地震反演:高频近似-地球科学堆栈交换江南电子竞技平台江南体育网页版 最近30个来自www.hoelymoley.com 2023 - 04 - 07 - t11:28:50z //www.hoelymoley.com/feeds/question/13937 https://creativecommons.org/licenses/by-sa/4.0/rdf //www.hoelymoley.com/q/13937 2 地震反演:高频近似 内特 //www.hoelymoley.com/users/8447 2018 - 04 - 19 - t14:31:18z 2018 - 04 - 19 - t15:37:03z 在许多教科书和论文中,短语“高频”近似被用于不同类型的地震反演。这到底是什么意思呢?此外,如果这个近似不被满足,意味着什么?< / p > //www.hoelymoley.com/questions/13937/-/13938#13938 4 地震反演:高频近似 //www.hoelymoley.com/users/2570 2018 - 04 - 19 - t15:37:03z 2018 - 04 - 19 - t15:37:03z 地震波的传播用波动方程来描述:$$\mathrm{\nabla \cdot \sigma = \frac{\partial ^2 u}{\partial t^2} $$其中$\sigma$为应力,$u$为位移。< / p >

Geometric ray theory is an approximation to the full wave equation where the length scale of variation in seismic wavespeed is much larger than the seismic wavelength (i.e. a high frequency approximation). Typical seismic wavelengths are anything from $\mathrm{\text{~}50-5000~m}$ depending on the application so the ray approximation is generally valid, unless you are trying to resolve very high resolution structure. It is used widely because it is computationally much less expensive than solving the full wave equation.

This book has a very detailed explanation of many aspects of seismic inversion if you need more detail.

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