  The direct bond percolation process (Gribov process) is studied in the
presence of irrotational velocity fluctuations with long-range correlations.
The perturbative renormalization group is employed in order to analyze the
effects of finite correlation time on the long-time behavior of the phase
transition between an active and an ab- sorbing state. The calculation is
performed to the one-loop order. Stable fixed points of the renormalization
group and their regions of stability are obtained within the three-parameter
$(\epsilon,y,\eta)$- expansion. Different regimes corresponding to the rapid-
change limit and frozen velocity field are discussed.
