Abstract:On the basis of classical optimization theory,the nonlinear waveform inversion technique for calculating elastic constant,wave impedance and density of acoustic and isotropic elastic media is used to estimate the elastic parameter and density of elasticanisotropic medium.The iterative formulae for inverse computing the parameters are deduced in detail.In order to effectively use the gradient component of the target function corresponding to each model parameter,we develop the parameter revision technique using subspace method,so that the revision coefficient of each model parameter can be determined by doing optimization to speed the convergence of iteration operation.