Recently, we have shown that inverse problem theory can be applied to generate realizations of a two-dimensional permeability field conditioned to the variogram and pressure data. In this work, we extend the approach to the generation of well skin factors and two-dimensional porosity and permeability fields that are conditioned to porosity and permeability variograms and multi well pressure data. Multiwell production data as well as multiwell interference test data are considered. We show that in certain instances the incorporation of "hard" porosity and permeability data reduces the uncertainy in our estimates of rock properties and well skin factors.

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