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This paper gives an outline of an algorithm used for ranking realizations from stochastic geological models. The method is based upon the combination of a random walk method and the permeability field which results from the geostatistical or geological model. The method has been tested as shows that the realizations can be ranked with respect to various reservoir responses, such as breakthrough times and recoveries. “The ball no question makes of ayes and noes but right or left, as strikes the player goes; and He that toss’ed thee down into the field, He knows about it all - He knows - He knows!” Omar Khayyam