Journal of Mathematical Sciences

, Volume 132, Issue 1, pp 83–90 | Cite as

Propagation of Seismic Waves in Block Elastic-Fluid Media. III

  • L. A. Molotkov


The propagation of seismic waves in block two- and three-dimensional media is investigated. These media are composed of identical cells in which there are several fluid blocks and one elastic block. For these media, effective models, which are anisotropic fluids, are established. Formulas for the velocities of propagation in these fluids are derived and investigated. A special investigation is carried out in the cases where the elastic block occupies almost the entire cell or where the relative volume of the elastic block is very small. Bibliography: 9 titles.


Relative Volume Seismic Wave Special Investigation Identical Cell Effective Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    L. A. Molotkov, “Propagation of seismic waves in block elastic-fluid media,” Zap. Nauchn. Semin. POMI, 297, 230–253 (2003).Google Scholar
  2. 2.
    L. A. Molotkov, “Propagation of seismic waves in block elastic-fluid media,” Zap. Nauchn. Semin. POMI, 297, 254–271 (2003).Google Scholar
  3. 3.
    L. A. Molotkov, “Propagation of seismic waves in block fluid media,” Zap. Nauchn. Semin. POMI, 308, 124–146 (2004).MATHMathSciNetGoogle Scholar
  4. 4.
    M. A. Biot, “Theory of propagation of elastic waves in fluid-saturated porous solid. I. Low-frequency,” J. Acoust. Soc. Amer., 28, No.2, 168–178 (1956).MathSciNetGoogle Scholar
  5. 5.
    L. A. Molotkov, “Equivalence of periodically layered and transversely isotropic media,” Zap. Nauchn. Semin. LOMI, 89, 219–233 (1979).MATHMathSciNetGoogle Scholar
  6. 6.
    L. A. Molotkov, Investigation of Wave Propagation in Porous and Fractured Media on the Basis of Effective Models of Biot and Layered Media [in Russian], St. Petersburg (2001).Google Scholar
  7. 7.
    M. W. Lee, O. R. Hutchinson, T. S. Collett, and W. P. Dillon, “Seismic velocities for hydrate-bearing sediments using weighted equation,” J. Geoph. Res., 101, No.B9, 20.347–20.358 (1996).CrossRefGoogle Scholar
  8. 8.
    C. F. Pearson, J. Murphy, and R. Hermes, “Acoustic and resistivity measurments on rock samples containing tetrahydrofuran hydrates,” J. Geoph. Res., 91, 14.132–14.138 (1986).CrossRefGoogle Scholar
  9. 9.
    J. P. Castanga, M. L. Batle, and R. L. Eastwood, “Relationship between compressional-wave and shear-wave velocities in elastic silicate rocks,” Geophysics, 50, 571–581 (1975).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • L. A. Molotkov
    • 1
  1. 1.St. Petersburg DepartmentSteklov Mathematical InstituteSt. PetersburgRussia

Personalised recommendations