1887
  1. Home
  2. A-Z Publications
  3. Geophysical Prospecting
  4. Volume 14, Issue 2
  5. Article
Volume 14 Number 2
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

In order to find a relation between Poisson's constant of dry sediments and the porosity, it is necessary to consider the elastic behavior of the sediment's initial state and the final state during the process of consolidation. Sand and other loose materials of more or less granular substances represent the initial state. As substitute for this zone, elastic constants of simple cubic and hexagonal packing are examined. Supposed is the adhesion for the planes of contact. Besides of Hertz's formula for the contact area of spheres, an elastic function of displacement due to a tangential force for the contact area of the spheres is used. This function has been derived. With the aid of these two. elements, the constants of the mentioned packing are calculated. Poisson's constant will then be calculated from the formula being valid for isotropic solids for three different directions of the sound. The mean value is lying at .

With the known equation of Poisson's constant of rock having a small porosity, a third‐degree polynomial is formed. This polynomial agrees well with the average values of known measurements, and therefore can serve as a guide for the calculation of Poisson's constant of water‐saturated sediments.

Loading

Article metrics loading...

/content/journals/10.1111/j.1365-2478.1966.tb01755.x
2006-04-27
2024-04-23

  • From This Site

    /content/journals/10.1111/j.1365-2478.1966.tb01755.x
    dcterms_title,dcterms_subject,pub_keyword
    -contentType:Journal -contentType:Contributor -contentType:Concept -contentType:Institution
    10
    5
Loading full text...

Full text loading...

References

  1. Baule, H., 1960, Anomale Ultraschallgeschwindigkeiten in Gesteinsbohrkernen. Geophysical Prospecting, Vol. 8, p. 149–153.
    [Google Scholar]
  2. Gardner, G. H. F., Wyllie, M. R. L. and Droschack, D. M., 1964, Effects of pressure and fluid saturation on the attenuation of elastic waves in sands. Journal of Petroleum Technology, Febr. 1964, p. 184–198.
    [Google Scholar]
  3. Gassmann, F., 1951, Elastic waves through a packing of spheres. Geophysics, Vol. 16, p. 673–685.
    [Google Scholar]
  4. Koefoed, O., Oosterveld, M. M. and Alons, I. J. G., 1962, A laboratory investigation into the elastic properties of limestones. Geophysical Prospecting, Vol. 11, p. 300–312.
    [Google Scholar]
  5. VAN Kniper, J., Ryen, W. M. L. and Koefoed, O., 1959, Laboratory determinationsof elastic properties of some limestones. Geophysical Prospecting, Vol. 7, p. 38–44.
    [Google Scholar]
  6. Mindlin, R. D., 1936, Force at a point in the interior of a semi‐infinite solid. Physics, Vol. 7, p. 195–202.
    [Google Scholar]
  7. White, J. E. and Sengbush, R. L., 1953, Velocity measurements in near‐surface formations. Geophysics, Vol. 18 (1953), p. 54–69.
    [Google Scholar]
  8. Wachholz, H., 1962, Über den Zusammenhang zwischen Schallgeschwindigkeit und Porosität bei Erdschichten. Geophysical Prospecting, Vol. 10, (1962), p. 352–402.
    [Google Scholar]
  9. Wyllie, M. R. J., Gardner, G. H. F. and Gregory, A. R, 1962, Studies of elastic wave attenuation in porous media. Geophysics, Vol. 27, (1962), p. 569–589.
    [Google Scholar]
  10. Brandt, H., A study of the speed of sound in porous granular media, s. Appl. Mech. Vol. 77, pp. 479–486, 1955.
    [Google Scholar]
  11. White, S. E., Seismic waves. Radiation, transmission, and attenuation. Mc Graw‐Hill Company, 1965.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/journals/10.1111/j.1365-2478.1966.tb01755.x
Loading
  • Article Type: Research Article

Most Cited This Month Most Cited RSS feed

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error