Numerical study of quantitative inverse wave problems in visco-acoustic and visco-elastic media

التفاصيل البيبلوغرافية
العنوان: Numerical study of quantitative inverse wave problems in visco-acoustic and visco-elastic media
المؤلفون: Faucher, Florian
المساهمون: Modélisation et simulation de la propagation des ondes fondées sur des mesures expérimentales pour caractériser des milieux géophysiques et héliophysiques et concevoir des objets complexes (MAKUTU), Laboratoire de Mathématiques et de leurs Applications Pau (LMAP), Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS)-Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Institut Polytechnique de Bordeaux (Bordeaux INP)
المصدر: Workshop RNTW04 - Synergistic workshop on Rich and Nonlinear tomography ; https://hal.science/hal-04355871Test ; Workshop RNTW04 - Synergistic workshop on Rich and Nonlinear tomography, Jun 2023, Cambridge, United Kingdom ; https://www.newton.ac.uk/event/rntw04Test/
بيانات النشر: HAL CCSD
سنة النشر: 2023
المجموعة: Université de Rennes 1: Publications scientifiques (HAL)
مصطلحات موضوعية: Inverse Problem, Seismic imaging, Numerical methods, Wave propagation, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]
جغرافية الموضوع: Cambridge, United Kingdom
الوصف: International audience ; We consider the propagation of waves in media with attenuation. Attenuation is a frequency-dependent phenomenon and several constitutive laws exist to consider it, each leading to different models of wave equations. In the inverse problem for the reconstruction of the physical properties from the measurements of waves, considering a medium with attenuation leads to additional unknown coefficients to recover (those that represent the attenuation), while the precise attenuation law characterizing the medium is also unknown a priori. In this work, we consider the inverse wave problem for visco-acoustic and visco-elastic media. We use time-harmonic formulations which allow us to unify the models of attenuation using complex-valued parameters and illustrate the wave propagation depending on the attenuation model. We carry out quantitative reconstruction with attenuation model uncertainty using an iterative minimization procedure. Furthermore, we also consider the case of reflecting boundaries surrounding the sample, which lead to multiple reflections within the domain and complicate the reconstruction.
نوع الوثيقة: conference object
اللغة: English
العلاقة: hal-04355871; https://hal.science/hal-04355871Test; https://hal.science/hal-04355871/documentTest; https://hal.science/hal-04355871/file/abstract_INI.pdfTest
الإتاحة: https://hal.science/hal-04355871Test
https://hal.science/hal-04355871/documentTest
https://hal.science/hal-04355871/file/abstract_INI.pdfTest
حقوق: info:eu-repo/semantics/OpenAccess
رقم الانضمام: edsbas.3A5B46A7
قاعدة البيانات: BASE