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Abstract This work is based on developed quantitative correlations that describe the deviations of the well test permeability from the four common mathematical-averages (arithmetic, harmonic, volume-weighted and geometric averages), against a hetrogeneity index estimated from reservoir-permeability limits (kmin and kmax). These correlations were constructed through the analysis of more than 1,500 synthetic numerical simulation models covering all well models (vertical, partial penetration, hydraulically fractured, and horizontal wells) and most boundary models in both single and dual porosity reservoirs. As an application (among many possible) to these correlations, the well-test permeability was taken to be approximately equal to the geometric average permeability within the radius of investigation of the test. Implementing this assumption to the mathematics of simple kriging, a new kriging approach was developed that is capable of generating different realizations for the permeability distribution nearly all are significantly more representative than any of the other kriging techniques as proved by case studies |