occur when the
strength of the disorder is varied. Approximate flow equations are obtained in
the weak-disorder regime as well as in the strong disorder case where the
physics is that of the random singlet phase.
