1887

Abstract

Summary

Wave equations for the two-phase VTI media based on BISQ model include frequency-dependent coefficients, therefore, accurate numerical simulation based on such model should be performed in frequency domain. The results prove the implementation of such reasonable and accurate numerical method is achievable. We extend the method of 25 points finite-difference frequency-space domain simulation to the two-phase fluid-saturated VTI medium for the first time. Attenuation and dispersion of waves propagating in porous media are investigated based on BISQ model by comparison with those based on Biot model. We show that under the coupling action of Biot flow and squirt flow, velocity and amplitude of fast qP-wave propagating in two-phase VTI media are smaller than those in two-phase VTI media only under the action of Biot flow. Also, under the action of Biot flow and squirt flow, slow qP-wave is attenuated considerably so that it cannot be observed in the modelling results. But the velocity and amplitude of qS-wave have no obvious difference in the two circumstances. This may reveal that squirt flow has an important influence on the attenuation and dispersion of qP-wave but a smaller influence on qS-wave, which is consistent with the theoretical analysis based on BISQ model.

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/content/papers/10.3997/2214-4609.20140877
2014-06-16
2024-03-28
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References

  1. Biot, M.A.
    [1956] Theory of propagation of elastic waves in a fluid-saturated porous solid, Part I: low frequency range. The Acoustical Society of America, 28(2), 168–178.
    [Google Scholar]
  2. Carcione, J.M. and Gurevich, B.
    [2011] Differential form and numerical implementation of Biot’s poroelasticity equations with squirt dissipation. Geophysics, 76(6), N55–N64.
    [Google Scholar]
  3. Dvorkin, J. and Nur, A.
    [1993] Dynamic poroelasticity: A unified model with the squirt and the Biot mechanisms. Geophysics, 58(4), 524–533.
    [Google Scholar]
  4. Du, Q.Z., Wang, X.M. et al.
    [2012] An equivalent medium model for wave simulation in fractured porous rocks. Geophysical Prospecting, 60(5), 940–956.
    [Google Scholar]
  5. Liu, C., Lan, H.T. et al.
    [2013] Pseudo-spectral modeling and feature analysis of wave propagation in two-phase HTI medium based on reformulated BISQ mechanism. Chinese J. Geophys.(in Chinese), 56(10), 3461–3473.
    [Google Scholar]
  6. Min, D.J., Shin, C. et al.
    [2000] Improved frequency-domain elastic wave modeling using weighted-averaging difference operators. Geophysics, 65(3), 884–895.
    [Google Scholar]
  7. Parra, J.O.
    [1997] The transversely isotropic poroelastic wave equation including the Biot and the squirt mechanisms: Theory and application. Geophysics, 62(1), 309–318.
    [Google Scholar]
  8. Yang, D.H. and Zhang, Z.J.
    [2002] Poroelastic wave equation including the Biot/squirt mechanism and the solid/fluid coupling anisotropy. Wave Motion, 35(3), 223–245.
    [Google Scholar]
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