A procedure is developed to estimate the variability of the block size from pressure drawdown data, applying an optimization technique; in other words, the inverse problem is solved.

The confidence of the estimated results is evaluated by applying the confidence limits theory and the procedure is illustrated using data from a simulated pressure drawdown test. On the other hand, the estimated parameters of the variability of the block size were used to obtain results for the pressure derivative function; the agreement with the simulated pressure drawdown data was very good.

Finally, a theory was developed and applied to obtain the imbibition flow rate in water wet naturally fractured reservoirs, using the estimated parameters of the variability of the block size, in an oil recovery process by water injection.

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