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A data-driven choice of misfit function for FWI using reinforcement learning

2020/02/08 by Bingbing Sun, Tariq Alkhalifah, Sun, Bingbing +1
Computer Science · Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Algorithm #Artificial intelligence #Computer science #FOS: Computer and information sciences #FOS: Physical sciences #Geophysics (physics.geo-ph) #Hydraulic Fracturing and Reservoir Analysis #Inversion (geology) #Machine Learning (cs.LG) #Mathematical optimization #Mathematics #Reinforcement learning #Reservoir Engineering and Simulation Methods #Seismic Imaging and Inversion Techniques #Snapshot (computer storage) #cs.LG #physics.geo-ph

paper · pdf · doi:10.48550/arxiv.2002.03154

published in arXiv (Cornell University) (Cornell University)

arxiv created 2020/02/08 · openalex publication_date 2020/02/08 · arxiv updated 2020/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In the workflow of Full-Waveform Inversion (FWI), we often tune the parameters of the inversion to help us avoid cycle skipping and obtain high resolution models. For example, typically start by using objective functions that avoid cycle skipping, like tomographic and image based or using only low frequency, and then later, we utilize the least squares misfit to admit high resolution information. We also may perform an isotropic (acoustic) inversion to first update the velocity model and then switch to multi-parameter anisotropic (elastic) inversions to fully recover the complex physics. Such hierarchical approaches are common in FWI, and they often depend on our manual intervention based on many factors, and of course, results depend on experience. However, with the large data size often involved in the inversion and the complexity of the process, making optimal choices is difficult even for an experienced practitioner. Thus, as an example, and within the framework of reinforcement learning, we utilize a deep-Q network (DQN) to learn an optimal policy to determine the proper timing to switch between different misfit functions. Specifically, we train the state-action value function (Q) to predict when to use the conventional L2-norm misfit function or the more advanced optimal-transport matching-filter (OTMF) misfit to mitigate the cycle-skipping and obtain high resolution, as well as improve convergence. We use a simple while demonstrative shifted-signal inversion examples to demonstrate the basic principles of the proposed method.

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