|
|
|
| STUDY OF VISCOELASTIC BEHAVIOR OF SATURATED ROCKS BY USING NON-FORCED RESONANCE METHOD |
| XI Daoying1,2,XU Songlin3,ZHOU Chengguang4,DU Yun1,2,XI Jun5 |
| (1. Mengcheng National Geophysical Observatory,University of Science and Technology of China,Hefei,Anhui 230026,China;2. School of Earth and Space Science,University of Science and Technology of China,Hefei,Anhui 230026,China;3. Key Laboratory for Mechanical Behavior and Design of Materials of Chinese Academy of Sciences,University of Science and Technology of China,Hefei,Anhui 230027,China;4. Key Laboratory of Noise and Vibration Research,Institute of Acoustics,Chinese Academy of Sciences,Beijing 100190,China;5. School of Mechanical Engineering,Beijing Institute of Petrochemical Technology,Beijing 102671,China) |
|
|
|
|
Abstract Employing Metravib dynamic mechanical analyzer,saturated rock samples are loaded under sine wave loading model to simulate the viscoelastic behavior when seismic wave propagating in viscoelastic media. The static load is fixed to 120 N,and the dynamic load of the sine wave is 80 N;so that the total loading force is controlled under yield stress. Temperature is controlled between -40 ℃ and 100 ℃,and the frequency range is from 5 Hz to 400 Hz. Such two kinds of saturated rocks as pump-oil saturated Pengshan sandstones with two different porosities are tested under uniaxial cyclic loading. The variations of attenuation,elastic modulus,and elastic wave velocity with temperature or frequency are obtained. The energy attenuation peaks shift to higher temperatures when the frequency increases,which can be considered as thermal relaxation regularities. Damping attenuation mechanism is used to explain the experimental result that amplitude of attenuation peak decreases with the increasing frequency. The experimental results are in accord with the thermal relaxation regularities obtained by low-frequency resonant standing wave experiments,which show that the thermal relaxation regularities may widely exist in saturated rocks. The experimental results indicate that the elastic modulus and velocity increase with the increasing frequency and decrease when temperature increases. There is obvious frequency dispersion,and the dispersion weakens at high temperature area. The studies of ranges of frequency and temperature are very helpful to the study of theoretical model and seismic data interpretation. Study of attenuation of saturated rock is valuable for geophysical exploration,especially the exploration of geothermal steam or gas reservoirs.
|
|
Received: 17 November 2011
|
|
|
|
| [1] HUANG X R,MOHAN K. Reservoir characterization by integration of seismic and dynamic data[C]// Proceedings of the SPE/DOE 10th Symposium on Improved Oil Recovery. Tulsa,Oklahoma,USA:Society of Petroleum Engineers,1996:SPE paper number 34515.
[2] PENNINGTON W D. Seismic petrophysics:an applied science for reservoir geophysics[J]. The Leading Edge,1997,16(3):241–246.
[3] BURDICK L J. Estimation of the frequency dependence of Q from ScP and SeS phases[J]. Geophysical Journal Royal Astronomical Society,1985,80(1):35–55.
[4] BUTLER R. Azimuth,energy,Q,and temperature:variation of P-wave amplitudes in the United States[J]. Reviews of Geophysics,1984,22(1):1–36.
[5] KAN T K,BATZLE M L,GAISER J E. Attenuation measured from VSP:evidence of frequency-dependent Q[C]// Proceedings of the 53rd SEG Meeting. Las Vegas,USA:[s.n.],1983:589–590.
[6] JONES T D,NUR A. Velocity and attenuation in sandstone at elevated temperatures and pressures[J]. Geophysical Research Letters,1983,10(2):140–143.
[7] MEISSNER R. Attenuation of seismic waves in sediments[C]// Proceedings of the 11th World Petroleum Congress. London:[s.n.],1983:363–381.
[8] WILLIAMS M,LEIGHTON V,TAN H,et al. The Hugoton cross-well survey;a direct look at stratigraphy,seismic petrophysics and shale Anisotropy[C]// Proceedings of the 66th SEG Meeting. Denver,USA:[s.n.],1996:86–89.
[9] SAMS M S,NEEP J P,WORTHINGTON M H,et al. The measurement of velocity dispersion and frequency-dependent intrinsic attenuation in sedimentary rocks[J]. Geophysics,1997,62(5):1 456–1 464.
[10] MURPHY W M. Seismic to ultrasonic velocity drift:intrinsic absorption and dispersion in crystalline rock[J]. Geophysical Research Letters,1984,11(12):1 239–1 242.
[11] SCHMITT D R. Seismic attributes for monitoring of a shallow heated heavy oil reservoir:a case study[J]. Geophysics,1999,64(2):368– 377.
[12] XI D Y,LIU X Y,ZHANG C Y. The frequency(or time)-temperature equivalence of relaxation in saturated rocks[J]. Pure Applied Geophysics,2007,164(11):2 157–2 173.
[13] 席道瑛,刘 斌,刘 卫,等. 饱和多孔岩石弛豫衰减对时间和温度的依赖性[J]. 地球物理学报,2000,43(6):827–834.(XI Daoying,LIU Bin,LIU Wei,et al. The dependence relationship of relaxation attenuation on time and temperature of saturated rocks[J]. Chinese Journal of Geophysics,2000,43(6):827–834.(in Chinese))
[14] 席道瑛,陈运平,陶月赞,等. 岩石的非线性弹性滞后特征[J]. 岩石力学与工程学报,2006,25(6):1 086–1 093.(XI Daoying,CHEN Yunping,TAO Yuezan,et al. Nonlinear elastic hysteretic characteristics of rocks[J]. Chinese Journal of Rock Mechanics and Engineering,2006,25(6):1 086–1 093.(in Chinese))
[15] BATZLE M L,HAN D H,HOFMANN R. Fluid mobility and frequency-dependent seismic velocity direct measurements[J]. Geophysics,2006,71(1):N1–N9.
[16] GIST G A. Interpreting laboratory velocity measurements in partially gas-saturated rocks[J]. Geophysics,1994,59(7):1 100–1 109.
[17] PRIDE S R,HARRIS J M,JOHNSON D L,et al. Permeability dependence of seismic amplitudes[J]. The Leading Edge,2003,22(5):518–525.
[18] SPENCER J W. Stress relaxations at low frequencies in fluid saturated rocks:attenuation and modulus dispersion[J]. Journal of Geophysical Research,1981,86(B3):1 803–1 812.
[19] BATZLE M,WANG Z J. Seismic properties of pore fluids[J]. Geophysics,1992,57(11):1 396–1 408.
[20] BATZLE M,HOFMANN R,HAN D,et al. Attenuation and velocity dispersion at seismic frequencies[C]// Proceedings of the 66th SEG Meeting. Denver,USA:[s.n.],1996:1 687–1 690.
[21] BATZLE M,HOFMANN R,HAN D H,et al. Fluids and frequency dependent seismic velocity of rocks[J]. The Leading Edge,2001,20(2):168–171.
[22] XI D Y,LIU B,TIAN X Y. Anisotropy and nonlinear viscoelastic behavior of saturated rocks[J]. Chinese Journal of Geophysics,2002,45(1):109–118.
[23] 席道瑛,杜 赟,席 军,等. 饱和砂岩在疲劳载荷作用下的黏弹性性质[J]. 岩石力学与工程学报,2011,30(5):865–870.(XI Daoying,DU Yun,XI Jun,et al. Viscoelastic properties of saturated sandstones under fatigue loading[J]. Chinese Journal of Rock Mechanics and Engineering,2011,30(5):865–870.(in Chinese))
[24] GIST G A. Fluid effect on velocity and attenuation in sandstone[J]. Journal of the Acoustical Society of America,1994,96(2):1 158– 1 173.
[25] 席道瑛,徐松林,席 军,等. 饱和砂岩的黏弹行为的试验研究[J]. 地球物理学报,2011,54(9):2 302–2 308.(XI Daoying,XU Songlin,XI Jun,et al. Experimental research on viscoelastic behavior of saturated rocks[J]. Chinese Journal of Geophysics,2011,54(9):2 302–2 308.(in Chinese))
[26] 席 军,杜 赟,徐松林,等. 饱和岩石滞弹性弛豫机制的试验研究[J]. 实验力学,2011,26(3):316–322.(XI Jun,DU Yun,XU Songlin,et al. Experimental research on an elastic relaxation mechanism of saturated rocks[J]. Chinese Journal of Experimental Mechanics,2011,26(3):316–322.(in Chinese))
[27] 葛庭燧. 固体内耗理论基础[M]. 北京:科学出版社,2000:23–37.(GE Tingsui. Theoretical foundation of solid internal friction[M]. Beijing:Science Press,2000:23–37.(in Chinese)) |
|
|
|