Full wavefield inversion of ambient seismic noise
Full wavefield inversion of ambient seismic noise
复制标题
环境地震噪声全波场反演
DOI：
10.1093/gji/ggy328
复制
发表时间：
2018
影响因子：
2.8
通讯作者：
De Ridder S
中科院分区：
文献类型：
--
作者：
De Ridder S
针对大型密集地震仪阵列记录的环境地震噪声，提出了一种全波场反演方法。FWFI利用了阵列数据固有的波场梯度的约束。我们将FWFI假设为一个偏微分方程(PDE)约束的反问题，从而得到重建波场和介质参数的联合估计。反问题采用可变投影法求解。我们明确地考虑了作为约束施加的PDE系统的非唯一解。波场的边界条件不需要指定，并且可以保持未知。这使得该算法适用于密集阵列环境地震噪声的反演观测。其结果是，地下属性反问题对激发地震波场的噪声源的性质和分布不敏感。原则上，该公式对于环境噪声波场和由受控源激发的波场同样适用。该理论在时间域的一维和频域的两维的例子中得到了支持。后者主要用于相速度图的面波环境噪声的反演。
We formulate a full wavefield inversion (FWFI) for ambient seismic noise recorded by large and dense seismograph arrays. FWFI exploits the constraints on the gradients of the wavefield that array data inherently possess. We pose FWFI as a partial differential equation (PDE) constrained inverse problem resulting in a joint estimation of a reconstructed wavefield and the medium parameters. The inverse problem is solved by variable projection. We explicitly allow for non-unique solutions to the PDE system that is imposed as a constraint. The boundary conditions of the wavefield do not need to be specified, and can remain unknown. This makes the algorithm suitable for inverting observations of ambient seismic noise by dense arrays. The result is that the inverse problem for subsurface properties becomes insensitive to the character and distribution of the noise sources that excited the seismic wavefield. In principle the formulation holds equally for ambient noise wavefields and for wavefields excited by controlled sources. The theory is supported with examples in one dimension in the time domain, and in two dimensions in the frequency domain. The latter are of interest in the inversion of surface wave ambient noise for phase velocity maps.
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