Theoretical background of retrieving Green's function by cross-correlation: one-dimensional case
Theoretical background of retrieving Green's function by cross-correlation: one-dimensional case
复制标题
通过互相关反演格林函数的理论背景：一维情况
DOI：
10.1111/j.1365-246x.2006.02916.x
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发表时间：
2006
影响因子：
2.8
通讯作者：
H. Nakahara
中科院分区：
文献类型：
--
作者：
H. Nakahara
最近，一种断言已经在实验上和理论上得到验证，即两个接收器之间的绿色函数可以通过对接收器处的记录进行互相关来再现。在本文中，我们通过使用Thomson‐Haskell矩阵方法从理论上证明了具有自由表面的一维介质的断言。严格地说，在两个接收器处的记录之间的互相关的一侧是绿色函数与源子波的自相关函数之间的卷积。本研究将Claerbout所考虑的几何条件推广到两个垂直分开的接收器，是Wapenaar等人证明的特殊情况。然而，一维问题中的简单几何使我们能够在没有任何近似的情况下进行证明，并更容易地更好地理解物理背景。这是本研究的主要优势。虽然1-D几何似乎远离现实，它可能是足够的，如果接收器和地震的适当组合被选择。事实上，在浅层地下垂直地震仪阵列的地震观测中，经常可以看到这种几何形状。因此，我们提到了一种可能性，本文的证明适用于估计场地放大因子，通过使用记录的垂直地震台阵。
SUMMARY Recently, an assertion has been verified experimentally and theoretically that Green’s function between two receivers can be reproduced by cross-correlating the records at the receivers. In this paper, we have theoretically proved the assertion for 1-D media with the free surface by using the Thomson‐Haskell matrix method. Strictly speaking, one side of the cross-correlation between records at two receivers is the convolution between Green’s function and the autocorrelation function of the source wavelet. This study extends the geometry considered by Claerbout to two receivers vertically apart, and is a special case of the proof by Wapenaar et al. which dealt with 3-D arbitrary inhomogeneous media. However, a simple geometry in 1-D problems enables us to make the proof without any approximations and to better understand the physical background with more ease. That is the main advantage of this study. Though a 1-D geometry seems far from reality, it may be sufficient if an appropriate combination of receivers and earthquakes is selected. In fact, such a geometry is often seen in seismological observations by a vertical array of seismographs in the shallow subsurface. Therefore, we refer to a possibility that the proof in this paper is applied to the estimation of site amplification factors by using records of a vertical seismographic array.
H.264编码器DCT的硬件实现及其评估
DOI：
--
发表时间：
2009
期刊：
影响因子：
--
作者：
Choong Geun Lee;V. G. Moshnyaga and K. Hashimoto;宮田康治
通讯作者：
宮田康治