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《中国科学:物理学 力学 天文学(英文版)》 2014-06
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Wave dispersion and attenuation in viscoelastic isotropic media containing multiphase flow and its application

YANG Lei;YANG DingHui;NIE JianXin;Department of Mathematical Sciences,Tsinghua University;Computational Geophysics Laboratory,Tsinghua University;State Key Laboratory of Explosion Science and Technology,Beijing Institute of Technology;  
In this paper,we introduce the complex modulus to express the viscoelasticity of a medium. According to the correspondence principle,the Biot-Squirt(BISQ) equations in the steady-state case are presented for the space-frequency domain described by solid displacements and fluid pressure in a homogeneous viscoelastic medium. The effective bulk modulus of a multiphase flow is computed by the Voigt formula,and the characteristic squirt-flow length is revised for the gas-included case. We then build a viscoelastic BISQ model containing a multiphase flow. Through using this model,wave dispersion and attenuation are studied in a medium with low porosity and low permeability. Furthermore,this model is applied to observed interwell seismic data. Analysis of these data reveals that the viscoelastic parameter tanδ is not a constant. Thus,we present a linear frequency-dependent function in the interwell seismic frequency range to express tanδ. This improves the fit between the observed data and theoretical results.
【Fund】: supported by the National Natural Sciences Foundation of China(Grant Nos.41390452 and 11002025);; the National Science Foundation for Distinguished Young Scholars of China(Grant No.40725012)
【CateGory Index】: P631.4
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Nie Jianxin1, Yang Dinghui2, and Yang Huizhu31. State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China. 2. Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China. 3. Institute of Seismic Exploration, Tsinghua University, Beijing 100084, China.;A generalized viscoelastic Biot/squirt model for clay-bearing sandstones in a wide range of permeabilities[J];应用地球物理(英文版);2008-04
2 Ba Jing1, Cao Hong1, Yao Fengchang1, Nie Jianxin2, and Yang Huizhu31. Research Institute of Petroleum Exploration & Development, PetroChina, Beijing 1000084, China. 2. State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China. 3. Institute of Seismic Exploration, Tsinghua University, Beijing 100084, China.;Double-porosity rock model and squirt flow in the laboratory frequency band[J];应用地球物理(英文版);2008-04
3 He Tao1,Zou Chang-Chun2,Pei Fa-Gen2,Ren Ke-Ying3,Kong Fan-Da1,and Shi Ge11.Key Laboratory of Orogenic Belts and Crustal Evolution,MOE(School of Earth and Space Sciences,Peking University), Beijing 100871,China. 2.Key Laboratory of Geo-detection(China University of Geosciences,Beijing),Ministry of Education,Beijing 100083,China. 3.Zhanjiang Branch of China National Offshore Oil Corporation Ltd.,Zhanjiang 524057,China.;Laboratory study of fluid viscosity induced ultrasonic velocity dispersion in reservoir sandstones[J];应用地球物理(英文版);2010-02
4 SU Wei~1,LIU Cai~1,CHEN Chen~2(1.College of Geo-exploration science and technology,Jilin University,Changchun 130026;2.College of foreign language,Jilin University,Changchun 130012,China);Progress of seismoelectric in theory and research[J];Progress in Geophysics;2006-02
5 LI Zhen-chun,WANG Qing-zhen(China University of Petroleum,Dongying 257061,China);A review of research on mechanism of seismic attenuation and energy compensation[J];Progress in Geophysics;2007-04
6 YANG KUAN-DE 1,2)YANG DING-HUI 1)WANG SHU-QIANG 1) 1) Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China2) Mengzi Teacher's College, Yunnan 661100, China;WAVE-FIELD SIMULATION BASED ON THEBiot-Squirt EQUATION[J];Chinese Journal of Geophysics;2002-06
7 SHEN Yi Qing YANG Ding Hui Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China;THE GREEN FUNCTION OF TWO-PHASE MEDIA BISQ MODEL[J];Chinese Journal of Geophysics;2004-01
8 NIE Jian-Xin 1 YANG Ding-Hui 2 YANG Hui-Zhu 1 1 Department of Engineering Mechanics,Tsinghua University, Beijing 100084, China 2 Department of Mathematical Sciences,Tsinghua University, Beijing 100084, China;INVERSION OF RESERVOIR PARAMETERS BASED ON THE BISQ MODEL IN PARTIALLY SATURATED POROUS MEDIA[J];Chinese Journal of Geophysics;2004-06
9 LIU En-Ru,YUE Jian-Hua,PAN Dong-MingDepartment of Geophysics,China University of Mining and Technology,Xuzhou 221008,China;Frequency-dependent anisotropy: Effects of multiple fracture sets on shear-wave polarisations[J];Chinese Journal of Geophysics;2006-05
10 NIE Jian-Xin~1,YANG Ding-Hui~2,BA Jing~3 1 State Key Laboratory of Explosion Science and Technology,Beijing Institute of Technology,Beijing 100081,China 2 Department of Mathematical Sciences,Tsinghua University,Beijing 100084,China 3 Research Institute of Petroleum Exploration and Development,PetroChina,Beijing 100084,China;Velocity dispersion and attenuation of waves in low-porosity-permeability anisotropic viscoelastic media with clay[J];Chinese Journal of Geophysics;2010-02
China Proceedings of conference Full-text Database 2 Hits
1 LI Zhen-chun, WANG Qing-zhen( China University of Petroleum, Dongying 257061, China);A review of research on mechanism of seismic attenuation and energy compensation[A];[C];2007
2 GUO Gui-Hong~(1,2),ZHANG Zhi~3,JIN Shu-Xin~4,SHI Shuang-Hu~5, CHENG Jian-Wu~6,YAN Jian-Ping~7 1 Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing 100029,China 2 The Key Laboratory of Mechanics on Disaster and Environment in Western China & Lanzhou University,Lanzhou 730000,China 3 Guang xi Key Laboratory of Hidden Metallic Ore Deposits Exploration,College of Earth Sciences Guilin University of Technology,Guilin,541004,China 4 Sinopec International Petroleum Exploration and Production Corporation,Beijing 100083,China 5 BGP International,CNPC,Zhuozhou Hebei 072751,China 6 Lanzhou Institute of Seismology,China Earthquake Administration,Lanzhou 730000,China 7 School of Earth Sciences & Lanzhou University,Lanzhou 730000,China;Multi-scale fracture and fluid response characteristic in seismic data:Numerical simulation analysis[A];[C];2014
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