正交介质弹性本构关系及角散的研究

Study on elastic constructive relationship and angle dispersion of orthogonal medium.

本文首先讨论了双层EDA裂隙介质的各向异性弹性本构关系,并导出了基于Postma方法的正交EDA介质的等效弹性常数求解公式和角散公式;然后简要介绍了正演伪谱法算法;最后分别利用角散公式和伪谱法对正交介质的波速与走时进行了数值模拟计算,获得了一致的结果,即正交介质的S波分裂现象比其他介质类型明显。

The paper first discussed the anisotropic elastic constructive relationship of double-layered EDA fractured medium and deduced the solved formula with equivalent elastic constants and angle dispersion formula in orthogonal EDA medium on the basis of Postma method; then,briefly introduced forward and inversive pseudo-spectrum algorithm ; finally, conducted numeric modeling calculation for wave velocity and travel-time by using angle dispersion formula and pseudo-spectrum method separately and gained consistent results,that is,the Swave splitting phenomenon in orthogonal medium is more obvious than in other medium.