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Generalized Thermo-poroelasticity Equations and Wave Simulation.
- Source :
-
Surveys in Geophysics . Jan2021, Vol. 42 Issue 1, p133-157. 25p. - Publication Year :
- 2021
-
Abstract
- We establish a generalization of the thermoelasticity wave equation to the porous case, including the Lord–Shulman (LS) and Green–Lindsay (GL) theories that involve a set of relaxation times ( τ i , i = 1 , ... , 4 ). The dynamical equations predict four propagation modes, namely, a fast P wave, a Biot slow wave, a thermal wave, and a shear wave. The plane-wave analysis shows that the GL theory predicts a higher attenuation of the fast P wave, and consequently a higher velocity dispersion than the LS theory if τ 1 = τ 2 > τ 3 , whereas both models predict the same anelasticity for τ 1 = τ 2 = τ 3 . We also propose a generalization of the LS theory by applying two different Maxwell–Vernotte–Cattaneo relaxation times related to the temperature increment ( τ 3 ) and solid/fluid strain components ( τ 4 ), respectively. The generalization predicts positive quality factors when τ 4 ≥ τ 3 , and increasing τ 4 further enhances the attenuation. The wavefields are computed with a direct meshing algorithm using the Fourier pseudospectral method to calculate the spatial derivatives and a first-order explicit Crank–Nicolson time-stepping method. The propagation illustrated with snapshots and waveforms at low and high frequencies is in agreement with the dispersion analysis. The study can be useful for a comprehensive understanding of wave propagation in high-temperature high-pressure fields. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01693298
- Volume :
- 42
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Surveys in Geophysics
- Publication Type :
- Academic Journal
- Accession number :
- 148116654
- Full Text :
- https://doi.org/10.1007/s10712-020-09619-z