Green’s function estimation by seismic interferometry from limited frequency samples
Green’s function estimation by seismic interferometry from limited frequency samples
复制标题
通过有限频率样本的地震干涉测量格林函数估计
DOI：
10.1016/j.sigpro.2022.108863
复制
发表时间：
2023
影响因子：
4.4
通讯作者：
Snieder, Roel
中科院分区：
文献类型：
--
作者：
Jayne, Justin;Wakin, Michael B.;Snieder, Roel
绿色函数估计是地震干涉测量的重要应用，但是可能需要互相关很长的时间序列，这在资源受限的情况下难以收集、存储和传输。我们推导出一种仅使用来自每个信号的少量随机频率样本来估计绿色函数的压缩方法。我们绑定这个估计和原始互相关之间的最大误差，并显示如何减少这个错误的样本数量的增加。我们演示了应用这种技术的数值一维反射波的情况下，估计表面波绿色的功能，美国西部使用USAray数据。我们表明，压缩方法可以扩展到反褶积，以及，我们说明了这与压力和位移数据记录在火山上。我们还提供了实施该技术的指导方针。
Green’s function estimation is an important application of seismic interferometry but can require cross-correlating very long time series that are difficult to gather, store, and transmit in resource-constrained scenarios. We derive a compressive approach for estimating a Green’s function using only a small number of random frequency samples from each signal. We bound the maximum error between this estimator and the original cross-correlation and show how this error decreases as the number of samples increases. We demonstrate the application of this technique to a numerical one-dimensional reflected wave case and to estimation of surface wave Green’s functions for the western United States using USArray data. We show that the compressive approach can be extended to deconvolution as well, and we illustrate this with pressure and displacement data recorded on a volcano. We also provide guidelines for implementing the technique.