Influence of fluid saturation in soft pores on elastic modulus dispersion and attenuation of rocks under partial saturation condition at seismic frequencies

LiMing ZHAO, CaiPing LU, Yang LIU

Prog Geophy ›› 2024, Vol. 39 ›› Issue (5) : 1874-1885.

PDF(4000 KB)
Home Journals Progress in Geophysics
Progress in Geophysics

Abbreviation (ISO4): Prog Geophy      Editor in chief:

About  /  Aim & scope  /  Editorial board  /  Indexed  /  Contact  / 
PDF(4000 KB)
Prog Geophy ›› 2024, Vol. 39 ›› Issue (5) : 1874-1885. DOI: 10.6038/pg2024HH0448

Influence of fluid saturation in soft pores on elastic modulus dispersion and attenuation of rocks under partial saturation condition at seismic frequencies

Author information +
History +

Abstract

A micro-and mesoscopic dual-scale fluid flow model with different soft pore saturations was developed in this paper, so as to reveal the influence of micro-and mesoscopic dual-scale fluid flow on the modulus dispersion and attenuation of partially saturated rocks at seismic frequencies. Based on the Betti-Rayleigh reciprocity theorem, frequency-dependent wet frame moduli with different soft pore saturations were derived, and then the wet frame moduli were incorporated into the White spherical patchy saturation model to obtain the model. The numerical calculation using the model showed that: (1) When the saturation of the rock was constant, the modulus dispersion and attenuation of the partially saturated rock increased as the soft pore saturation increased. When the soft pores were completely saturated, the modulus dispersion and attenuation reached their maximum values. On the other hand, there were two attenuation peaks: one at lower frequencies was related to the mesoscopic flow, and the other at higher frequencies was related to the microscopic flow. (2) When the difference between the characteristic frequencies of the mesoscopic and microscopic fluid flows was large, the different saturations of the soft pores had a small effect on the mesoscopic fluid flow but a larger effect on the microscopic fluid flow. When the soft pores were fully saturated, the effect on the microscopic fluid flow was the largest. As the characteristic frequencies of the mesoscopic and microscopic fluid flows approached each other, the effect of soft pore saturation on the mesoscopic fluid flow increased, and the effect was enhanced with an increase in soft pore saturation. (3) Compared with the micro-and mesoscopic dual-scale model of Li et al. (2018), the model of Li et al. (2018) can effectively predict the variation in the moduli of partially saturated rocks at high frequencies, but may fail at seismic and sonic frequencies. After modification of the model, it could effectively predict the variations in the moduli of partially saturated rocks at different frequencies. Finally, the newly developed model reasonably explained the attenuation data of partially saturated sandstone, and the effectiveness of the model was verified, suggesting that when the rock is partially fluid-saturated, the partial saturation of soft pores is more consistent with reality.

Key words

Partial saturation / Micro-and mesoscopic fluid flow / Squirt flow / Patchy saturation / Betti-Rayleigh reciprocity theorem / Seismic frequencies

Cite this article

Download Citations
LiMing ZHAO , CaiPing LU , Yang LIU. Influence of fluid saturation in soft pores on elastic modulus dispersion and attenuation of rocks under partial saturation condition at seismic frequencies[J]. Progress in Geophysics. 2024, 39(5): 1874-1885 https://doi.org/10.6038/pg2024HH0448

References

Adelinet M , Fortin J , Guéguen Y . Dispersion of elastic moduli in a porous-cracked rock: Theoretical predictions for squirt-flow. Tectonophysics, 2011, 503(1-2 173 181.
Alkhimenkov Y , Quintal B . A simple and accurate model for attenuation and dispersion caused by squirt flow in isotropic porous rocks. Geophysics, 2024, 89(1): MR1-MR10.
Ba J , Carcione J M , Cao H . Velocity dispersion and attenuation of P waves in partially-saturated rocks: Wave propagation equations in double-porosity medium. Chinese Journal of Geophysics, 2012, 55(1): 219-231.
Ba J , Zhao J G , Carcione J M . Compressional wave dispersion due to rock matrix stiffening by clay squirt flow. Geophysical Research Letters, 2016, 43(12): 6186-6195.
Biot M A . Theory of propagation of elastic waves in a fluid-saturated porous solid. Ⅰ. Low-frequency range. The Journal of the Acoustical Society of America, 1956a, 28(2): 168-178.
Biot M A . Theory of propagation of elastic waves in a fluid-saturated porous solid. Ⅱ. Higher frequency range. The Journal of the Acoustical Society of America, 1956b, 28(2): 179-191.
Chapman S , Tisato N , Quintal B . Seismic attenuation in partially saturated Berea sandstone submitted to a range of confining pressures. Journal of Geophysical Research: Solid Earth, 2016, 121(3): 1664-1676.
Chen F B , Zong Z Y , Yin X Y . Pressure and frequency dependence of elastic moduli of fluid-saturated dual-porosity rocks. Geophysical Prospecting, 2023, 71(8): 1599-1615
Deng J X , Wang S X , Du W . A study of the influence of mesoscopic pore fluid flow on the propagation properties of compressional wave——a case of periodic layered porous media. Chinese Journal of Geophysics, 2012, 55(8): 2716-2727.
Deng J X , Zhou H , Wang H . The influence of pore structure in reservoir sandstone on dispersion properties of elastic waves. Chinese Journal of Geophysics, 2015, 58(9): 3389-3400.
Dutta N C , Seriff A J . On White's model of attenuation in rocks with partial gas saturation. Geophysics, 1979, 44(11): 1806-1812.
Guo J X , Cao C H , Chen X F . Effects of intrinsic anisotropy on seismic dispersion, attenuation and frequency-dependent anisotropy. Chinese Science Bulletin, 2023, 68(26): 3491-3505.
Gurevich B , Makarynska D , De Paula O B . A simple model for squirt-flow dispersion and attenuation in fluid-saturated granular rocks. Geophysics, 2010, 75(6): N109-N120.
Gurevich B , Makarynska D , Pervukhina M . Ultrasonic moduli for fluid-saturated rocks: Mavko-Jizba relations rederived and generalized. Geophysics, 2009, 74(4): N25-N30.
Han X , Wang S X , Tang G Y . Coupled effects of pressure and frequency on velocities of tight sandstones saturated with fluids: measurements and rock physics modelling. Geophysical Journal International, 2021, 226(2): 1308-1321.
He Y X , Yan G Q , Wei X . Experimental mechanism of elastic parameters in saturated carbonate at seismic frequencies: role of pressure and pore fluid. Chinese Journal of Geophysics, 2023, 66(12): 5141-5156.
Johnson D L . Theory of frequency dependent acoustics in patchy-saturated porous media. The Journal of the Acoustical Society of America, 2001, 110(2): 682-694.
Le Ravalec M , Guéguen Y , Chelidze T . Elastic wave velocities in partially saturated rocks: Saturation hysteresis. Journal of Geophysical Research: Solid Earth, 1996, 101(B11): 837-844.
Li D Q , Wei J X , Di B R . Experimental study and theoretical interpretation of saturation effect on ultrasonic velocity in tight sandstones under different pressure conditions. Geophysical Journal International, 2018, 212(3): 2226-2237.
Li H , Wang D X , Gao J H . Role of saturation on elastic dispersion and attenuation of tight rocks: An experimental study. Journal of Geophysical Research: Solid Earth, 2020, 125(4): e2019JB018513.
Li M L , Liu H J , Yang H W . Experimental study on cross-frequency wave velocity and dispersion in rocks. Oil Geophysical Prospecting, 2020, 55(2): 373-378.
Liao J P , Luo Z K , Wen P . Characterization of velocity dispersion and attenuation of gas-water two-phase saturated rock based on Chapman model. Progress in Geophysics, 2023, 38(2): 690-699.
Ling X , Lei D W , Yang W X . Analysis of dispersive AVO characteristics based on an improved mesoscopic fracture rock physics model. Geophysical Prospecting for Petroleum, 2023, 62(6): 1101-1114.
Liu J , Ma J M , Yang H Z . Research on P-wave's propagation in White's sphere model with patchy saturation. Chinese Journal of Geophysics, 2010, 53(4): 954-962.
Mavko G , Jizba D . Estimating grain-scale fluid effects on velocity dispersion in rocks. Geophysics, 1991, 56(12): 1940-1949.
Mavko G , Mukerji T , Dvorkin J . The Rock Physics Handbook: Tools for Seismic Analysis in Porous Media 2nd ed. New York Cambridge University Press 2009
Mavko G , Nolen-Hoeksema R . Estimating seismic velocities at ultrasonic frequencies in partially saturated rocks. Geophysics, 1994, 59(2): 252-258.
Mavko G M , Nur A . Wave attenuation in partially saturated rocks. Geophysics, 1979, 44(2): 161-178.
Müller T M , Gurevich B , Lebedev M . Seismic wave attenuation and dispersion resulting from wave-induced flow in porous rocks-A review. Geophysics, 2010, 75(5): 75A147-75A164.
Ouyang F , Zhao J G , Li Z . Modeling velocity dispersion and attenuation using pore structure characteristics of rock. Chinese Journal of Geophysics, 2021, 64(3): 1034-1047.
Papageorgiou G , Chapman M . Wave-propagation in rocks saturated by two immiscible fluids. Geophysical Journal International, 2017, 209(3): 1761-1767.
Pervukhina M , Gurevich B , Dewhurst D N . Applicability of velocity-stress relationships based on the dual porosity concept to isotropic porous rocks. Geophysical Journal International, 2010, 181(3): 1473-1479.
Pimienta L , Fortin J , Guéguen Y . Bulk modulus dispersion and attenuation in sandstones. Geophysics, 2015a, 80(2): D111-D127.
Pimienta L , Fortin J , Guéguen Y . Experimental study of Young's modulus dispersion and attenuation in fully saturated sandstones. Geophysics, 2015b, 80(5): L57-L72.
Pride S R , Berryman J G , Harris J M . Seismic attenuation due to wave-induced flow. Journal of Geophysical Research: Solid Earth, 2004, 109(B1): B01201.
Ren S B , Han T C , Fu L Y . Theoretical and experimental study of P-wave attenuation in partially saturated sandstones under different pressures. Chinese Journal of Geophysics, 2020, 63(7): 2722-2736.
Rubino J G , Holliger K . Research note: Seismic attenuation due to wave-induced fluid flow at microscopic and mesoscopic scales. Geophysical Prospecting, 2013, 61(4): 882-889.
Song Y J , Hu H S . Elastic waves in fluid-saturated rocks with randomly orientated slit cracks. Chinese Science Bulletin, 2023, 68(26): 3529-3542.
Song Y J , Hu H S , Rudnicki J W . Dynamic bulk and shear moduli due to grain-scale local fluid flow in fluid-saturated cracked poroelastic rocks: Theoretical model. Journal of the Mechanics and Physics of Solids, 2016, 92: 28-54.
Subramaniyan S , Quintal B , Madonna C . Laboratory-based seismic attenuation in Fontainebleau sandstone: Evidence of squirt flow. Journal of Geophysical Research: Solid Earth, 2015, 120(11): 7526-7535.
Sun C , Fortin J , Borgomano J V M . Influence of fluid distribution on seismic dispersion and attenuation in partially saturated limestone. Journal of Geophysical Research: Solid Earth, 2022, 127(5): e2021JB023867.
Sun C , Zhang H , Tang G Y . 3D digital core applied to numerically predict elastic response caused by mesoscopic flow. Chinese Journal of Geophysics, 2023, 66(8): 3444-3462.
Sun W T , Liu J W , Ba J . Theoretical models of elastic wave dispersion-attenuation in porous medium. Progress in Geophysics, 2015, 30(2): 586-600.
Sun Y Y , Carcione J M , Gurevich B . Squirt-flow seismic dispersion models: a comparison. Geophysical Journal International, 2020, 222(3): 2068-2082.
Tisato N , Quintal B . Measurements of seismic attenuation and transient fluid pressure in partially saturated Berea sandstone: evidence of fluid flow on the mesoscopic scale. Geophysical Journal International, 2013, 195(1): 342-351.
White J E . Computed seismic speeds and attenuation in rocks with partial gas saturation. Geophysics, 1975, 40(2): 224-232.
White J E , Mihailova N , Lyakhovitsky F . Low-frequency seismic waves in fluid-saturated layered rocks. The Journal of the Acoustical Society of America, 1975, 57(S1): S30.
Yin H J , Zhao J G , Tang G Y . Pressure and fluid effect on frequency-dependent elastic moduli in fully saturated tight sandstone. Journal of Geophysical Research: Solid Earth, 2017, 122(11): 8925-8942.
Zhang G Z , He F , Zhang J J . Velocity dispersion and attenuation at microscopic and mesoscopic wave-induced fluid flow. Oil Geophysical Prospecting, 2017, 52(4): 743-751.
Zhao L M , Chen T J , Mukerji T . Bulk modulus for fluid-saturated rocks at high frequency: modification of squirt flow model proposed by Mavko & Jizba. Geophysical Journal International, 2021a, 225(3): 1714-1724.
Zhao L M , Tang G Y , Sun C . Dual attenuation peaks revealing mesoscopic and microscopic fluid flow in partially oil-saturated Fontainebleau sandstones. Geophysical Journal International, 2021b, 224(3): 1670-1683.
Zhao L X , Wang Y R , Yao Q L . Extended Gassmann equation with dynamic volumetric strain: Modeling wave dispersion and attenuation of heterogeneous porous rocks. Geophysics, 2021c, 86(3): MR149-MR164.
继新 , 尚旭 , . 介观尺度孔隙流体流动作用对纵波传播特征的影响研究——以周期性层状孔隙介质为例. 地球物理学报, 2012, 55(8): 2716-2727.
继新 , , . 基于储层砂岩微观孔隙结构特征的弹性波频散响应分析. 地球物理学报, 2015, 58(9): 3389-3400.
俊鑫 , 呈浩 , 晓非 . 本征各向异性对地震波频散、衰减与频变各向异性的影响. 科学通报, 2023, 68(26): 3491-3505.
艳晓 , 国庆 , . 饱和碳酸盐岩地震频带弹性参数响应的实验机理分析研究: 压力与孔隙流体影响. 地球物理学报, 2023, 66(12): 5141-5156.
民龙 , 浩杰 , 宏伟 . 跨频段岩石波速及频散的实验研究. 石油地球物理勘探, 2020, 55(2): 373-378.
建平 , 志坤 , . 基于Chapman模型的气水两相饱和岩石速度频散及衰减表征. 地球物理学进展, 2023, 38(2): 690-699.
, 德文 , 万祥 . 基于改进的介观裂缝岩石物理模型的频散AVO特征分析. 石油物探, 2023, 62(6): 1101-1114.
, 坚伟 , 慧珠 . White球状Patchy模型中纵波传播研究. 地球物理学报, 2010, 53(4): 954-962.
欧阳 , 建国 , . 基于微观孔隙结构特征的速度频散和衰减模拟. 地球物理学报, 2021, 64(3): 1034-1047.
舒波 , 同城 , 力耘 . 不同压力下部分饱和砂岩纵波衰减的理论及实验研究. 地球物理学报, 2020, 63(7): 2722-2736.
永佳 , 恒山 . 含随机指向狭缝流体饱和岩石中的弹性波. 科学通报, 科学通报, 2023, 68(26): 3529-3542.
, 怀 , 跟阳 . 基于三维数字岩心的介观尺度流弹性响应数值模拟. 地球物理学报, 2023, 66(8): 3444-3462.
卫涛 , 嘉玮 , . 孔隙介质弹性波频散—衰减理论模型. 地球物理学进展, 2015, 30(2): 586-600.
广智 , , 佳佳 . 微观与介观波致流下的速度频散与衰减. 石油地球物理勘探, 2017, 52(4): 743-751.

感谢审稿专家提出的修改意见和编辑部的大力支持!

RIGHTS & PERMISSIONS

Copyright ©2024 Progress in Geophysics. All rights reserved.
PDF(4000 KB)

Accesses

Citation

Detail

Sections
Recommended

/