Ir al contenido (pulsa Retorno)

Universitat Politècnica de Catalunya

    • Català
    • Castellano
    • English
    • LoginRegisterLog in (no UPC users)
  • mailContact Us
  • world English 
    • Català
    • Castellano
    • English
  • userLogin   
      LoginRegisterLog in (no UPC users)

UPCommons. Global access to UPC knowledge

Banner header
61.586 UPC E-Prints
You are here:
View Item 
  •   DSpace Home
  • E-prints
  • Centres de recerca
  • BSC - Barcelona Supercomputing Center
  • Computer Applications in Science & Engineering
  • Articles de revista
  • View Item
  •   DSpace Home
  • E-prints
  • Centres de recerca
  • BSC - Barcelona Supercomputing Center
  • Computer Applications in Science & Engineering
  • Articles de revista
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Comparison of expansion-based explicit time-integration schemes for acoustic wave propagation

Thumbnail
View/Open
GEO-2019-0462_Spa_etal.pdf (4,588Mb)
 
10.1190/geo2019-0462.1
 
  View Usage Statistics
  LA Referencia / Recolecta stats
Cita com:
hdl:2117/185238

Show full item record
Spa, Carlos
Rojas, Otilio
Puente, Josep de la
Document typeArticle
Defense date2020-04-14
PublisherSociety of Exploration Geophysicists
Rights accessOpen Access
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
ProjectMATHROCKS - Multiscale Inversion of Porous Rock Physics using High-Performance Simulators: Bridging the Gap between Mathematics and Geophysics (EC-H2020-777778)
ChEESE - Centre of Excellence for Exascale in Solid Earth (EC-H2020-823844)
Abstract
We have developed a von Neumann stability and dispersion analysis of two time-integration techniques in the framework of Fourier pseudospectral (PS) discretizations of the second-order wave equation. The first technique is a rapid expansion method (REM) that uses Chebyshev matrix polynomials to approximate the continuous solution operator of the discrete wave equation. The second technique is a Lax-Wendroff method (LWM) that replaces time derivatives in the Taylor expansion of the solution wavefield with their equivalent spatial PS differentiations. In both time-integration schemes, each expansion term J results in an extra application of the spatial differentiation operator; thus, both methods are similar in terms of their implementation and the freedom to arbitrarily increase accuracy by using more expansion terms. Nevertheless, their limiting Courant-Friedrichs-Lewy stability number S and dispersion inaccuracies behave differently as J varies. We establish the S bounds for both methods in cases of practical use, J≤10, and we confirm the results by numerical simulations. For both schemes, we explore the dispersion dependence on modeling parameters J and S on the wavenumber domain, through a new error metric. This norm weights errors by the source spectrum to adequately measure the accuracy differences. Then, we compare the theoretical computational costs of LWM and REM simulations to attain the same accuracy target by using the efficiency metric J/S. In particular, we find optimal (J,S) pairs that ensure a certain accuracy at a minimal computational cost. We also extend our dispersion analysis to heterogeneous media and find the LWM accuracy to be significantly better for representative J values. Moreover, we perform 2D wave simulations on the SEG/EAGE Salt Model, in which larger REM inaccuracies are clearly observed on waveform comparisons in the range J≤3.
CitationSpa, C.; Rojas, O.; Puente, J. D. L. Comparison of expansion-based explicit time-integration schemes for acoustic wave propagation. "GEOPHYSICS", 14 Abril 2020, vol. 85, núm. 3, p. T165-T178. 
URIhttp://hdl.handle.net/2117/185238
DOI10.1190/geo2019-0462.1
ISSN1942-2156
Publisher versionhttps://library.seg.org/doi/10.1190/geo2019-0462.1
Collections
  • Computer Applications in Science & Engineering - Articles de revista [250]
  View Usage Statistics

Show full item record

FilesDescriptionSizeFormatView
GEO-2019-0462_Spa_etal.pdf4,588MbPDFView/Open

Browse

This CollectionBy Issue DateAuthorsOther contributionsTitlesSubjectsThis repositoryCommunities & CollectionsBy Issue DateAuthorsOther contributionsTitlesSubjects

© UPC Obrir en finestra nova . Servei de Biblioteques, Publicacions i Arxius

info.biblioteques@upc.edu

  • About This Repository
  • Contact Us
  • Send Feedback
  • Privacy Settings
  • Inici de la pàgina