Abstract: With the limit of the shortcomings of the slow convergence of the common simulated annealing algorithm,the fast simulated annealing algorithm is proposed,which is based on the generalized Boltzmann-Gibbs statistics and the turbulent model derived from temperature dependent pseudo Cauchy distribution.It speeds up the convergence rate of simulated annealing algorithm by changing the model disturbance,acceptance probability and temperature lowering way.Application of this method to the published data shows that the result is high accuracy,and the speed is much higher than any other methods.Hence,the fast simulated annealing algorithm is a high efficient method which is worth to be applied to the identification of aquifer parameter.