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DOI | 10.1029/2019JB018428 |
Bayesian Elastic Full-Waveform Inversion Using Hamiltonian Monte Carlo | |
Gebraad L.; Boehm C.; Fichtner A. | |
发表日期 | 2020 |
ISSN | 21699313 |
卷号 | 125期号:3 |
英文摘要 | We present a proof of concept for Bayesian elastic full-waveform inversion in 2-D. This is based on (1) Hamiltonian Monte Carlo sampling of the posterior distribution, (2) the computation of misfit derivatives using adjoint techniques, and (3) a mass matrix tuning of the Hamiltonian Monte Carlo algorithm that accounts for the different sensitivities of seismic velocities and density. We apply our method to two synthetic end-member scenarios with different dimension D that are particularly relevant in the context of full-waveform inversion: low-dimensional models (D < 100) with potentially large variations in material parameters and high-dimensional models (D > 30,000) describing smaller-scale variations of lower amplitude relative to some background. For both end members, the Hamiltonian Monte Carlo sampling reliably recovers important aspects of the posterior, including means, covariances, skewness, and 1-D and 2-D marginals. Depending on the strength of material variations, the posterior can be significantly non-Gaussian. This suggests to replace local methods for uncertainty quantification based on Gaussian assumptions by proper sampling of the posterior. In addition to P wave and S wave velocity, the sampling provides constraints on density structure that are free from subjective regularization artifacts. ©2020. American Geophysical Union. All Rights Reserved. |
英文关键词 | Bayesian inference; elastic wave propagation; full-waveform inversion; Hamiltonian Monte Carlo; Markov chain Monte Carlo |
语种 | 英语 |
来源期刊 | Journal of Geophysical Research: Solid Earth
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文献类型 | 期刊论文 |
条目标识符 | http://gcip.llas.ac.cn/handle/2XKMVOVA/187914 |
作者单位 | Institute of Geophysics, ETH Zürich, Zürich, Switzerland |
推荐引用方式 GB/T 7714 | Gebraad L.,Boehm C.,Fichtner A.. Bayesian Elastic Full-Waveform Inversion Using Hamiltonian Monte Carlo[J],2020,125(3). |
APA | Gebraad L.,Boehm C.,&Fichtner A..(2020).Bayesian Elastic Full-Waveform Inversion Using Hamiltonian Monte Carlo.Journal of Geophysical Research: Solid Earth,125(3). |
MLA | Gebraad L.,et al."Bayesian Elastic Full-Waveform Inversion Using Hamiltonian Monte Carlo".Journal of Geophysical Research: Solid Earth 125.3(2020). |
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