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首页> 外文期刊>Pure and Applied Geophysics >Modeling Full Seismogram Envelopes Using Radiative Transfer Theory with Born Scattering Coefficients
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Modeling Full Seismogram Envelopes Using Radiative Transfer Theory with Born Scattering Coefficients

机译：使用辐射散射系数的辐射传递理论对完整地震图包络建模

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摘要

The equation of radiative transfer is used to model the transport of seismic energy in 2-D and 3-D acoustic random media. Monte-Carlo solutions of this equation using non-isotropic Born scattering coefficients are compared to three analytical solutions: Markov approximation, radiative transfer theory with isotropic scattering coefficients, and diffusion approximation. Additionally, we compare to finite differences solutions of the full wave equation in 2-D. We find a good correspondence of radiative transfer theory to Markov approximation for the case of multiple forward scattering. The comparison to radiative transfer theory with isotropic scattering coefficients, a model frequently used in data analysis, demonstrates that in the case of forward scattering the isotropic scattering model is not better than a diffusion approach. To compare radiative transfer theory with non-isotropic scattering coefficients to finite differences solutions of the full wave equation, the finite source duration and the bandpass filter process as well as the normalization of absolute amplitudes are explicitely taken into account. We find a good coincidence of both theories for scattering parameters, which are realistic for usual Earth crust. The theory correctly describes the unscattered direct wavefront, the envelope broadening caused by multiple forward scattering, as well as the late coda caused by multiple wide angle scattering. For strong scattering, which can be expected for very heterogeneous media such as strato volcanoes, the solutions of radiative transfer differ from the more complete solutions of the full wave equation.
机译：辐射传递方程用于模拟2D和3D声学随机介质中地震能量的传输。将使用非各向同性Born散射系数的该方程的Monte-Carlo解与三种解析解进行比较：马尔可夫近似，具有各向同性散射系数的辐射传递理论和扩散近似。此外，我们比较了二维全波方程的有限差分解。对于多重正向散射的情况，我们发现辐射转移理论与马尔可夫近似具有良好的对应关系。将与各向同性散射系数的辐射传输理论进行比较，该模型是数据分析中经常使用的模型，表明在正向散射的情况下，各向同性散射模型并不比扩散方法更好。为了将具有非各向同性散射系数的辐射传递理论与全波方程的有限差分解进行比较，明确考虑了有限源持续时间和带通滤波过程以及绝对振幅的归一化。我们发现这两种理论的散射参数很好地吻合，这对于通常的地壳是现实的。该理论正确地描述了未散射的直接波前，由多次前向散射引起的包络展宽以及由多次广角散射引起的晚期尾波。对于强烈的散射（这对于非常均匀的介质（例如，平流层火山）而言是可以预期的），辐射传递的解不同于全波方程的更完整的解。

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