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Estimation of hydro-fracture parameters by analysis of tube waves at vertical seismic profiling

  • Acoustics of Structurally Inhomogeneous Solid Media. Geological Acoustics
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Abstract

The problem on tube wave excitation in a well intersected by a finite-size fluid-filled crack under action of external seismic wave is considered. This situation appears at vertical seismic profiling (VSP) in the presence of hydro-fracture intersecting the borehole. A heterogeneous integral-differential equation for the fluid pressure field in fracture is derived in the long-wave approximation by the fracture opening. Stitching of the solution for pressure in fracture with that for tube waves in a well allows to calculate the amplitude and shape of generated tube waves. Numerical computations that under action of the external seismic field the crack edges excite a strongly dispersive mode of a thin fluid layer which can be used for estimation of linear fracture size on the basis of VSP technique.

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References

  1. W. B. Beydoun, C. H. Cheng, and M. N. Toksoz, J. Geophys. Res. B 90, 4557 (1985).

    Article  ADS  Google Scholar 

  2. X. M. Tang and C. H. Cheng, Geophys. Res. 94, 7567 (1989).

    Article  ADS  Google Scholar 

  3. B. E. Hornby, D. L. Johnson, K. W. Winkler, and R. A. Plumb, Geophys. 54, 1274 (1989).

    Article  Google Scholar 

  4. S. Kostek, D. L. Johnson, K. W. Winkler, and B. E. Horby, Geophys. 63, 809 (1998).

    Article  Google Scholar 

  5. F. Henry, J. T. Fokkema, and C. J. de Pater, in Proceedings of the EAGE 64th Conference and Exhibition (2002), p. 143.

  6. A. V. Derov and G. A. Maksimov, Akust. Zh. 48, 331 (2002) [Acoust. Phys. 48, 284 (2002)].

    Google Scholar 

  7. A. M. Ionov, Geophys. Prospect 55, 71 (2007).

    Article  ADS  Google Scholar 

  8. W. L. Medlin and D. P. Schmitt, JPT, 239 (1994).

  9. R. W. Paige, L. R. Murray, and J. D. M. Roberts, SPE Product. Facil., 7 (1995).

  10. T. W. Patzek and A. De, J. Petrol. Sci. Eng. 25, 59 (2000).

    Article  Google Scholar 

  11. J. Groenenboom and J. Falk, Geophysics 65, 612 (2000).

    Article  ADS  Google Scholar 

  12. J. Groenenboom and D. B. van Dam, Geophysics 65, 603 (2000).

    Article  ADS  Google Scholar 

  13. A. M. Ionov and G. A. Maximov, Geophys. Int. 124, 888 (1996).

    Article  ADS  Google Scholar 

  14. A. V. Derov and G. A. Maksimov, in Proceedings of the 16th Session of Russian Acoustic Society (GEOS, Moscow, 2005), Vol. 1, pp. 324–327.

    Google Scholar 

  15. A. V. Derov and G. A. Maksimov, Tekhnol. Seismorazv. 4, 60 (2008).

    Google Scholar 

  16. P. V. Krauklis, Prikl. Mat. Mekh. 26, 1111 (1962).

    Google Scholar 

  17. V. Ferrazini and K. Aki, J. Geophys. Res. B 92, 9215 (1987).

    Article  ADS  Google Scholar 

  18. G. A. Maksimov and A. M. Ionov, Akust. Zh. 44, 510 (1998) [Acoust. Phys. 44, 437 (1998)].

    Google Scholar 

  19. A. V. Derov, G. A. Maksimov, and M. Yu. Lazar’kov, in Proceedings of the 20th Session of Russian Acoustic Society (GEOS, Moscow, 2008), Vol. 1, pp. 265–268.

    Google Scholar 

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Authors and Affiliations

  1. Andreev Acoustic Institute, ul. Shvernika 4, Moscow, 117036, Russia

    G. A. Maksimov & A. V. Derov

  2. St. Petersburg State University, St. Petersburg, Russia

    B. M. Kashtan & M. Yu. Lazarkov

Authors
  1. G. A. Maksimov
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  2. A. V. Derov
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  3. B. M. Kashtan
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  4. M. Yu. Lazarkov
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Correspondence to G. A. Maksimov.

Additional information

Original Russian Text © G.A. Maksimov, A.V. Derov, B.M. Kashtan, M.Yu. Lazarkov, 2011, published in Akusticheskii Zhurnal, 2011, Vol. 57, No. 4, pp. 521–533.

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Maksimov, G.A., Derov, A.V., Kashtan, B.M. et al. Estimation of hydro-fracture parameters by analysis of tube waves at vertical seismic profiling. Acoust. Phys. 57, 529–541 (2011). https://doi.org/10.1134/S1063771011040166

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  • DOI: https://doi.org/10.1134/S1063771011040166

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