稀疏采样下陡角度构造的波动方程深度偏移成像

针对稀疏采样，特别是crossline方向稀疏采样的三维地震数据，提出了一个基于波动方程方法的陡角度构造深度偏移成像方法.文中针对一类混合域（空间和波数）的波动方程偏移方法展开研究.通过建立反假频的单程波算子和通过（形式上）填充空道重建理想采样的地震数据，有效地实现了陡倾角地层的准确成像.这一算法策略解决了波动方程偏移方法在实际应用中的一个关键问题，从而更好地发挥了波动方程偏移方法在复杂构造成像上的优势.二维理论数据（Marmousi模型）和三维实际地震资料成像结果表明本文方法是有效的.这一方法对现行的三维地震数据处理有重要的现实意义.

Steep dipping structure depth imaging using wave equation based migration schemes on 3-D sparse dataset

We propose a wave equation based migration scheme for imaging the steep dipping structures with 3-D sparsely sampling dataset,especially sparsely sampled in the crossline direction.The scheme is developed based on the hybrid domain(wavenumber and space) wave equation based migration methods.The problem for imaging the steep dipping structures can be solved by applying anti-alias oneway propagator together with filling zero traces into the original sparsely sampling data(to generate a dataset with sufficient sampling).The proposed scheme overcomes a main difficulty when applying wave equation based migration methods to the field data.As a result,good imaging can be obtained for the complex structures by using wave equation based migration methods.The proposed scheme is demonstrated by 2-D Marmousi dataset and 3-D field data.The proposed scheme will be much helpful to the current 3-D dataset processing.