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我们导出了层状弹性半空间中直接计算微分地震图的方法。该方法首先计算层内速度改交产生的微分场,然后与原生弹性波场相乘。这个积像一震源项,由这个震源项所产生的地震图为微分地震图。用广义反射和传递系数法,把微分波直接传播到频率/波数域的接收器。与典型的有限差分相比,在N层地球模型下,计算一个台的全套微分地震图时,我们的方法不仅大约节省N/2倍的计算机时,而且导出了更精确的解。因而,该方法提供了一个高效的直接的方法,以计算层状弹性地球模型全波形的微分地震图。
We derive a direct method of calculating differential seismograms in layered elastic half-space. The method first calculates the differential field generated by the velocity inversion in the layer and then multiplies it with the primary elastic wave field. This plot of a source item, the seismogram produced by this source item is a differential seismogram. Using the generalized reflection and transfer coefficient method, the differential wave is directly transmitted to the receiver in the frequency / wave number domain. Comparing with the typical finite difference method, when calculating the complete set of differential seismograms of a station under the N-layer earth model, our method not only saves approximately N / 2 times the computer but also leads to a more accurate solution. Therefore, this method provides an efficient and direct method to calculate the full-waveform differential seismic image of the layered elastic earth model.