带阻尼的一维地震反射波成像

1-D IMAGING BY REFLECTION OF SEISMIC WAVE

本文是文献［８］的继续，文中提出了地震勘探的带阻尼波动方程反演的新方法，应用此反演算法可以通过微机识别地层的波阻抗，这里把地层分成１００层，地震数据含有１０％的误差，且反演计算时间仅仅是正演计算时间的三倍．文献［１］－［４］的计算方法是基于波动方程的混合问题，而文献［８］所提出的反演算法是基于波动方程的哥西问题，许多例子充分说明后者更有效．

This is the sepuel of the authors'paper[8],and present a new methodfor the inyersion of the damped wave equation in seismic exploration.Applying the inver sion algorithm we can identify the wave impedances of mediums with a microcomputerwhile stratum is divide by 100 layers and its seismographic data contains 10% noise, andits computation time of this algorithm is about threefold of that for solation to the positiveproblem.Algorithms Siren in[1]-[4] are based on the mixed problem of wave equation,and we have given another inversion algorithm in [6] ,based on the Cauchy problem.Manyexamples show that the efficiency of the latter is much better than the former given in[1]-[4].