  In our recent work [8], we have studied the homogenization of the Poisson
equation in a class of non periodically perforated domains. In this paper, we
examine the case of the Stokes system. We consider a porous medium in which the
characteristic distance between two holes, denoted by $\epsilon$, is
proportional to the characteristic size of the holes. It is well known (see
[1],[17] and [19]) that, when the holes are periodically distributed in space,
the velocity converges to a limit given by the Darcy's law when the size of the
holes tends to zero. We generalize these results to the setting of [8]. The
non-periodic domains are defined as a local perturbation of a periodic
distribution of holes. We obtain classical results of the homogenization theory
in perforated domains (existence of correctors and regularity estimates uniform
in $\epsilon$) and we prove $H^2$--convergence estimates for particular force
fields.
