Wave propagation in cracked elastic media based on EMT using FEM

被引：0
作者：
Liu, Ning [1 ]
Li, Min [1 ]
Chen, Weimin [2 ]
机构：
[1] School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing
[2] Institute of Mechanics, Chinese Academy of Sciences, Beijing
来源：
Beijing Hangkong Hangtian Daxue Xuebao/Journal of Beijing University of Aeronautics and Astronautics | 2015年 / 41卷 / 09期
关键词：
Aspect ratio; Crack number density; Finite element method (FEM); Frequency; Hudson's theory;
D O I：
10.13700/j.bh.1001-5965.2014.0663
中图分类号：
学科分类号：
摘要：
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. ©, 2015, Beijing University of Aeronautics and Astronautics (BUAA). All right reserved.
引用
收藏
页码：1686 / 1692
页数：6
相关论文
共 20 条
  • [1] Gueguen Y., Kachanov M., Mechanics of Crustal Rocks, pp. 73-125, (2011)
  • [2] Mackenzie J.K., The elastic constants of a solid containing spherical holes, Proceedings of the Physical Society. Section B, 63, 1, (1950)
  • [3] Eshelby J.D., The determination of the elastic field of an ellipsoidal inclusion, and related problems, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 241, 1226, pp. 376-396, (1957)
  • [4] Bristow J.R., Microcracks, and the static and dynamic elastic constants of annealed and heavily cold-worked metals, British Journal of Applied Physics, 11, 2, (1960)
  • [5] Walsh J.B., The effect of cracks on the compressibility of rock, Journal of Geophysical Research, 70, 2, pp. 381-389, (1965)
  • [6] Hudson J.A., Overall properties of a cracked solid, Mathematical Proceedings of the Cambridge Philosophical Society, 88, 2, pp. 371-384, (1980)
  • [7] Hudson J.A., Seismic wave propagation through material containing partially saturated cracks, Geophysical Journal International, 92, 1, pp. 33-37, (1988)
  • [8] Hudson J.A., Wave speeds and attenuation of elastic waves in material containing cracks, Geophysical Journal International, 64, 1, pp. 133-150, (1981)
  • [9] Zeng X.W., Han K.F., Zhang G.Y., Elastic Wave Propagation Characteristics in Cracked Media, (2013)
  • [10] Courant R., Variational methods for the solution of problems of equilibrium and vibrations, Bulletin of American Mathematical Society, 49, 1, pp. 1-23, (1943)
12