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非弹性的表面波大尺度波形反演的理论方法是以如下三个方面提出的：①计算本征值和本征函数可获得每一阶的频散参数，并把体波的复数形式和波能的吸收引入非弹性中。②根据弗拉尔和斯奈德的理论方法，计算了非弹性表面波的激发和合成地震图，球阶非弹性频散的计算按Ｂｉｓｗａｓ－Ｋｎｏｐｐｏｆ公式被变换成平滑的弹性形式。③使用自伴微分算子导出关于模型参数的波形Ｆｒｅｃｈｅｔ导数，然后应用非线性反演拟合波形。
Inelastic surface wave large-scale waveform inversion of the theoretical method is based on the following three aspects: ① eigenvalues and eigenfunctions can be calculated to obtain the dispersion parameters of each order, and the complex wave form and wave Absorptive energy is introduced into non-elastic. ② According to the theoretical methods of Vlad and Snyder, the excitation and synthetic seismograms of inelastic surface waves were calculated. The calculation of the inelastic dispersion of spheres was transformed to a smooth and elastic form by the Biswas-Knoppof formula. (3) Using the self-adjoint differential operator to derive the waveform Frechet derivative of the model parameters, and then applying the nonlinear inversion to fit the waveform.