用进化策略方法反演二维弹性波动方程的参数

INVERSION OF PARAMETERS IN 2-D ELASTIC WAVE EQUATION USING EVOLUTION STRATEGY ALGORITHM

  • 摘要: 从材料响应的理论合成与实际测量数据相拟合出发,将二维弹性波动方程的参数反演问题归结为非线性多峰函数的最优化问题.全局最优解的求解采用了进化策略法,并同遗传方法的反演结果进行了比较.数值结果表明,用进化策略方法进行参数反演的精度大大高于用遗传方法进行参数反演的精度,进化策略反演是一种良好的非线性反演方法.

     

    Abstract: According to the principle that the computed response and the measured response should be fitted,the parameter inverse problem of 2-D elastic wave equation is reduced to an optimal problem of nonlinear multimode functions.The evolution strategy algorithm is used to search the global optimal solution and the inverse results are compared with those using genetic algorithm.Numerical simulations show that inversion accuracy obtained using evolution strategy algorithm is much higher than that obtained using genetic algorithm.The evolution strategy algorithm is an excellent nonlinear inversion method.

     

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