CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2019, Vol. 36 ›› Issue (3): 298-304.DOI: 10.19596/j.cnki.1001-246x.7847

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Effect of Mesoscopic Flow on Elastic Wave Propagation in Heterogeneous Double Porosity Media

SHI Jiancheng, ZHENG Pei, GAO Zhe   

  1. School of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China
  • Received:2018-02-11 Revised:2018-06-06 Online:2019-05-25 Published:2019-05-25

Abstract: Based on mesoscopic heterogeneity theory model of Pride and Berryman, coupled dynamical equations were deduced with a group of displacements, and a group with displacement and pore pressure. With double-porosity model, elastic wave expression of phase velocity and inverse quality factor are deduced. Influence of mesoscopic flow on propagation of elastic waves was discussed. Numerical examples show that velocity of fast wave increases rapidly with increase of frequency, and mesoscopic flow loss is at least higher one order of magnitude than Biot loss. Besides, mesoscopic flow has different influence on slow wave. It is proved that mesoscopic flow is the main factor of wave energy loss and velocity dispersion.

Key words: mesoscopic heterogeneity, patchy saturation, double-porosity medium, mesoscopic flow, wave propagation

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