pure and applied geophysics

, Volume 117, Issue 1–2, pp 75–82 | Cite as

The relationship between seismic velocity and radioactive heat production in crustal rocks: An exponential law

  • Ladislaus Rybach
General Geothermics

Abstract

In crystalline rocks seismic velocityVp and densityp increase, whereas radioactive heat productionA decreases from acidic to basic compositions. From the velocity-density systematics for crustal rocks at different pressures an empiricalA(Vp) relationship has been derived for the range 5.0–8.0 km/sec which follows the exponential law:A(Vp)=a exp (-bVp), where the numerical factorsa andb depend onin situ pressure. A graph is given by means of which the heat production distributionA(z) can be obtained for any givenVp(z) structure.

Key words

Igneous and metamorphic rocks Crustal low velocity layers Cation packing index Bulk density 

References

  1. Adams, J. A. S. andGasparini, P. Gamma-ray Spectrometry of Rocks (Elsevier, Amsterdam, 1970).Google Scholar
  2. Bateman, P. C. andEaton, G. P. (1967),Sierra Nevada, Science158, 1407–1417.Google Scholar
  3. Birch, F. (1961),The velocity of compressional waves in rocks to 10 kilobars, J. Geophys. Res.66, 2199–2224.Google Scholar
  4. Buntebarth, G. (1975), ‘Geophysikalische Untersuchungen über die Verteilung von Uran, Thorium und Kalium in der Erdkruste sowie deren Anwendung auf Temperaturberechnungen für verschiedene Krustentypen.” Diss. Univ. Clausthal.Google Scholar
  5. Fielitz, K. (1971),Elastische Wellengeschwindigkeiten in verschiedenen Gesteinen unter hohem Druck und bei Temperaturen bis zu 750°C, Z. Geophys.37, 943–956.Google Scholar
  6. Gangi, A. F. andLamping, N. E. An in situmethod of determining the pressure dependence of phasetransition temperatures in the crust, inThe Structure and Physical Properties of the Earth's Crust (ed. John G. Heacock), American Geophysical Union, Geophysical Monograph 14 (Washington, 1971), pp. 185–190.Google Scholar
  7. Landisman, M. andMueller, S. (1966),Seismic studies of the Earth's crust in continents, 2, Analysis of wave propagation in continents and adjacent shelf areas, Geophys. J.R. astr. Soc.10, 539–548.Google Scholar
  8. Lebedev, T. S., Sapoval, V. I. andKorcin, V. A.,Untersuchungen der Geschwindigkeit von elastischen Wellen in Gesteinenunter den thermodynamischen Bedingungen der tiefern Erdkruste. Veröff. Zentralinst. Phys. der Erde Nr.22, 17–28 (Potsdam, 1974).Google Scholar
  9. Makris, J.,Aufbau der Erdkruste in den Ostalpen aus Schweremessungen und die Ergebnisse der Refraktions-seismik, Hamburger Geophys. Einzelschriften15 (De Gruyter and Co, Berlin, 1971).Google Scholar
  10. Mao, N. H. (1974),Velocity-density systematics and its implications for the iron content of the mantle, J. Geophys. Res.79, 5477–5454.Google Scholar
  11. Mueller, S. andLandisman, M. (1966),Seismic studies of the earth's crust continents, 1, Evidence for a low-velocity zone in the upper part of the lithosphere, Geophys. J.R. astr. Soc.10, 525–538.Google Scholar
  12. Nafe, J. E. andDrake, C. L. (1959), in Talwani, M., Sutton, G. A. and Worzel, J. L.,A crustal section across the Puerto Rico Trench, J. Geophys. Res.64, 1545–1500.Google Scholar
  13. Press, F.,Seismic velocities, inHandbook of Physical Constants (ed. Sydney P. Clark), Geol. Soc. America Memoir 97 (Washington, 1966), pp. 197–218.Google Scholar
  14. Rybach, L.,Radiometric techniques, inModern Methods of Geochemical Analysis (ed. Richard E. Wainerdi and Ernst A. Uken), (Plenum Press, New York, 1971), pp. 271–318.Google Scholar
  15. Rybach, L. (1973a), ‘Radioactive heat production of rocks from the Swiss Alps; geophysical implications.’ 1st European Geophysical Society Meeting, Zurich (Abstract).Google Scholar
  16. Rybach, L. (1973b),Wärmeproduktionsbestimmungen an Gesteinen der Schweizer Alpen, Beitr. Geol. Schweiz, Geotechn. Ser. Liefg. 51, (Kümmerly and Frey, Bern, 1973).Google Scholar
  17. Rybach, L. (1976a),Radioactive heat production; A physical property determined by the chemistry of rocks, inThe Physics and Chemistry of Minerals and Rocks (ed. R. G. J. Strens), (Wiley and Sons, London, 1976), pp. 309–318.Google Scholar
  18. Rybach, L. (1976b),Radioactive heat production in rocks and its relation to other petrophysical parameters, Pure and Appl. Geoph.114, 309–318.Google Scholar
  19. Rybach, L. (1976c),Die Gesteinsradioaktivität und ihr Einfluss auf das Temperaturfeld in der kontinentalen Kruste, J. Geophys.42, 93–101.Google Scholar
  20. Rybach, L., Werner, D., Mueller, S. andBerset, G. (1977),Heat flow, heat production and crustal dynamics in the Central Alps, Switzerland. Tectonophysics41, 113–126.Google Scholar
  21. Shankland, T. J. (1972),Velocity-density systematics: Derivation from Debye theory and the effect of ionic size, J. Geophys. Res.77, 3750–3758.Google Scholar
  22. Smithson, S. B. andDecker, E. R. (1974),A continental crustal model and its geothermal implications, Earth Plan. Sci. Letters22, 215–225.Google Scholar
  23. Volarovich, M. P., Galdin, J. E. andLevikin, A. N. (1966),Study of the velocity of longitudinal waves in samples of extrusive and metamorphic rocks at pressures up to 20 kb, Izvest., Earth Phys. Ser., no. 3, engl. trans., 15–23.Google Scholar
  24. Volarovich, M. P., Kurskeyev, A. K., Tomashevskaya, I. C., Tuzova, I. L. andUrazayev, B. M. (1967),Relation between the longitudinal wave propagation velocity and the rock density at high hydrostatic pressures, Izvest., Earth's Phys. Ser., no. 5, engl. transl. 276–279.Google Scholar
  25. Woollard, G. P. (1975),Regional changes in gravity and their relation to crustal parameters. Bureau Gravimétrique Intern., Bull. d'Inform.36, 106–110.Google Scholar

Copyright information

© Birkhäuser Verlag 1978

Authors and Affiliations

  • Ladislaus Rybach
    • 1
  1. 1.Institute of GeophysicsETH ZurichZurichSwitzerland

Personalised recommendations