pure and applied geophysics

, Volume 109, Issue 1, pp 1743–1751 | Cite as

Source function of stress waves of a spherical explosive source

  • Vladimír Schenk


The source functions of the stress wave patterns at an elastic source of these waves are analysed. The comparison of the properties of the functions with the stress wave records obtained earlier showed that their parameters do not satisfy, to a greater or lesser extent, the stress wave patterns in the neighbourhood of explosive sources. For this reason a new source function (1) was defined, which fully approximates the observed stress wave patterns in gravel sandy soil. The coefficientsP 0, α, β, ω and δ were experimentally determined as functions of the distance from the source, its size and the radius of the elastic source in the medium considered. The properties of source function (1) are demonstrated on an example.


Seismic Wave Stress Wave Source Function Spherical Cavity Explosive Source 
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.


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  1. [1]
    C. R. Boardman, D. D. Rab andR. D. McArthur,Responses of four rock mediums to contained nuclear explosion, J. Geoph. Res.69 (1964), 3457.CrossRefGoogle Scholar
  2. [2]
    G. H. Higgins andT. R. Butkovich,Effect of Water Content, Yield, Medium, and Depth of Burst on Cavity Radii, UCRL-50203 Lawrence Radiation Lab., Livermore, 1967.Google Scholar
  3. [3]
    V. Schenk,The predominant frequency of stress waves in non-elastic zone near an explosive source, Geoph. J. Roy. astr. Soc.22 (1971), 347.Google Scholar
  4. [4]
    V. Schenk,Stress Waves Produced by a Spherical Explosive Source in Gravel Sandy Soil, Travaux Inst. Géophys. Acad. Tchécosl. Sci. No. 326; Geofysikální sborník 1970; Academia, Praha 1972, 257.Google Scholar
  5. [5]
    G. Nishimura,On the elastic waves due to pressure variation on the inner surface of a spherical cavity in an elastic solia, Bull. Earthq. Res. Inst.15 (1937), 614.Google Scholar
  6. [6]
    K. Sezawa andK. Kanai,Transmission of arbitrary elastic waves from a spherical source, solved with operational calculus, Bull. Earthq. Res. Inst.19 (1941), 151 and 417;20 (1942), 1.Google Scholar
  7. [7]
    J. A. Sharpe,The production of elastic waves by explosion pressures, Geophysics7 (1942), 144 and 311.CrossRefGoogle Scholar
  8. [8]
    H. L. Selberg,Transient compression waves from spherical and cylindrical cavities, Arkiv för Fysik5 (1952), 97.Google Scholar
  9. [9]
    P. F. Sabodash,O rasprostraneniy sphericheskikh voln v uprugo-plasticheskoy srede, Izv. AN SSSR—Fiz. Zemli (1966), No. 4, 25.Google Scholar
  10. [10]
    A. V. Fadeev,Formirovanie i rasprostranenie vzryvnykh voln napryazheniy v gornykh porodakh, Fiz. goreniya i vzryva4 (1968), 254.Google Scholar
  11. [11]
    M. L. Ghosh,On the propagation of spherical waves due to large underground explosion, Pure Appl. Geophys.72 (1969), 22.CrossRefGoogle Scholar
  12. [12]
    F. G. Blake,Spherical wave propagation in solid media, J. Acoust. Soc. Amer.24 (1952), 211.CrossRefGoogle Scholar
  13. [13]
    M. A. Mikulinskiy, P. S. Mironov, A. G. Sisin andG. V. Kuznetzov,Analiticheskie issledovaniya parametrov seismovzryvnykh voln v grunte v blizhayshey zone vzryva, Tr. V. Sessii uchen. sov. po narodn.-khozyaystv. ispol’z. vzryva, AN Kirg. SSR, Ilim, Frunze (1965), 308.Google Scholar
  14. [14]
    I. I. Gurvich,Funkciya vozbuzhdeniya vzryvnogo sphericheskogo izluchatelya, Izv. AN SSSR—Fiz. Zemli (1966), No. 4, 15.Google Scholar
  15. [15]
    J. W. Berg, Jr. andG. E. Papageorge,Elastic displacement of primary waves from explosive sources, Bull. Seism. Soc. Amer.54 (1964), 947.Google Scholar
  16. [16]
    W. I. Duvall,Strain-wave shapes in rock near explosions, Geophysics18 (1953), 310.CrossRefGoogle Scholar
  17. [17]
    J. Vaněk,A contribution to the theory of elastic waves produced by shock, Czech. J. Phys.3 (1953), 97.CrossRefGoogle Scholar
  18. [18]
    V. Schenk,Stress wave patterns and the size of the non-elastic zones of an explosive source, Pure Appl. Geophys.88 (1971), 111.CrossRefGoogle Scholar
  19. [19]
    I. I. Gurvich,K teorii sphericheskogo izluchatelya seismicheskikh voln, Izv. AN SSSR—Fiz. Zemli (1965), No. 10, 45.Google Scholar
  20. [20]
    M. L. Meyer,On spherical near fields and far fields in elastic and visco-elastic solids, J. Mech. Phys. Solids12 (1964), 77.CrossRefGoogle Scholar
  21. [21]
    A. M. Starfield,Strain Wave Theory in Rock Blasting, Chapter 23, The Eighth Rock Mechanics Symposium, Univ. of Minnesota, 1966, 538 pp.Google Scholar
  22. [22]
    20-Ton HE Cratering Experiments in Desert Alluvium, Project STAGEOCOACH, SC-4596(RR), Sandia Labs., Albuquerque, 1962.Google Scholar
  23. [23]
    20-Ton and 1/2-Ton High Explosive Cratering Experiments in Basalt Rock, Project BUCKBOARD, SC-4675(RR), Sandia Labs., Albuquerque, 1962.Google Scholar
  24. [24]
    T. C. Atchison andJ. M. Pugliese,Comparative Studies of Explosives in Granite: Second Series of Tests, U.S. Bureau of Mines RI 6434 (1964).Google Scholar
  25. [25]
    W. I. Duvall andJ. M. Pugliese,Comparison Between End and Axial Methods of Detonating an Explosive in Granite, U.S. Bureau of Mines RI 6700 (1965).Google Scholar
  26. [26]
    A. M. Starfield andJ. M. Pugliese,Compression waves generated in rock by cylindrical explosive charges: a comparison between a computer model and field measurements, Internat. J. Rock Mech. and Mining Sci.5 (1968), 65.CrossRefGoogle Scholar
  27. [27]
    V. Schenk,Piezoelectric Transducer for Measuring Stress Waves from an Explosive Source, Travaux Inst. Géophys. Acad. Tchécosl. Sci. No. 327; Geofysikální sborník 1970; Academia, Praha 1972, 295.Google Scholar

Copyright information

© Birkhäuser-Verlag 1973

Authors and Affiliations

  • Vladimír Schenk
    • 1
  1. 1.Geophysical Institute of the Czechosl. Acad. Sci.Prague 4-SpořilovCzechoslovakia

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