This work provides a solution to the inverse problem of the identification of parameters in the underground water flow based on the criterion of the output error .

The novelty of the work lies in the application for the first time of an evolutional algorism to the automatized calibration of the hydrogeological parameters of the bidimensional simulation model for aquiferous systems in a nonpermanent regime. AQUIMPE.

The social, theoretical and practical significance of this research is determined by the importance of the calibration stage in the use of the technology of mathematical simulation models of the underground water flow in an aquiferous system.The correct interpretation of the operation of the real aquiferous system, the design of its explotation policies and the evaluation of its water resources depend on the calibration result.

For its application to the Cuban aquiferous systems, a program in Borland Delphi 4.00 was made achieving as a result of this work an update of the calibration of Ciro and Ariguanabo aquiferous systems, getting for each of them a new group of hydrogeological parameters capable of reproducing their behaviour with greater precision and reliability.

From the results obtained we can conclude the following:

• It is proved that the global algorism SCE combined with the AQUIMPE simulation model, is a viable alternative for the solution of the inverse problem of underground hydraulics,
• The proposed method allows to reduce the economic costs of research and of policy outlining for the explotation of aquiferous systems by reducing the necessary time to make calibration,
• It is possible to reproduce with more precision the behaviour of real aquiferous systems. The above is achieved through the comparison of manual and computerized calibrations according to quantitative and qualitative made to both of them,
• It is proved that the SCE overcome the deficiencies presented by other softwares as PEST, based on nonlinear statistical methods, when calibrating aquiferous systems in nonpermanent regime,
• By using the proposed method it is achieved the development of the national technology for the mathematical modelling of aquiferous systems (AQUIMPE) because it includes the possibility of automatized calibration of the hydrogeological parameters.