摘要

Based on the accurate solutions of Zoeppritz's partial derivative equations, which is the derivative equations of Zoeppritz equations with respect to densities of formation, we have constructed the multi-angle inverse equations for inversion of formation densities, and realized the multi-angle inversion of formation densities with the accurate solution of reflected coefficient's grads of seismic wave. We have also given numerical examples for different stratum models. The results show that whether there is interference between two reflected waves from different reflection interfaces or not, the precisions of inverse results are very good, if only the iterative times of inversion are over 10, the largest relative error of inverse results is less than 1%; with the increasing of inverse angles the precision of multi-angle inverse results is gradually improved; the inversion has emending function itself, and has high running speeds. This method has overcome the difficulty that conventional AVO(Amplitude Versus Offset) approximate methods are confronted with, and is not restricted with the magnitude of incidence angle whether the reflection interface is strong reflection or not. This method offers a new computational method for us to invert for the densities of strata with multi-angles.

  • 出版日期2012-1
  • 单位北京印刷学院

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