Firstly , the paper starts from the one - way wave equation of wavefield extrapolation , research the relationship and transform condition of wavefield extrapolation operators , and improves on the wavefield extrapolation operator and so heightens the operation efficiency , and chooses the pspi that fits to the lateral variation of velocity to resolve the wave - equation , which lay a foundation of the theoretic study 首先，从波场延拓的单程波方程出发，研究了频率?波数域的波场延拓算子之间的相互关系和转换条件，并在此基础上改进了波场延拓方案和提高了运算效率，选择了适合于纵横向速度剧烈变化的pspi方法求解波动方程，为整个研究打下了理论基础。
Further , analyse the characteristic of the seismic wavefield of fractural reservoir and the influence caused by fracture density , property of the filled material and the strike of fracture . fifthly , in term of research of zhangshulun et al . , concisely discuss the arithmetic of the plane wave forward modeling and migration with phase shift method , in prestack common offset gathers and check the arithmetic by numerical simulation 第四，用基于弹性?声学近似的反射系数计算公式和本文提出的付氏变换子波生成法得到缝洞模型的反射系数模型和子波模型并用vrselrf波场延拓算子对其进行地震波场数值模拟；进一步分析了缝洞储层的地震波场特征及缝洞密度、充填物性质和裂缝走向对其波场特征的影响。
