一维弹性波方程双参数反演的省去Green函数法

One-dimensional Two-Parameter Inversion of Elastic Wave Equation Eliminating Green Function Method

为了提高一维弹性波方程反演的精度,推出了严格省去Green函数的反演方程,并通过选取适当的稳定泛函、合理地运用正则化方法,获得了即可以同时反演介质的密度和弹性参数,也可以同时反演出介质密度和波速的新方法,这可为地震勘探提供较多的岩性参数.经过一系列的数值模拟计算,验证了该方法提高了反演的精度.

In order to improve the one-dimensional elastic wave equation inversion accuracy, this paper introduced a rigorous Green function, eliminating the need for the inversion equation, and stability by choosing the appropriate functional and rational use of regularization methods, which can be obtained at the same time inversion medium density and elastic parameters can also be performed at the same time anti-medium density and velocity of the new method, which can provide greater seismic lithologicM parameters. After a series of numerical simulation to verify that the method improves the accuracy of inversion.