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Volume 41 Issue 9
Sep.  2015
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Journal of Beijing University of Aeronautics and Astronautics  > 2015  >  41(9): 1686-1692.
LIU Ning, LI Min, CHEN Weiminet al. Wave propagation in cracked elastic media based on EMT using FEM[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(9): 1686-1692. doi: 10.13700/j.bh.1001-5965.2014.0663(in Chinese)
Citation: LIU Ning, LI Min, CHEN Weiminet al. Wave propagation in cracked elastic media based on EMT using FEM[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(9): 1686-1692. doi: 10.13700/j.bh.1001-5965.2014.0663(in Chinese)
shu

Wave propagation in cracked elastic media based on EMT using FEM

doi: 10.13700/j.bh.1001-5965.2014.0663
  • 1.

    School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

  • 2. Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China

  • Received Date: 24 Oct 2014
  • Publish Date: 20 Sep 2015
    Abstract
  • Understanding mechanism of wave propagation in elastic media with cracks is the key scientific issue in exploration and extraction of shale and other unconventional oil and gas resources. Based on the advantages of the numerical simulation, the excitation and propagation of elastic wave in the cracked media were simulated by Nastran, a commercial solver for finite element analysis. Then the dependence of dynamic characteristics of propagation in that kind of media was further analyzed based on the microstructure (crack density, aspect ratio). Some conclusions were obtained as follows. Finite element method (FEM) would be effectively used to study the issue. Hudson's effective medium theory (EMT) could not be applied into materials with Poisson's ratio of nearly 0.5. Increasing crack density and aspect ratio would reduce the primary wave (P wave) velocity, with decaying the displacement amplitude of the P wave in time-domain. Crack density of the medium exposes greater effect on the anisotropy than the aspect ratio.

     

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    • References(20)
  • [1]
    Guéguen Y,Kachanov M.Mechanics of crustal rocks[M].Vienna:Springer,2011:73-125.
    [2]
    Mackenzie J K.The elastic constants of a solid containing spherical holes[J].Proceedings of the Physical Society.Section B.1950,63(1):1.
    [3]
    Eshelby J D.The determination of the elastic field of an ellipsoidal inclusion,and related problems[J].Proceedings of the Royal Society of London.Series A.Mathematical and Physical Sciences,1957,241(1226):376-396.
    [4]
    Bristow J R.Microcracks,and the static and dynamic elastic constants of annealed and heavily cold-worked metals[J].British Journal of Applied Physics,1960,11(2):81.
    [5]
    Walsh J B.The effect of cracks on the compressibility of rock[J].Journal of Geophysical Research,1965,70(2):381-389.
    [6]
    Hudson J A.Overall properties of a cracked solid[C]//Mathematical Proceedings of the Cambridge Philosophical Society.Cambridge:Cambridge University Press,1980,88(2):371-384.
    [7]
    Hudson J A.Seismic wave propagation through material containing partially saturated cracks[J].Geophysical Journal International,1988,92(1):33-37.
    [8]
    Hudson J A.Wave speeds and attenuation of elastic waves in material containing cracks[J].Geophysical Journal International,1981,64(1):133-150.
    [9]
    曾新吾,韩开锋,张光莹.含裂缝介质中的弹性波传播特性[M].北京:科学出版社,2013:1-5,18-40,98-121.Zeng X W,Han K F,Zhang G Y.Elastic wave propagation characteristics in cracked media[M].Beijing:Science Press,2013:1-5,18-40,98-121(in Chinese).
    [10]
    Courant R.Variational methods for the solution of problems of equilibrium and vibrations[J].Bulletin of American Mathematical Society,1943,49(1):1-23.
    [11]
    Aoki S,Kishimoto K,Kondo H,et al.Elastodynamic analysis of crack by finite element method using singular element[J].International Journal of Fracture,1978,14(1):59-68.
    [12]
    Taylor L M,Chen E,Kuszmaul J S.Microcrack-induced damage accumulation in brittle rock under dynamic loading[J].Computer Methods in Applied Mechanics and Engineering,1986,55(3):301-320.
    [13]
    Ma G W,Hao H,Zhou Y X.Modeling of wave propagation induced by underground explosion[J].Computers and Geotechnics,1998,22(3):283-303.
    [14]
    Garboczi E J,Berryman J G.Elastic moduli of a material containing composite inclusions:Effective medium theory and finite element computations[J].Mechanics of Materials,2001,33(8):455-470.
    [15]
    Grechka V,Kachanov M.Effective elasticity of rocks with closely spaced and intersecting cracks[J].Geophysics,2006,71(3):D85-D91.
    [16]
    Gaede O,Karpfinger F,Jocker J,et al.Comparison between analytical and 3D finite element solutions for borehole stresses in anisotropic elastic rock[J].International Journal of Rock Mechanics and Mining Sciences,2012,51:53-63.
    [17]
    Mavko G,Mukerji T,Dvorkin J.The rock physics handbook:Tools for seismic analysis of porous media[M].Cambridge:Cambridge University Press,2009:21-76.
    [18]
    Thomsen L.Weak elastic anisotropy[J].Geophysics,1986,51(10):1954-1966.
    [19]
    王勖成.有限单元法[M].北京:清华大学出版社,2003: 468-520.Wang X C.Finite element method[M].Beijing:Tsinghua University Press,2003:468-520(in Chinese).
    [20]
    Liu N,Wang Y,Li M,et al.Nonlinear buckling analyses of a small-radius carbon nanotube[J].Journal of Applied Physics,2014,115(15):154301.
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