叠前共炮点道集的奇性反演研究

讨论了地震波场的Fourier积分算子奇性反演理论与方法，得出常数背景假设条件下二维共炮点道集奇性反演的解析表达式．构造了两个理论地震模型，分别进行二维有限差分正演与奇性反演的数值计算将二维Fourier积分算子奇性反演方法用于野外的二维地震勘探叠前共炮点记录．在勘探范围内，当介质波速变化相对背景波速符合小扰动假设时，理论模型与实际地震数据的计算结果表明这种奇性反演方法的有效性和实用性

THE SINGULARITY INVERSION FOR THE UNSTACKED COMMON-SOURCE GATHER

In this paper, we discuss the theory and method of the singularity inversion for seismic wavefield data with the Fourier integral operator, and obtain an analytic expression of the singularity inversion for the 2-D unstacked common-source gather in constant background velocity. We establish two theoretical seismic models and respectively implement 2-Dfinite-difference modeling and singularity inversion to them. For the first time, we use 2-Dsingularity inversion method to raw field unstacked common-source gather data. Computing results, both for the theoretical modals and for the raw field data, show that the effects of singuldrity inversion are satisfactory for the regions where the variations of medium velocity conform to the assumption of small perturbation in comparison with the background velocity.