The simulated annealing solution technique haa been a powerful reservoir characterization tool in geostatistics. ThB paper proposes an algorithm that uses this method to constrain the permeabtity distribution of a given reservoir model to the well test data collected at several wells. The technique can be used for single or multiple well tests.In order to keep the execution time of this algorithm within an acceptable range, the perturbation on the pressure transient due to a local permeability heterogeneity is determined in the form of an. analytic influence function.The results given by this approximation are compared to the results given by a simulator, ,and its use in the simulated annealing algorithm is defined according to its reliability. The algorithm is tested on an example, showing that the use of the analytic influence function allows considerable reduction in the computing time without decreasing the robustness of the method.
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