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使用单一的散射近似值,就能导出P体波和S体波的散射衰减系数方程.我们是根据对地震波散射的一些能量重归一化方法讨论结果的;强调了计算不同地层模型散射衰减系数的实用方法。该理论包含了P波到S波或S波到P波的转换。假设给出的地层模型是任意非均匀体,只有通过平均波数功率谱才能知道它们的性质。我们用分段常数函数来逼近功率谱,名段都提供依从于频率的净散射衰减系数。在一个波数图上,能够同时画出一段上最小和最大的波数,入射波和散射波的波矢量。波数图给出了与每个谱段相联系的频率变化的几何解释,它包括一个“转换”峰值,该峰值的产生完全是由于该段波数的限制,对于以条带波数形式聚集非均匀体谱的地区,我们在地震波很明显的衰减处是能够观察到这样一个峰值的,我们给出了保证理论结果精度的频率限制和距离限制。
Using a single scattering approximation, we can derive the scattering attenuation coefficient equations for P-body and S-body waves. We discuss the results based on some of the energy regrinding methods for seismic wave scattering; we emphasize that calculating the scattering attenuation coefficients for different formation models Practical methods. The theory includes the P-wave to S-wave or S-wave to P-wave conversion. Assuming that the given formation model is any heterogeneous body, their properties can be known only by the average wavenumber spectrum. We use the piecewise constant function to approximate the power spectrum, both of which provide a net scattering attenuation coefficient that is frequency-dependent. On a wavenumber plot, a wave vector of the smallest and largest wavenumber, incident and scattered waves can be plotted simultaneously. The wavenumber graph gives a geometrical interpretation of the frequency change associated with each of the bands, which includes a “transition” peak which is entirely due to the wavenumber limit of that band, and for the accumulation of inhomogeneities in band wavenumbers In the spectral region, we can observe such a peak at the obvious attenuation of seismic waves, and we give the frequency and distance constraints that guarantee the accuracy of theoretical results.