分区非均匀介质积分方程地震正反问题及其近似解

分区非均质性是地球盆地结构的固有特征,研究基于地球盆地结构固有特征的地震正反问题是地震学和勘探地震学长期攻关的难题,具有重要科学意义和广泛的实际应用价值。基于描述地震波在分区非均匀介质中传播的广义Lippmann-Schwinger积分方程，以申请人在该方向的多年研究积累为基础，本项目拟完善分区非均匀介质地震波传播模拟及其近似解研究，建立基于地球盆地结构固有特征的地震正问题全波解和逼近解系列。针对复杂构造地震成像难以解开的"死结"问题，本项目拟利用扰动积分方程及其Born序列 和Rytov序列逼近公式，研究地震响应频率扰动与构造形态变化量和速度分布变化量之间的相互作用机制，发展具有原始创新的构造形态和速度分布联合反演成像方法，建立基于地球盆地结构固有特征的地震反问题及其近似解序列，为复杂构造成像探索一条新思路。

Piecewise heterogeneity is an inherent characteristic of the basin structure. Because of this inherent charateristic, seismic forward modeling and inversion of the basin structure become a challenge in seismology and exploration seismology. Therefore, it is of important theoretical and practical value to solve such difficult problems. The applicant have carried on a long-term research on wave propagation in such piecewise heterogeneous media, which can be described by the generalized Lippmann-Schwinger integral equation. In this study, the seismic modeling schemes will be improved further for wave propagation in piecewise heterogeneous media.A complete solution system will be derived, including the full-waveform solutions and a series of approximate solutions. On the other hand, the "knot" of seismic imaging of complex structure is that the velocity distribution always contains the information of the structure.To solve this problem, a new joint inverse scheme of structure configuration and velocity distribution is developed by using the perturbation integral equation and its Born series and Rytov series approximations. It is important to research the interaction mechanism between the perturbation of seismic response frequency and the modification of the structure configuration and the velocity distribution. This study will provide a new insight into imaging of complex structures.