旨在构造一种新的地震波散射非线性反演方法.将函数论中的不动点理论引入到地震波散射非线性反演中,并构造出了波相空间里关于速度参数的具体的压缩映射算子,从而从理论上保证了速度参数不动点的存在性和寻找途径.在此基础上还证明了利用此速度参数的不动点和正演所得到的相应的波值也是波函数本身的不动点,并利用不动点的稳定属性得出此不动点是一个最优的点.最后,文中还用该方法给出了具体的数值算例,间接地证实了本方法的实用性. Aiming at constructing a new nonlinear inversion method of seismic wave scattering.The fixed point theory of the functional theory is introduced into nonlinear inversion of seismic wave scattering and a concrete compression mapping of velocity parameters in wave phase space Operator, theoretically guarantee the existence and search of the fixed point of the velocity parameter.On the basis of this, it is also proved that the corresponding wave value obtained by using the fixed point and forward of the velocity parameter is also the wave function itself The fixed point is obtained by using the stable property of the fixed point as an optimal point. Finally, a numerical example is also given by the method, which indirectly proves the practicability of this method .