频率域波动方程的双参数识别方法

The Method of Discerning Two-Paramaters from Wave Equation in Frequency Domain

利用反射波地震记录恢复波动方程的两个系数以研究地球内部构造，是当前应用地球物理研究的热点之一。本文在波动方程反演方法的理论基础上，导出了频率域识别介质的密度，波速两个重要参数的新算法。从而把当前的波动方程单参数反演方法推广为双参数反演方法。通过理论模型及实际测井资料的反演试算对比，均获得良好效果。在算法中还省去了Ｇｒｅｅｎ函数的繁杂计算，节省了计算量，增加实用性。

The reflection wave seismogram is made use of recovering two paramaters from wave equation in order to research the subsurface structure. This is one of the popular topic on geophysical application. In this paper, the new method of discerning two important paramaters medium density and wave velocity is deduced on the basis of the theory about the inversion method of one-parameter inversion from wave equation and is applied successfully to the calculation of theoretical model and real logging data. This method omitted Green fUnction. The amount of Calculation is decreased greatly and its application is increased.