人们已经讨论过将反射数据进行反演来确定地下声速结构的问题。我们探讨了这个问题的简化的一维(1-D)形式。在这里,我们假设从冲击源发出的平面波通常入射于深度层状介质。特别是我们比较了:由威廉(Ware)和阿克(Aki,1969)发表的哥毕劳特(Goupillaud,1961)的“直接、离散”的一维波阻抗反演方法,以及格雷(Gray)和海岑(Hagin,1982)的“迭代、连续”的一维速度或声波阻抗反演方法。虽然,就这两种方法的推导和实现方法来说,看起来它们的差别很大,但是,它们是互相有联系的,可以看出在两个重要的方面,它们是基本上等价的。第一,每一种方法都可以从另一种方法推导出来。这一点特别导至了改善格雷-哈岑(G—H)模式的应用能力。第二,由于前一个等价关系,每种方法都利用了在重新构组的剖面(即速度剖面)中同样数量的信息。这些信息是介质中一定深度 x,或者旅行 The problem of determining the structure of the subsurface sound velocity by inverting the reflection data has already been discussed. We explored a simplified one-dimensional (1-D) form of the problem. Here, we assume that the plane wave emitted from the impact source is usually incident on the deep layered media. In particular, we compare the “direct and discrete” one-dimensional wave impedance inversion method of Goupillaud (1961) published by Ware and Aki (1969) And Hagin (1982) for “iterative, continuous” one-dimensional velocity or acoustic impedance inversion methods. Although these two methods appear to differ greatly in their derivation and implementation, they are interrelated and one can see that they are essentially equivalent in two important ways. First, each one can be derived from another. This, in particular, led to the application of the G-H model. Second, each method utilizes the same amount of information in the reconstructed profile (ie, the velocity profile) due to the previous equivalence relationship. The information is a certain depth of the media x, or travel