弹性波正演模拟的混合算法

Hybrid algorithm for forward modeling of elastic waves

王山山，邓玉琼．弹性波正演模拟的混合算法．石油地球物理勘探，1997，32（6）：804～808在以波动方程为基础的地震正演模拟方法研究中，计算精度和效率是研究者最关注的两个问题。已有的各类正演方法均各有所长，同时又存在各自的缺点。因此，综合利用不同方法形成混合型算法仍是正演方法研究中的一个重要方面。本文在对已有的声波方程混合算法作细致研究的基础上，发展了弹性波有限无法和虚谱法的混合正演模拟算法。该方法结合了有限元法和虚谱法的优点，具有较高的精度和计算效率，适用于弹性波场的正演计算。文中给出了点震源情况下二维弹性波场的理论计算实例。试算结果表明这种算法模拟的结果正确，且精度高、速度快。

The accuracy and efficiency of computation are the two problems to which geo-physicists pay closest attention in studying the seismic forward modeling methodsbased on wave equations. The existing forward modeling methods have their ownmerits and demerits. Thus, synthesizing different methods to form hybrid algo-rithm is an important aspect in studying the forward modeling methods. Having analysed the existing acoustic-wave equation hybrid algorithms, we ad-vance a forward modeling hybrid algorithm that results from the combination of theelastic-wave finite element method and pseudospectrum method. This algorithmhas the advantages of both these methods, results in quite high computation accura-cy and efficiency, and applies to the forward computation of elastic wave field. The theoretical computation example is given of 2-D elastic wave field in the case of point source. The theoretical result says that the algorithm brings us correct out-come, high accuracy and fast speed in forward modeling.