【摘要】 以地震波反演为背景 ,对非线性反演问题的某些最新进展做了系统的分析和介绍 ;着重对地震波反演理论中一些主要方法发展过程中的数学、物理的基本理论和基本假设做了分析、讨论和总结 ,而非面面俱到的阐述地震波反演理论本身的发展状况 .在此基础上 ,讨论了地震波反演问题的数学研究基础和所面临的问题及假设应注重的方面 ,并对较强烈地下介质物性异常所造成的非弱散射的反演问题做了分析和展望更多还原

【Abstract】 On the background of research into the seismic inversion, new progress of the nonlinear inverse is introduced in this paper. Especially, the development, basic theories and assumptions on some major theories of seismic inversion are analyzed, discussed and summarized in mathematics and physics. Also, the problems faced by the mathematical basis of investigations of the seismic inversion are discussed, and inverse questions of strongly seismic scattering due to strong heterogeneous media in the Earth interior are analyzed and viewed.更多还原