  The pressure and flow statistics of Darcy flow through a random permeable
medium are expressed in a form suitable for evaluation by the method of
simulated annealing. There are several attractive aspects to using simulated
annealing: (i) any probability distribution can be used for the permeability,
(ii) there is no need to invert the transmissibility matrix which, while not a
factor for single-phase flow, offers distinct advantages for the case of
multiphase flow, and (iii) the action used for simulated annealing is eminently
suitable for coarse graining by integrating over the short-wavelength degrees
of freedom. In this paper, we show that the pressure and flow statistics
obtained by simulated annealing are in excellent agreement with the more
conventional finite-volume calculations.
