Year: 2013
Communications in Computational Physics, Vol. 13 (2013), Iss. 4 : pp. 985–1012
Abstract
Numerical methods are developed to simulate the wave propagation in heterogeneous 2D fluid/poroelastic media. Wave propagation is described by the usual acoustics equations (in the fluid medium) and by the low-frequency Biot's equations (in the porous medium). Interface conditions are introduced to model various hydraulic contacts between the two media: open pores, sealed pores, and imperfect pores. Well-posedness of the initial-boundary value problem is proven. Cartesian grid numerical methods previously developed in porous heterogeneous media are adapted to the present context: a fourth-order ADER scheme with Strang splitting for time-marching; a space-time mesh-refinement to capture the slow compressional wave predicted by Biot's theory; and an immersed interface method to discretize the interface conditions and to introduce a subcell resolution. Numerical experiments and comparisons with exact solutions are proposed for the three types of interface conditions, demonstrating the accuracy of the approach.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.140911.050412a
Communications in Computational Physics, Vol. 13 (2013), Iss. 4 : pp. 985–1012
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 28
-
Wave simulation in 2D heterogeneous transversely isotropic porous media with fractional attenuation: A Cartesian grid approach
Blanc, Emilie | Chiavassa, Guillaume | Lombard, BrunoJournal of Computational Physics, Vol. 275 (2014), Iss. P.118
https://doi.org/10.1016/j.jcp.2014.07.002 [Citations: 14] -
Perfectly matched absorbing layer for modelling transient wave propagation in heterogeneous poroelastic media
He, Yanbin | Chen, Tianning | Gao, JinghuaiJournal of Geophysics and Engineering, Vol. (2019), Iss.
https://doi.org/10.1093/jge/gxz080 [Citations: 1] -
Numerical modeling of wave propagation phenomena in thermo-poroelastic media via discontinuous Galerkin methods
Bonetti, Stefano | Botti, Michele | Mazzieri, Ilario | Antonietti, Paola F.Journal of Computational Physics, Vol. 489 (2023), Iss. P.112275
https://doi.org/10.1016/j.jcp.2023.112275 [Citations: 3] -
Numerical and Evolutionary Optimization – NEO 2017
Biot’s Parameters Estimation in Ultrasound Propagation Through Cancellous Bone
Moreles, Miguel Angel | Peña, Joaquin | Neria, Jose Angel2019
https://doi.org/10.1007/978-3-319-96104-0_11 [Citations: 0] -
Three-Dimensional Mapped-Grid Finite Volume Modeling of Poroelastic-Fluid Wave Propagation
Lemoine, Grady I.
SIAM Journal on Scientific Computing, Vol. 38 (2016), Iss. 5 P.B808
https://doi.org/10.1137/130934866 [Citations: 10] -
Taking into Account Fluid Saturation of Bottom Sediments in Marine Seismic Survey
Golubev, V. I. | Shevchenko, A. V. | Petrov, I. B.Doklady Mathematics, Vol. 100 (2019), Iss. 2 P.488
https://doi.org/10.1134/S1064562419050107 [Citations: 10] -
Problem of Acoustic Diagnostics of a Damaged Zone
Petrov, I. B. | Golubev, V. I. | Shevchenko, A. V.Doklady Mathematics, Vol. 101 (2020), Iss. 3 P.250
https://doi.org/10.1134/S1064562420020180 [Citations: 5] -
The IBIEM solution to the scattering of P1 waves by an arbitrary shaped cavity embedded in a fluid-saturated double-porosity half-space
Liu, Zhong-xian | Sun, Jun | Cheng, Alexander H D | Liang, JianwenGeophysical Journal International, Vol. 231 (2022), Iss. 3 P.1938
https://doi.org/10.1093/gji/ggac298 [Citations: 0] -
Seismic wave propagation in coupled fluid and porous media: A finite element approach
Bucher, Federico | Zyserman, Fabio I. | Monachesi, Leonardo B.Geophysical Prospecting, Vol. 72 (2024), Iss. 8 P.2919
https://doi.org/10.1111/1365-2478.13562 [Citations: 0] -
A High-Order Discontinuous Galerkin Method for the Poro-elasto-acoustic Problem on Polygonal and Polyhedral Grids
Antonietti, Paola F. | Botti, Michele | Mazzieri, Ilario | Poltri, Simone NatiSIAM Journal on Scientific Computing, Vol. 44 (2022), Iss. 1 P.B1
https://doi.org/10.1137/21M1410919 [Citations: 11] -
Seismic wave propagation in nonlinear viscoelastic media using the auxiliary differential equation method
Martin, Roland | Bodet, Ludovic | Tournat, Vincent | Rejiba, FayçalGeophysical Journal International, Vol. 216 (2019), Iss. 1 P.453
https://doi.org/10.1093/gji/ggy441 [Citations: 8] -
Evanescent waves in hybrid poroelastic metamaterials with interface effects
Zhang, Shu-Yan | Luo, Jia-Chen | Wang, Yan-Feng | Laude, Vincent | Wang, Yue-ShengInternational Journal of Mechanical Sciences, Vol. 247 (2023), Iss. P.108154
https://doi.org/10.1016/j.ijmecsci.2023.108154 [Citations: 4] -
Mixed virtual element methods for the poro-elastodynamics model on polygonal grids
Chen, Yanli | Liu, Xin | Zhang, Wenhui | Nie, YufengComputers & Mathematics with Applications, Vol. 174 (2024), Iss. P.431
https://doi.org/10.1016/j.camwa.2024.09.025 [Citations: 0] -
Semi-analytical and numerical methods for computing transient waves in 2D acoustic/poroelastic stratified media
Lefeuve-Mesgouez, G. | Mesgouez, A. | Chiavassa, G. | Lombard, B.Wave Motion, Vol. 49 (2012), Iss. 7 P.667
https://doi.org/10.1016/j.wavemoti.2012.04.006 [Citations: 19] -
On Mathematical and Numerical Modelling of Multiphysics Wave Propagation with Polytopal Discontinuous Galerkin Methods: a Review
Antonietti, Paola F. | Botti, Michele | Mazzieri, IlarioVietnam Journal of Mathematics, Vol. 50 (2022), Iss. 4 P.997
https://doi.org/10.1007/s10013-022-00566-3 [Citations: 3] -
Numerical modeling of mechanical wave propagation
Seriani, G. | Oliveira, S. P.La Rivista del Nuovo Cimento, Vol. 43 (2020), Iss. 9 P.459
https://doi.org/10.1007/s40766-020-00009-0 [Citations: 10] -
A discrete representation of material heterogeneity for the finite-difference modelling of seismic wave propagation in a poroelastic medium
Moczo, Peter | Gregor, David | Kristek, Jozef | de la Puente, JosepGeophysical Journal International, Vol. 216 (2019), Iss. 2 P.1072
https://doi.org/10.1093/gji/ggy412 [Citations: 32] -
Unsplit perfectly matched layer absorbing boundary conditions for second-order poroelastic wave equations
He, Yanbin | Chen, Tianning | Gao, JinghuaiWave Motion, Vol. 89 (2019), Iss. P.116
https://doi.org/10.1016/j.wavemoti.2019.01.004 [Citations: 14] -
Stability analysis-based reformulation of wave equations for poro-elastic media saturated with two fluids
Xiong, Fansheng | Liu, Jiawei | Guo, Zhenwei | Liu, JianxinGeophysical Journal International, Vol. 226 (2021), Iss. 1 P.327
https://doi.org/10.1093/gji/ggab117 [Citations: 2] -
The effects of fracture permeability on acoustic wave propagation in the porous media: A microscopic perspective
Wang, Ding | Wang, Liji | Ding, PinboUltrasonics, Vol. 70 (2016), Iss. P.266
https://doi.org/10.1016/j.ultras.2016.05.013 [Citations: 10]