  Total reaction cross sections of deuteron, $\sigma_d^{\rm R}$, are calculated
by a microscopic three-body reaction model. The reaction model has no free
adjustable parameter and applicable to reactions at various deuteron incident
energies $E_d$ and with both stable and unstable nuclei. The predicted
$\sigma_d^{\rm R}$ are consistent with those evaluated by a phenomenological
optical potential for $E_d\leq 200$ MeV in which the potential has been
parametrized. A simple formula of $\sigma_d^{\rm R}$ up to $E_d=1$ GeV, as a
function of $E_d$, the target mass number $A$ and its atomic number $Z$, is
given.
