【摘要】 本文以地震波广义散射(包括透射、折射、反射、绕射等)为背景,对其反演问题的发展状况做了一个回顾.文中着重介绍了在地震波逆散射问题研究过程中,各种数学、物理的基本理论和基本假设是如何被应用于非线性偏微分方程这一复杂问题的求解过程的.同时,结合对地震波逆散射问题的认识,简单介绍了与之相关的数学方法及其在应用中存在的问题.更多还原

【Abstract】 In this paper, the inverse question for seismic waves of generalized scattering has been reviewed. It is emphasized how some basically mathematical and physical theories and basic assumptions are applied to solving nonlinearly partial differential equations, such a complicated problem, in research into inverse scattering of seismic waves. Also, a brief introduction on problems in application of the above-mentioned mathematical methods on inversion of inverse scattering of seismic waves are discussed.更多还原