Full-waveform inversion (FWI) is an algorithm (and a part of the measuring procedure in a wide sense) with the aim to find the governing law of a physical system using the partially measured physical fields with limited computational resources. A law is a forward theory equipped with the model parameters and the data parameters. The main characteristic of the law is the realizability assumption: the law explains all subsets of the measured data parameters and predicts all subsets of the unmeasured (in the given experiment) data parameters. To find the law, we have to guess a law (a forward theory and parametrization), measure some data parameters and check the realizability assumption.

To put it more precisely, I formulate a new probabilistic setting for inverse problems and full-waveform inversion. Instead of using the Bayes' theorem, the Tarantola-Valette conjunction or the principle of maximum entropy based on the prior information for the averaged quantities, I propose a principle of minimum relative information using the prior information for the non-averaged quantities. The Tarantola-Valette formula is obtained as a special ... mehr

To put it more precisely, I formulate a new probabilistic setting for inverse problems and full-waveform inversion. Instead of using the Bayes' theorem, the Tarantola-Valette conjunction or the principle of maximum entropy based on the prior information for the averaged quantities, I propose a principle of minimum relative information using the prior information for the non-averaged quantities. The Tarantola-Valette formula is obtained as a special ... mehr

Zugehörige Institution(en) am KIT |
Geophysikalisches Institut (GPI) |

Publikationstyp |
Hochschulschrift |

Jahr |
2019 |

Sprache |
Englisch |

Identifikator |
urn:nbn:de:swb:90-914330 KITopen-ID: 1000091433 |

Verlag |
KIT, Karlsruhe |

Umfang |
VI, 73 S. |

Abschlussart |
Dissertation |

Fakultät |
Fakultät für Physik (PHYSIK) |

Institut |
Geophysikalisches Institut (GPI) |

Prüfungsdatum |
08.02.2019 |

Referent/Betreuer |
Prof. T. Bohlen |

Schlagworte |
Full-waveform inversion, probabilistic waveform inversion, probabilistic inverse problems, uncertainty and sensitivity analysis |

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