中文摘要：

目前研究基于起伏地表、复杂构造和速度复杂等条件的地震精确成像方法有重要意义。逆时偏移是一种高精度的偏移成像方法。文中在声波方程中引入波阻抗函数得到一种新的无反射递推算法,并通过坐标变换原理推导出起伏地表条件下的算法,利用爆炸反射面逆时偏移原理和零时间叠后逆时偏移成像条件,实现了复杂条件下的叠后数值模拟及逆时偏移。理论模型和实际资料的计算说明该方法不仅能有效压制层间反射波,并能处理起伏地表条件下的地震成像问题,证明本方法有较强适应性和实用性。

英文摘要：

Presently the research based on the accurate seismic imaging methods for surface relief, complex structure, and complicated velocity distributions is of great significance. Reverse-time migration is considered to be one of highly accurate methods. In this paper, we propose a new non-reflecting recursive algorithm for reverse-time migration by introducing the wave impedance function into the acoustic wave equation and the algorithm for the surface relief case is derived from the coordinate transformation principle. Using the exploding reflector principle and the zero-time imaging condition of poststack reverse- time migration, poststack numerical simulation and reverse-time migration with complex conditions can be realized. The results of synthetic and real data calculations show that the method effectively suppresses unwanted internal reflections and also deals with the seismic imaging problems resulting from surface relief. So, we prove that this method has strong adaptability and practicality.