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Wavefield propagation characteristics in fracture-induced TTI double-porosity medium

Kong Li-Yun Wang Yi-Bo Yang Hui-Zhu

Wavefield propagation characteristics in fracture-induced TTI double-porosity medium

Kong Li-Yun, Wang Yi-Bo, Yang Hui-Zhu
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  • The direction of symmetry axis of parallel fracture set in fractured hydrocarbon reservoir affects the transmission of seismic waves markedly, so a medium named fracture-induced TTI (tilted transverse isotropy) double-porosity medium is studied here to discuss the effect of different dip and azimuth angles of a fracture system. Based on the theories of fracture-induced HTI (horizental transverse isotropy) double-porosity medium, the softness and dispersion matrixes of fracture-induced TTI double-porosity medium are derived with the application of Bond transform, and finally, single-order velocity-stress equations are obtained. Furthermore, numerical simulations in xoz plane of 2.5 dimensional vector wavefield are carried out by the method of high-order staggered-grid finite-difference under perfect matched layer (PML) boundary conditions. The results show that the dipand azimuth angles of fractures have great impacts on seismic wave propagation, since the angles can cause the phenomena of shear wave splitting and, in the two-layer model of fracture-induced TTI double-porosity, converted shear wave splitting and shear wave sub-splitting. All of these increase the complexity of seismic wavefield and will lay a foundation of further studies on seismic wave propagation in actual earth layers.
    • Funds: Project supported bythe National Natural Science Foundation of China (Grant No. 41274112), and the National Science and Technology Major Project of the Ministry of Science and Technology of China (Grant No. 2011ZX05004-003).
    [1]

    Gassmann F 1951 Geophysics 16 673

    [2]

    Biot M A 1956a J. Acoust. Soct. Am. 28 168

    [3]

    Biot M A 1956b J. Appl. Phys. 27 240

    [4]

    Dvorkin J, Nur A 1993 Geophysics 58 524

    [5]

    Yang D H 2002 WaveMotion 35 223

    [6]

    Zhang Z J 2002 Multi-component Seismic Data Anisotropic Processing and Interpretation Methods (in Chinese) [张忠杰 2002 多分量地震资料的各向异性处理与解释方法(黑龙江教育出版社)]

    [7]

    Crampin S 1997 Geophys. J. Roy. Astr. Soc. 49 9

    [8]

    Crampin S 1981 Wave Motion 3 343

    [9]

    Crampin S 1984 First Break2(3) 19

    [10]

    Thomsen L 1986 Geophysics 51 1954

    [11]

    Niu B H, He Q D, Sun C Y 1994 GPP 33 19 (in Chinese) [牛滨华, 何樵登, 孙春岩 1994 石油物探 33 19]

    [12]

    Schoenberg M, Sayers C M 1995 Geophysics 60 204

    [13]

    Alkhalifah T 2000 Geophysics 65 1239

    [14]

    Zhang L B, James W 2003 The 73rd Annual International Meeting, SEG, Expanded Abstracts p153

    [15]

    Du Q Z, Yang H Z 2004 Acta Phys. Sin. 53 2801 (in Chinese) [杜启振, 杨慧珠 2004 物理学报 53 2801]

    [16]

    Pei Z L, Wang S X 2005 Acta Seismological Sinica 27 441 (in Chinese) [裴正林, 王尚旭 2005 地震学报 27 441]

    [17]

    Wu G C, Luo C M, Liang K 2007 Journal of Jilin University (Earth science Edition) 37 1023 (in Chinese) [吴国忱, 罗彩明, 梁锴 2007 吉林大学学报 37 1023]

    [18]

    Du Q Z, Kong L Y, Han S C 2009 Chinese J. Geophys (in Chinese) 52 1049 (in Chinese) [杜启振, 孔丽云, 韩世春 2009 地球物理学报 52 1049]

    [19]

    Du Q Z, Sun R Y, Zhang Q 2011 OGP 46 187 (in Chinese) [杜启振, 孙瑞艳, 张强 2011 石油地球物理勘探 46 187]

    [20]

    Kong L Y, Wang Y B, Yang H Z 2012 Chinese J. Geophys (in Chinese) 55 189 (in Chinese) [孔丽云, 王一博, 杨慧珠 2012 地球物理学报 55 189]

    [21]

    Niu B H, Sun C Y 1994 Oil Geophysical Prospecting 29 685 (in Chinese) [牛滨华, 孙春岩 1994 石油地球物理勘探 29 685]

    [22]

    Liang K 2006 Ph. D. Dissertation (Dongying: China University of Petroleum (EastChina)) (in Chinese) [梁锴 2006 博士学位论文(东营:中国石油大学(华东)]

    [23]

    Liu J J, Du G L 2002 Journal of Xinjiang Petroleum Insititute (in Chinese) 14 (3) 36 (in Chinese) [刘建军, 杜广林 2002 新疆石油学院学报 14 (3) 36]

    [24]

    Biot M A 1962 Journal of Applied Physics 33 1482

    [25]

    Berryman J G, Wang H F 1995 J. Geophys. Res. 100 24611

    [26]

    Dong L G 2000 Chinese J. Geophys (in Chinese) 43 411 (in Chinese) [董良国 2000 地球物理学报 43 411]

    [27]

    Pei Z L 2006 Journal of the University of Petroleum, China (Edition of Natural Science) 30 (2) 16 (in Chinese) [裴正林 2006 中国石油大学学报(自然科学版) 30(2) 16]

    [28]

    BeerengerJ 1994 J. Comput. Phys. 114 185

    [29]

    Festa G, Nielsen S 2003 Bulletin of the Seismological Society of America 93 891

  • [1]

    Gassmann F 1951 Geophysics 16 673

    [2]

    Biot M A 1956a J. Acoust. Soct. Am. 28 168

    [3]

    Biot M A 1956b J. Appl. Phys. 27 240

    [4]

    Dvorkin J, Nur A 1993 Geophysics 58 524

    [5]

    Yang D H 2002 WaveMotion 35 223

    [6]

    Zhang Z J 2002 Multi-component Seismic Data Anisotropic Processing and Interpretation Methods (in Chinese) [张忠杰 2002 多分量地震资料的各向异性处理与解释方法(黑龙江教育出版社)]

    [7]

    Crampin S 1997 Geophys. J. Roy. Astr. Soc. 49 9

    [8]

    Crampin S 1981 Wave Motion 3 343

    [9]

    Crampin S 1984 First Break2(3) 19

    [10]

    Thomsen L 1986 Geophysics 51 1954

    [11]

    Niu B H, He Q D, Sun C Y 1994 GPP 33 19 (in Chinese) [牛滨华, 何樵登, 孙春岩 1994 石油物探 33 19]

    [12]

    Schoenberg M, Sayers C M 1995 Geophysics 60 204

    [13]

    Alkhalifah T 2000 Geophysics 65 1239

    [14]

    Zhang L B, James W 2003 The 73rd Annual International Meeting, SEG, Expanded Abstracts p153

    [15]

    Du Q Z, Yang H Z 2004 Acta Phys. Sin. 53 2801 (in Chinese) [杜启振, 杨慧珠 2004 物理学报 53 2801]

    [16]

    Pei Z L, Wang S X 2005 Acta Seismological Sinica 27 441 (in Chinese) [裴正林, 王尚旭 2005 地震学报 27 441]

    [17]

    Wu G C, Luo C M, Liang K 2007 Journal of Jilin University (Earth science Edition) 37 1023 (in Chinese) [吴国忱, 罗彩明, 梁锴 2007 吉林大学学报 37 1023]

    [18]

    Du Q Z, Kong L Y, Han S C 2009 Chinese J. Geophys (in Chinese) 52 1049 (in Chinese) [杜启振, 孔丽云, 韩世春 2009 地球物理学报 52 1049]

    [19]

    Du Q Z, Sun R Y, Zhang Q 2011 OGP 46 187 (in Chinese) [杜启振, 孙瑞艳, 张强 2011 石油地球物理勘探 46 187]

    [20]

    Kong L Y, Wang Y B, Yang H Z 2012 Chinese J. Geophys (in Chinese) 55 189 (in Chinese) [孔丽云, 王一博, 杨慧珠 2012 地球物理学报 55 189]

    [21]

    Niu B H, Sun C Y 1994 Oil Geophysical Prospecting 29 685 (in Chinese) [牛滨华, 孙春岩 1994 石油地球物理勘探 29 685]

    [22]

    Liang K 2006 Ph. D. Dissertation (Dongying: China University of Petroleum (EastChina)) (in Chinese) [梁锴 2006 博士学位论文(东营:中国石油大学(华东)]

    [23]

    Liu J J, Du G L 2002 Journal of Xinjiang Petroleum Insititute (in Chinese) 14 (3) 36 (in Chinese) [刘建军, 杜广林 2002 新疆石油学院学报 14 (3) 36]

    [24]

    Biot M A 1962 Journal of Applied Physics 33 1482

    [25]

    Berryman J G, Wang H F 1995 J. Geophys. Res. 100 24611

    [26]

    Dong L G 2000 Chinese J. Geophys (in Chinese) 43 411 (in Chinese) [董良国 2000 地球物理学报 43 411]

    [27]

    Pei Z L 2006 Journal of the University of Petroleum, China (Edition of Natural Science) 30 (2) 16 (in Chinese) [裴正林 2006 中国石油大学学报(自然科学版) 30(2) 16]

    [28]

    BeerengerJ 1994 J. Comput. Phys. 114 185

    [29]

    Festa G, Nielsen S 2003 Bulletin of the Seismological Society of America 93 891

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  • Received Date:  22 January 2013
  • Accepted Date:  06 March 2013
  • Published Online:  05 July 2013

Wavefield propagation characteristics in fracture-induced TTI double-porosity medium

  • 1. Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China;
  • 2. Institute of Geology and Geophysics, Chinese Academy of Science, Beijing 100029, China
Fund Project:  Project supported bythe National Natural Science Foundation of China (Grant No. 41274112), and the National Science and Technology Major Project of the Ministry of Science and Technology of China (Grant No. 2011ZX05004-003).

Abstract: The direction of symmetry axis of parallel fracture set in fractured hydrocarbon reservoir affects the transmission of seismic waves markedly, so a medium named fracture-induced TTI (tilted transverse isotropy) double-porosity medium is studied here to discuss the effect of different dip and azimuth angles of a fracture system. Based on the theories of fracture-induced HTI (horizental transverse isotropy) double-porosity medium, the softness and dispersion matrixes of fracture-induced TTI double-porosity medium are derived with the application of Bond transform, and finally, single-order velocity-stress equations are obtained. Furthermore, numerical simulations in xoz plane of 2.5 dimensional vector wavefield are carried out by the method of high-order staggered-grid finite-difference under perfect matched layer (PML) boundary conditions. The results show that the dipand azimuth angles of fractures have great impacts on seismic wave propagation, since the angles can cause the phenomena of shear wave splitting and, in the two-layer model of fracture-induced TTI double-porosity, converted shear wave splitting and shear wave sub-splitting. All of these increase the complexity of seismic wavefield and will lay a foundation of further studies on seismic wave propagation in actual earth layers.

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