Spectral-element simulations of wave propagation in porous media: Finite-frequency sensitivity kernels based upon adjoint methods

C. Morency, Y. Luo, Jeroen Tromp

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We present a numerical implementation of the Biot equations for two-dimensional problems based upon the spectral-element method (SEM) in the time domain. The SEM is a high-order variational method, which has the advantage of accommodating complex geometries like a finite-element method, while keeping the exponential convergence rate of (pseudo)spectral methods. As in the elastic and acoustic cases, poroelastic wave propagation based upon the SEM involves a diagonal mass matrix, which leads to explicit time integration schemes that are well-suited to simulations on parallel computers. We also derive finite-frequency sensitivity kernels for wave propagation in porous media based upon adjoint methods. We first show that the adjoint equations in porous media are similar to the regular Biot equations upon defining an appropriate adjoint source. Then we present an example of finite-frequency kernels for seismic phases in porous media.

Original languageEnglish (US)
Title of host publicationPoromechanics IV - 4th Biot Conference on Poromechanics
PublisherDEStech Publications
Pages649-654
Number of pages6
ISBN (Electronic)9781605950068
StatePublished - Jan 1 2009
Event4th Biot Conference on Poromechanics - New York, United States
Duration: Jun 8 2009Jun 10 2009

Other

Other4th Biot Conference on Poromechanics
CountryUnited States
CityNew York
Period6/8/096/10/09

All Science Journal Classification (ASJC) codes

  • Acoustics and Ultrasonics
  • Condensed Matter Physics
  • Mechanics of Materials

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