A comparison between Laplace domain and frequency domain methods for inverting seismic waveforms
A comparison between Laplace domain and frequency domain methods for inverting seismic waveforms
复制标题
DOI：
10.1071/eg09031
复制
发表时间：
2010-09
影响因子：
0.9
通讯作者：
W. Ha;Y. Cha;C. Shin
中科院分区：
文献类型：
--
作者：
W. Ha;Y. Cha;C. Shin
我们比较了使用频率域和拉普拉斯域从不包含低频信息的数据中恢复背景速度模型的全波形反演的能力。当使用频域波形反演时，低频信息对于恢复背景速度至关重要。然而，由于现场数据中低频信息的缺乏，如果没有精确的启动速度模型，就无法进行频域反演。相反，通过在拉普拉斯域中进行波形反演，可以恢复平滑的速度模型，该模型可以用于迁移或随后的频域反演，作为精确的初始速度模型。拉普拉斯变换波场可以被认为是阻尼波场在一定阻尼常数范围内的零频率分量。在本文中，我们比较了频率域和拉普拉斯域反演的结果，证实了拉普拉斯域反演可以在没有低频信息的情况下从实际数据中恢复背景速度。我们还证明了拉普拉斯域反演可以提供具有光滑初速度模型的频域反演，从而获得更好的反演结果。
We compared the ability of full waveform inversion to recover background velocity models from data containing no low-frequency information using the frequency and Laplace domains. Low-frequency information is crucial for recovering background velocity when using frequency-domain waveform inversions. However, the dearth of low-frequency information in field data makes frequency-domain inversion impractical without accurate starting velocity models. Instead, by performing waveform inversion in the Laplace domain, one can recover a smooth velocity model that can be used for either migration or for subsequent frequency-domain inversion as an accurate initial velocity model. The Laplace-transformed wavefield can be thought of as the zero-frequency component of a damped wavefield over a range of damping constants. In this paper, we compare results obtained from both frequency- and Laplace-domain inversions and confirm that the Laplace-domain inversion can be used to recover background velocity from real data without low-frequency information. We also demonstrate that the Laplace-domain inversion can provide the frequency-domain inversion with smooth initial velocity models for better inversion results.