论文标题

用汉密尔顿蒙特卡洛法倒置声学全波形反演

Acoustic Full Waveform Inversion with Hamiltonian Monte Carlo Method

论文作者

de Lima, Paulo D. S., Corso, Gilberto, Ferreira, Mauro S., de Araújo, João M.

论文摘要

全波形反演(FWI)是一种高分辨率技术,用于地球物理,用于评估物理参数并在嘈杂且有限的数据方案中构建地下模型。 FWI的不良性质使这一具有挑战性的问题变成了一个具有挑战性的问题,因为多个模型可以与观察值相匹配。以概率的方式,解决FWI问题需要有效的采样技术来推断参数的信息,并估算高维模型空间中的不确定性。我们通过包含不同噪声水平数据的反射设置来研究在声学FWI中应用汉密尔顿蒙特卡洛(HMC)方法的可行性。我们提出了一种基于地震调查的采集几何形状来调整质量矩阵的新策略。我们的方法可以显着提高HMC方法通过负担得起的计算工作重建合理的地震模型的能力。

Full-Waveform Inversion (FWI) is a high-resolution technique used in geophysics to evaluate the physical parameters and construct subsurface models in a noisy and limited data scenario. The ill-posed nature of the FWI turns this a challenging problem since more than one model can match the observations. In a probabilistic way, solving the FWI problem demands efficient sampling techniques to infer information on parameters and to estimate the uncertainties in high-dimensional model spaces. We investigate the feasibility of applying the Hamiltonian Monte Carlo (HMC) method in the acoustic FWI by a reflection setup containing different noise level data. We propose a new strategy for tuning the mass matrix based on the acquisition geometry of the seismic survey. Our methodology significantly improves the ability of the HMC method in reconstructing reasonable seismic models with affordable computational efforts.

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