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A fully scalable homogenization method to upscale 3-D elastic media

Title: A fully scalable homogenization method to upscale 3-D elastic media
Authors: Cao, Jian; Brossier, Romain; Capdeville, Yann; Métivier, Ludovic; Sambolian, Serge
Contributors: Institut des Sciences de la Terre (ISTerre); Institut de Recherche pour le Développement (IRD)-Institut national des sciences de l'Univers (INSU - CNRS)-Université Savoie Mont Blanc (USMB Université de Savoie Université de Chambéry )-Centre National de la Recherche Scientifique (CNRS)-Université Gustave Eiffel-Observatoire des Sciences de l'Univers de Grenoble (Fédération OSUG)-Université Grenoble Alpes (UGA); Laboratoire de Planétologie et Géosciences UMR_C 6112 (LPG); Le Mans Université (UM)-Université d'Angers (UA)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)-Nantes université - UFR des Sciences et des Techniques (Nantes univ - UFR ST); Nantes Université - pôle Sciences et technologie; Nantes Université (Nantes Univ)-Nantes Université (Nantes Univ)-Nantes Université - pôle Sciences et technologie; Nantes Université (Nantes Univ)-Nantes Université (Nantes Univ); Equations aux Dérivées Partielles (EDP); Laboratoire Jean Kuntzmann (LJK); Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP); Université Grenoble Alpes (UGA)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS)-Université Grenoble Alpes (UGA)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP); Université Grenoble Alpes (UGA); SEISCOPE consortium (https://seiscope2.osug.fr/); ANR-16-CE31-0022,HIWAI,Inversion homogénéisée de formes d'ondes sismiques(2016)
Source: ISSN: 0956-540X.
Publisher Information: CCSD; Oxford University Press (OUP)
Publication Year: 2024
Collection: Université Savoie Mont Blanc: HAL
Subject Terms: Finite element method; Numerical modelling; Numerical solutions; Computational seismology; Seismic anisotropy; Wave propagation; [SDU.STU.GP]Sciences of the Universe [physics]/Earth Sciences/Geophysics [physics.geo-ph]; [PHYS.PHYS.PHYS-DATA-AN]Physics [physics]/Physics [physics]/Data Analysis; Statistics and Probability [physics.data-an]
Description: International audience ; Modelling seismic wavefields in complex 3-D elastic media is the key in many fields of Earth Science: seismology, seismic imaging, seismic hazard assessment and earthquake source mechanism reconstruction. This modelling operation can incur significant computational cost, and its accuracy depends on the ability to take into account the scales of the subsurface heterogeneities varying. The theory of homogenization describes how the small-scale heterogeneities interact with the seismic waves and allows to upscale elastic media consistently with the wave equation. In this study, an efficient and scalable numerical homogenization tool is developed, relying on the similarity between the equations describing the propagation of elastic waves and the homogenization process. By exploiting the optimized implementation of an elastic modelling kernel based on a spectral-element discretization and domain decomposition, a fully scalable homogenization process, working directly on the spectral-element mesh, is presented. Numerical experiments on the entire SEAM II foothill model and a 3-D version of the Marmousi II model illustrate the efficiency and flexibility of this approach. A reduction of two orders of magnitude in terms of absolute computational cost is observed on the elastic wave modelling of the entire SEAM II model at a controlled accuracy.
Document Type: article in journal/newspaper
Language: English
DOI: 10.1093/gji/ggae132
Availability: https://hal.science/hal-04671197; https://hal.science/hal-04671197v1/document; https://hal.science/hal-04671197v1/file/Cao_2024_GJI.pdf; https://doi.org/10.1093/gji/ggae132
Rights: info:eu-repo/semantics/OpenAccess
Accession Number: edsbas.34A8C620
Database: BASE