التفاصيل البيبلوغرافية
| العنوان: |
Acoustic wave propagation in a porous medium saturated with a Kelvin–Voigt non-Newtonian fluid. |
| المؤلفون: |
Ba, Jing1 (AUTHOR), Fang, Zhijian1 (AUTHOR) fzj2022@hhu.edu.cn, Fu, Li-Yun2 (AUTHOR), Xu, Wenhao1 (AUTHOR), Zhang, Lin1 (AUTHOR) |
| المصدر: |
Geophysical Journal International. Dec2023, Vol. 235 Issue 3, p2056-2077. 22p. |
| مصطلحات موضوعية: |
*ACOUSTIC wave propagation, *NON-Newtonian fluids, *POROUS materials, *THEORY of wave motion, *GEOPHYSICAL prospecting, *OPTICAL dispersion |
| مستخلص: |
Wave propagation in anelastic rocks is a relevant scientific topic in basic research with applications in exploration geophysics. The classical Biot theory laid the foundation for wave propagation in porous media composed of a solid frame and a saturating fluid, whose constitutive relations are linear. However, reservoir rocks may have a high-viscosity fluid, which exhibits a non-Newtonian (nN) behaviour. We develop a poroelasticity theory, where the fluid stress-strain relation is described with a Kelvin–Voigt mechanical model, thus incorporating viscoelasticity. First, we obtain the differential equations from first principles by defining the strain and kinetic energies and the dissipation function. We perform a plane-wave analysis to obtain the wave velocity and attenuation. The validity of the theory is demonstrated with three examples, namely, considering a porous solid saturated with a nN pore fluid, a nN fluid containing solid inclusions and a pure nN fluid. The analysis shows that the fluid may cause a negative velocity dispersion of the fast P (S)-wave velocities, that is velocity decreases with frequency. In acoustics, velocity increases with frequency (anomalous dispersion in optics). Furthermore, the fluid viscoelasticity has not a relevant effect on the wave responses observed in conventional field and laboratory tests. A comparison with previous theories supports the validity of the theory, which is useful to analyse wave propagation in a porous medium saturated with a fluid of high viscosity. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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