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Waveform Inversion ...
Waveform Inversion with a Data Driven Estimate of the Internal Wave
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- Borcea, Liliana (författare)
- Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA.
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- Garnier, Josselin (författare)
- Inst Polytech Paris, Ecole Polytech, CMAP, CNRS, F-91128 Palaiseau, France.
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- V. Mamonov, Alexander (författare)
- Univ Houston, Dept Math, 3551 Cullen Blvd, Houston, TX 77204 USA.
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- Zimmerling, Jörn (författare)
- Uppsala universitet,Avdelningen för beräkningsvetenskap
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Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA Inst Polytech Paris, Ecole Polytech, CMAP, CNRS, F-91128 Palaiseau, France. (creator_code:org_t)
- Society for Industrial and Applied Mathematics, 2023
- 2023
- Engelska.
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Ingår i: SIAM Journal on Imaging Sciences. - : Society for Industrial and Applied Mathematics. - 1936-4954. ; 16:1, s. 280-312
- Relaterad länk:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- We study an inverse problem for the wave equation, concerned with estimating the wave speed from data gathered by an array of sources and receivers that emit probing signals and measure the resulting waves. The typical approach to solving this problem is a nonlinear least squares minimization of the data misfit, over a search space. There are two main impediments to this approach, which manifest as multiple local minima of the objective function: The nonlinearity of the mapping from the wave speed to the data, which accounts for multiple scattering effects, and poor knowledge of the kinematics (smooth part of the wave speed), which causes cycle skipping. We show that the nonlinearity can be mitigated using a data driven estimate of the wave field at points inside the medium, also known as the "internal wave field." This leads to improved performance of the inversion for a reasonable initial guess of the kinematics.
Ämnesord
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Annan elektroteknik och elektronik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Other Electrical Engineering, Electronic Engineering, Information Engineering (hsv//eng)
Nyckelord
- words
- inverse wave scattering
- data driven
- reduced order modeling
- Lippmann-Schwinger integral equation
- internal wave
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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