Energy Transportation In One- and Two-Dimensional Scattering Media: Analytic Solutions of the Multiple Isotropic Scattering Model
Energy Transportation In One- and Two-Dimensional Scattering Media: Analytic Solutions of the Multiple Isotropic Scattering Model
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一维和二维散射介质中的能量传输：多重各向同性散射模型的解析解
DOI：
10.1111/j.1365-246x.1993.tb01443.x
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发表时间：
1993
期刊：
影响因子：
--
通讯作者：
H. Sato
中科院分区：
文献类型：
--
作者：
H. Sato
总结
高频地震波的包络可以用地球介质中不均匀性散射波的非相干和来描述。假设一维和二维无限散射介质中随机分布的点状散射体的多次各向同性散射，基于能量输运理论，导出了脉冲各向同性辐射能量密度时空分布的解析解。在二维空间中得到的解析解与Shang & Gao（1988）的结果一致。在这里，我们展示了另一种推导的解析解，通过使用拉普拉斯变换在时间和傅立叶变换在空间。
Summary
Envelopes of high-frequency seismic waves are well described by the incoherent sum of scattered waves by heterogeneities in the earth medium. Supposing multiple isotropic scattering by point-like scatterers randomly distributed in one- and two-dimensional infinite scattering media, we derive analytic solutions for the space-time distribution of the energy density for an impulsive isotropic radiation based on the energy transportation theory. the analytic solution obtained in two-dimensional space coincides with that of Shang & Gao (1988). Here we show an alternative derivation of analytic solutions by using the Laplace transformation in time and the Fourier transformation in space.