界面起伏条件下反射／透射算子+单程波方程的地震波模拟方法

本文导出了一种由单程波方程利用反射／透射算子的可分表示方法模拟复杂介质中一次反射地震波的数值算法. 文中利用算子可分表示理论将反射／透射算子分解成适合于双域（空间域和波数域）运算的表达形式，使得本文得到的地震波数值模拟算法可适应于一定程度横向非均匀介质和界面起伏情况，在入射角小于45°时能够准确模拟振幅随入射角(AVA)的关系. 就模拟一次反射地震波而言，与前人研究的双程波动方程伪谱法地震波模拟相比，本文算法具有足够高的模拟精度，且计算效率成倍地提高.

Seismic modeling by reflection/transmission operator and one-way wave equation under the condition of fluctuating reflectors

We derive a scheme of the separable expression of the reflection/transmission operator is represented, which can be used to model primary reflected waves in the one way wave equation seismic modeling. By employing the theory of operator representation, the reflection/transmission operator is decomposed into the form of double domains in the scheme, so it is adaptable to laterally heterogeneous media and fluctuating reflectors, can mimic AVA of reflections when the incident angle is less than 45°. The computational cost of the scheme is greatly reduced comparing with pseudospectral modeling of the two way equation.