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Double-porosity poroelastic models, which account for the effect of mesoscopic flow in heterogeneous rocks on wave dispersion and attenuation, are useful for quantitative seismic interpretation. Wavefield simulation based on double-porosity models not only helps visualize the propagation characteristics of the elastic waves but also lays the foundation for seismic imaging. In this paper, we perform wavefield simulation and analysis based on the Santos-Rayleigh model which incorporates mesoscopic and global flow in partially-saturated double-porosity media. Specifically, the mesoscopic flow mechanism is represented with a Zener viscoelastic model. The comparison shows that the Zener model can accurately capture the propagation characteristics of fast P-wave, but fails to represent the attenuation characteristics of slow P3 wave in the low-frequency band. It suggests that Zener viscoelastic model and slow wave modes follow different mechanisms. Then staggered grid finite-difference method is used to simulate wave propagation in double-porosity media, and the stiff problem is solved with a time-splitting algorithm, which can significantly improve computational efficiency. Based on above methods, the correctness of our algorithm is verified with derived analytical solution for a P-wave source in a uniform partially saturated poroelastic media. Analytical and numerical solutions are in good agreement and mean error is 0.33%. We provide some examples of wavefield snapshots and seismograms in homogeneous and layered heterogeneous media at seismic and ultrasonic frequencies. Simulation results demonstrate the strong attenuation of fast P-wave and no change of S-wave in the seismic band due to mesoscopic flow mechanism, which is consistent with the theoretical predictions of double-porosity model. Moreover, energy of fast P-wave is concentrated in solid phase while slow waves are stronger in fluid phases. This work contributes to the understanding of broadband elastic wave propagation in heterogeneous partially saturated porous media and can be applied in the reservoir imaging with broadband geophysical data.
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Keywords:
- double-porosity media /
- finite difference /
- dispersion and attenuation
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[1] Biot M A 1956 J. Acoust. Soc. Am. 28179
[2] Santos J E, Corberó J M, Douglas J 1990 J. Acoust. Soc. Am. 871428
[3] Liu L, Zhang X, Wang X 2022 J. Theor. Comp. Acout. 302150002
[4] Berryman J G, Wang H F 2000 Int J Rock Mech Min 3763
[5] Huang J, Yang D, He X, Chang Y 2023 Geophysics 88 T121
[6] Pride S R, Berryman J G, Harris J M 2004 J. Geophys. Res. 109 B01201
[7] Zheng P, Ding B, Sun X 2017 Int J Rock Mech Min 91104
[8] Ba J, Carcione J M, Nie J X 2011 J. Geophys. Res. 116 B06202
[9] Sun W, Ba J, Carcione J M 2016 Geophys. J. Int. 20522
[10] Ba J, Xu W, Fu L Y, Carcione J M, Zhang L 2017 J. Geophys. Res. Solid Earth 1221949
[11] Shi Z Q, He X, Liu L, Chen D H, Wang X M 2023 Acta Phys. Sin. 72069101(in Chinese) [石志奇,何晓,刘琳,陈德华,王秀明2023物理学报72069101]
[12] Shi Z, He X, Chen D, Wang X 2024 Geophys. J. Int. 2361172
[13] Ba J, Nie J X, Cao H, Yang H Z 2008 Geophys. Res. Lett. 35 L04303
[14] Liu X, Greenhalgh S, Zhou B 2009 Geophys. J. Int. 178375
[15] Liu X, Greenhalgh S 2019 Geophysics 84 WA59
[16] Wang E, Carcione J M, Ba J 2019 Geophysics 84 WA11
[17] Carcione J M 2015 Wave fields in real media: wave propagation in anisotropic, anelastic, porous and electromagnetic media (Amsterdam Boston [etc.]: Elsevier)
[18] Jiang Y, Gao Y, Cheng Q, Song Y 2023 Geophys. J. Int. 235970
[19] Virieux J 1986 Geophysics. 51889
[20] Wenzlau F, Müller T M 2009 Geophysics 74 T55
[21] Guan W, Hu H 2011 Commun. Comput. Phys. 10695
[22] Kong L Y, Wang Y B, Yang H Z 2013 Acta Phys. Sin. 62139101(in Chinese) [孔丽云,王一博,杨慧珠2013物理学报62139101]
[23] Liu C, Luo Y Q 2023 Chinese J. Geophys. 663840[刘财,罗玉钦2023地球物理学报663840]
[24] Zhao H, Wang X 2008 Sci. China Ser. G-Phys. Mech. Astron. 51723
[25] Deng W, Fu L Y, Wang Z, Hou W, Han T 2023 Geophys. J. Int. 2351218
[26] Carcione J M, Quiroga-Goode G 1995 J Comput Acoust 3261
[27] Komatitsch D, Martin R 2007 Geophysics 72 SM155
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