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    Multilevel Monte Carlo Acceleration of Seismic Wave Propagation under Uncertainty

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    Type
    Presentation
    Authors
    Ballesio, Marco cc
    Beck, Joakim cc
    Pandey, Anamika cc
    Parisi, Laura cc
    von Schwerin, Erik cc
    Tempone, Raul cc
    KAUST Department
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    KAUST SRI Center for Uncertainty Quantification in Computational Science and Engineering
    Physical Science and Engineering (PSE) Division
    Date
    2018-09-06
    Permanent link to this record
    http://hdl.handle.net/10754/630790
    
    Metadata
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    Abstract
    We consider forward seismic wave propagation in an inhomogeneous linear viscoelastic media with random wave speeds and densities, subject to deterministic boundary and initial conditions. We study this forward problem as a first step towards the treatment of inverse problems. There the goal is to determine, for example, earthquake source locations from seismograms recorded in a small number of seismic sensors at the Earth’s surface. Existing results on earthquake source inversion for a given event show a large variability, which indicates that the inherent uncertainty of the Earth parameters should be taken into account. Here this uncertainty is modeled through random parameters. We propose multilevel Monte Carlo simulations for computing statistics of quantities of interest which are motivated by the choice of loss function for the corresponding inverse problem, presenting a case study based on experimental seismic data from a passive experiment in Tanzania. This work provides a benchmark for the implementation of multilevel algorithms to accelerate seismic inversion addressing earthquake source estimation as well as inferring Earth structure.
    Sponsors
    This work is supported by the KAUST Office of Sponsored Research (OSR) under Award No. URF/1/2584-01-01 in the KAUST Competitive Research Grants Program-Round 4 (CRG2015). For computer time, it used the resources of the Supercomputing Laboratory at KAUST, under the development project k1275.
    Conference/Event name
    FrontUQ 18
    Additional Links
    https://frontuq18.org/
    Collections
    Physical Science and Engineering (PSE) Division; Presentations; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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