Acoustic Full Waveform Inversion with Hamiltonian Monte Carlo Method

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

Physica A: Statistical Mechanics and its Applications, 2023, vol. 617, issue C

Abstract: 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.

Keywords: Inverse problems; Full Waveform Inversion; Monte Carlo methods; Hamiltonian Monte Carlo (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:617:y:2023:i:c:s0378437123001735

DOI: 10.1016/j.physa.2023.128618

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