Journal article
Parameter Estimation of Acoustic Wave Equations Using Hidden Physics Models
IEEE transactions on geoscience and remote sensing, Vol.58(7), pp.4629-4639
07/2020
DOI: 10.1109/TGRS.2020.2964850
Abstract
In this article, we present one numerical approach to infer the model parameters and state variables of acoustic wave equations. The method we consider is based on the recently proposed method-the so-called hidden physics model. With placing Gaussian process (GP) prior on the state variables, the structure and model parameters of acoustic wave equations are encoded into the kernel function of a multioutput GP. The purpose of this article includes: 1) testing the applicability of hidden physics model to infer the velocity, density, and state variables of the acoustic wave equation, which is important for many applications in geophysics; 2) adapting the method to handle for both homogeneous and heterogeneous media that are of practical interest; and 3) exploring efficient sequential sampling methods to improve the sampling efficiency. We suggest that the expected-improvement-based sequential sampling method would be effective for most practical problems related to acoustic wave propagation. Besides, we demonstrate the performance of the proposed scheme via several benchmark problems.
Details
- Title: Subtitle
- Parameter Estimation of Acoustic Wave Equations Using Hidden Physics Models
- Creators
- Yijie Zhang - Xi'an Jiaotong UniversityXueyu Zhu - University of IowaJinghuai Gao - Xi'an Jiaotong University
- Resource Type
- Journal article
- Publication Details
- IEEE transactions on geoscience and remote sensing, Vol.58(7), pp.4629-4639
- Publisher
- IEEE
- DOI
- 10.1109/TGRS.2020.2964850
- ISSN
- 0196-2892
- eISSN
- 1558-0644
- Grant note
- 504054 / Simons Foundation (10.13039/100000893) 41704126 / National Natural Science Foundation of China (10.13039/501100001809) 2017M613105 / China Postdoctoral Science Foundation Funded Project (10.13039/501100002858) 2016ZX05024-001-007; 2017ZX05069 / National Science and Technology Major Project 2018YFC0603501 / National Key Research and Development Program of the Ministry of Science and Technology of China
- Language
- English
- Date published
- 07/2020
- Academic Unit
- Mathematics
- Record Identifier
- 9984241044502771
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