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在最近二十年中,讨论反演理论的文献大量地出现。对其中一些重要文献的最新观点进行评论是时候了,特别是有关地震应用方面的文献。在这里,我们不讨论有关文章数学方面的详细推导,而是评价它在解地震反演问题上应用的可能性。在这些所选的论文中,我们讨论的内容是:(1)研究频率域平滑的声波位场时,一维弹性系统盖尔芬德(Gelfand)和莱维坦(Levitan)(1951)和马琴科(Marchenko)(1950)等的经典文献;(2)伯里奇(Burridge)(1977)的文章,他的文章将盖尔芬德,莱维坦和马琴科的文章扩大到时间域,但是
In the last two decades there has been a great deal of literature on the theory of inversion. It is time to comment on the most up-to-date viewpoints on some of these important documents, especially on seismic applications. Here, we do not discuss the detailed derivation of article mathematics, but evaluate the possibility of its application in solving seismic inversion. In these selected papers, we discuss the following: (1) When studying the sonic field with a smooth frequency domain, one-dimensional elastic systems Gelfand and Levitan (1951) Marchenko (1950), etc .; (2) Burridge (1977), whose articles extend Galvinfand’s, Levitan’s and Mchenchen’s articles to the time domain, but