Journal of Jilin University(Earth Science Edition) ›› 2021, Vol. 51 ›› Issue (4): 1268-1275.doi: 10.13278/j.cnki.jjuese.20210049

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Numerical Simulation and Waveform Characteristics of Borehole Acoustic Field in Kelvin-Voigt Viscoelastic Medium Well

Yue Chongwang1, Wang Zhuwen2   

  1. 1. College of Geological Engineering & Surveying, Chang'an University, Xi'an 710054, China;
    2. College of GeoExploration Science and Technology, Jilin University, Changchun 130026, China
  • Received:2021-02-06 Online:2021-07-26 Published:2021-08-02
  • Supported by:
    Supported by the National Natural Science Foundation of China (41874135, 41504090)

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Abstract: The rock medium has viscous properties, and the viscoelastic medium model is closer to the real situation of the rock medium than the elastic medium model. According to the constitutive relationship of the Kelvin-Voigt viscoelastic element model, the staggered grid finite difference equations of the viscoelastic isotropic medium in the cylindrical coordinate system are derived, and the numerical simulation of acoustic field of the wellbore in viscoelastic medium are completed. The simulation results show that the rock quality factor and the acoustic source center frequency have effects on the acoustic field inside and outside the well in the viscoelastic medium:The attenuation of the acoustic field outside and inside the well decreases with the increase of the quality factor, and the wave amplitude outside the well and the reflected wave amplitude increase accordingly; The attenuation of the acoustic field outside the well decreases with the increase of the source center frequency, and the wave amplitude outside the well increases accordingly; The attenuation of the acoustic field in the well increases with the increase of the source center frequency, and the wave amplitude in the well decreases accordingly.

Key words: Kelvin-Voigt model, viscoelastic medium, staggered grid finite difference, borehole acoustic field, waveform characteristics

CLC Number: 

  • P631.8
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