各向异性介质中褶积微分算子法三分量地震资料的数字仿真

Digital emulation of tricomponent seismic data in anisotropic media through convolution differential operator

中国科学院地球物理研究所, 北京100101

Geophysical Institute, Chinese Acadamy of Science, Beijing 100101

本文通过利用逆傅氏变换技术, 得出了一种设计常现微分算子的简易方法, 对其截断效应引入汉宁窗加以压制;并将这种褶积微分算子用于各向异性介质中三分量弹性地震波场的数字模拟。这种锯齿状的微分其子具有高阶有限差分算子的相同形式, 但较之常规有限差分算子和诸如傅氏变换法、Hartley变换法的伪谱法具有更多的优越性。微分算子节点数仅为5时仍可得到较好的结果．算法精度高于四阶有限差分法, 对计算机内存需求低于傅氏变换法。理论模型计算结果表明, 该算法无论是对声波还是弹性波波场模拟均为一种快速、高精度的数字仿真技术。

A simplificd method is dcrivcd to design conventional diffrcntial operator utilizing inverseFourier transform, with its truncalion effect bcing opprcsscd through Hanning window. And thisconvolution diffetential operator is applied to digital simulation of tricomponent clastic seismicwave ficld in anisotropic media. This saw-tooth diffcrential opcrator has the same form as higherfinite diffcrcnce operators, however, it has many advantages over convcntional finite differentialoperator, pscude-spectruIn for Hartley transform, Fourier transform, etc. Better results Can beobtained when the node number of the suggested opcrators is under 5 inclusivc, with its computingaccuracy higher than four-order finite differential method and with its computer memory capaeityrequiremcnt lowcr than Fouticr transform' The computed rcsults of the theorceical model showthat this algorithm is fast and precisc in digital emulation.