Scaling Evidences of Thermal Properties in Earth’s Crust and its Implications

  • V.P. Dimri
  • Nimisha Vedanti


Fractal behaviour of the Earth’s physical properties has been discussed briefly in chapter 1. In this chapter, thermal properties of the Earth’s crust are analyzed and the significance of the results obtained is discussed. Here we redefine the traditional heat conduction equation for computation of geotherms by incorporating fractal distribution of thermal conductivity. Further, our study suggests the fractal distribution of radiogenic heat production rate inside the Earth, against the popularly used exponential and step models, which needs to be incorporated in the heat conduction equation.


Continental Crust Heat Production Heat Conduction Equation Radiogenic Heat Thermal Conductivity Data 
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  1. Birch F, Roy RF, Decker ER (1968) Heat flow and thermal history in New York and New England. In: E-an Zen, White WS, Hadley JB, Thompson JB Jr (eds) Studies of Appalachian geology: Northern and maritime, New York, Interscience, pp 437–451Google Scholar
  2. Dimri VP (1992) Deconvolution and inverse theory. Elsevier Science Publishers, Amsterdam London New York TokyoGoogle Scholar
  3. Hurst HE, Black RP, Simaika M (1965) Long-Term Storage: An Experimental Study. Constable, LondonGoogle Scholar
  4. Lachenbruch AH (1968) Preliminary geothermal model of the Seirra Nevada. J Geophy Res 73: 6977–6989Google Scholar
  5. Lachenbruch AH (1970) Crustal temperature and heat production: implication of the linear-flow relation. J Geophy Res 75: 3291–3300Google Scholar
  6. Lachenbruch AH, Bunder CM (1971) Vertical gradient of heat production in the continental crust, some estimates from borehole data. J Geophys Res 76: 3852–3860Google Scholar
  7. Lachenbruch A H, Sass J H (1978) Models of an extending lithosphere and heat flow in the basin and range province. Geol Soc Am 152: 209–250Google Scholar
  8. Malamud BD, Turcotte DL (1999) In: Dmowska R, Saltzman B (eds) Advances in geophysics: long range persistence in geophysical time series, Academic Press, San Diego, pp 1–87Google Scholar
  9. Mandelbrot BB (1982) The Fractal Geometry of Nature. WH Freeman and Co, New YorkGoogle Scholar
  10. Mandelbrot BB, Wallis JR (1969) Robustness of the Rescaled range R/S in measurement of noncyclic long run statistical dependence. Water Resour Res 5: 967–988Google Scholar
  11. Nimisha V, Dimri VP (2003) Fractal behavior of electrical properties in oceanic and continental crust. Ind Jour Mar Sci 32: 273–278Google Scholar
  12. Nimisha V, Dimri VP (2004) Concept of fractal thermal conductivity in lithospheric temperature studies. Phys Earth Plant Int (submitted)Google Scholar
  13. Pandey OP, (1981) Terrestrial heat flow in New Zealand. PhD Thesis, Victoria Univ. Wellington New Zealand, pp 194Google Scholar
  14. Percival DB, Walden AT (1993) Spectral analysis for physical applications, multitaper and conventional univariate techniques. Cambridge University Press, UKGoogle Scholar
  15. Pribnow DFC, Winter HR (1997) Radiogenic heat production in the upper third of continental crust from KTB. Geophys Res Lett 24:349–352CrossRefGoogle Scholar
  16. Pribnow D, Fesche W, Hagedorn F (1999) Heat production and temperature to 5km depth at the HDR site in Soultz-sous-Forets. Technical report GGA, GermanyGoogle Scholar
  17. Pristley MB (1989) Spectral analysis and time series. Academic Press, LondonGoogle Scholar
  18. Robinson EA, Treitel S (1980) Geophysical signal analysis. Prentice Hall Inc, NJGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • V.P. Dimri
    • 1
  • Nimisha Vedanti
    • 1
  1. 1.National Geophysical Research InstituteHyderabadIndia

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