波动方程CT技术在地震数据处理中的应用

本文从畸变的Born近似的微扰技术出发,给出了利用广义Radon变换和Fourier积分算子的理论反演介质间断性的原理.将声学的广义Radon变换与经典Radon变换进行类比,近似地导出了声学广义Radon变换的反演公式. 本文对于反射地震学的情况,提出了一种拟线性化方法,考虑了成象点的一次散射场,从某种程度上减少了Born近似对弱散射的苛求. 利用同一模型的理论记录和物理实验记录的反演计算结果对提出的方法进行了验证,并讨论了进一步提高成象精度的方法.

APPLICATION OF WAVE EQUATION TOMOGRAPHY TO SEISMIC DATA PROCESSING

This paper is started with small perturbation technique of distorted Bern's approximation, presented the principle of using generalized Radon transform (GRT) and Fourier integral operator to inverse discontinuities in media. With the help of the method in which the acoustic GRT and classical Radon transform (CRT) was compared, the inverse formula of acoustic GRT was approximately derived.For specific case of zero offset configration, the paper proposed appseudo-linearized method. It considered the effects of the scattering point. The excessive demand for small perturbation in Bern's approximation in some degree was decreased.Using the inversed results for same model with theoretical and physical method, we tested the proposed theory and discussed the method to improve the imaging precision further.