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Entropy-information Perspective to Radiogenic Heat Distribution in Continental Crust : Volume 20, Issue 3 (26/06/2013)

By Singh, R. N.

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Book Id: WPLBN0003989396
Format Type: PDF Article :
File Size: Pages 6
Reproduction Date: 2015

Title: Entropy-information Perspective to Radiogenic Heat Distribution in Continental Crust : Volume 20, Issue 3 (26/06/2013)  
Author: Singh, R. N.
Volume: Vol. 20, Issue 3
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Manglik, A., & Singh, R. N. (2013). Entropy-information Perspective to Radiogenic Heat Distribution in Continental Crust : Volume 20, Issue 3 (26/06/2013). Retrieved from

Description: CSIR-National Geophysical Research Institute, Uppal Road, Hyderabad 500007, India. Depth distribution of radiogenic heat sources in continental crust is an important parameter that controls its thermal structure as well as the mantle heat flow at the base of continental lithosphere. Various models for the depth distribution of radiogenic heat sources have been proposed. Starting from constant and exponential models based on linear heat flow–heat generation relationship the present-day layered models integrate crustal structure and laboratory measurements of radiogenic heat sources in various exposed rocks representing crustal composition. In the present work, an extended entropy theory formalism is used for estimation of radiogenic heat sources distribution in continental crust based on principle of maximum entropy (POME). The extended entropy principle yields a constant heat generation model if only a constraint given by total radiogenic heat in the crust is used and an exponential form of radiogenic heat sources distribution if an additional constraint in the form of a second moment is used in the minimization of entropy.

Entropy-information perspective to radiogenic heat distribution in continental crust

Albarede, F.: The heat flow/heat generation relationship: An interaction model of fluids with cooling intrusions, Earth Planet. Sci. Lett., 27, 73–78, 1975.; Ashwal, L. D., Morgan, P., Kelly, S. A., and Preicival, G. A.: Heat production in an Archean crustal profile and implications for heat flow and mobilization of heat producing elements, Earth Planet. Sci. Lett., 85, 439–450, 1987.; Bodri, L. and Cermák, V.: Heat production in the continental lithosphere, part II: variational approach, Tectonophysics, 225, 29–34, 1993.; Birch, F., Roy, R. F., and Decker, E. R.: Heat flow and thermal history in New York and New England, in: Studies of Appalachian Geology: Northern and Maritime, edited by: Zen, E-An., White, W. S., Hadley, J. B., and Thompson Jr., J. B., Interscience, New York, 437–451, 1968.; Blackwell, D. D.: The thermal structure of the continental crust, in: The structure and physical properties of the earth's crust, edited by: Heacock, J. G., Geophys. Monograph 14, 169–184, 1971.; Buntebarth, G.: Distribution of uranium in intrusive bodies due to combined migration and diffusion, Earth Planet. Sci. Lett., 32, 84–90, 1976.; Cermak, V. and Bodri, L.: Heat production in the continental crust, part I: data converted from seismic velocities and their attempted interpretation, Tectonophysics, 225, 15–28, 1993.; Drury, M. J.: Heat flow and heat generation in the Churchill Province of the Canadian Shield, and their paleotectonic significance, Tectonophysics, 115, 25–44, 1985.; Jaynes, E. T.: Information theory and statistical mechanics, Phys. Rev., 106, 620–630, 1957.; Kapur, J. N. and Kesavan, H. K.: Entropy optimization principles with applications, Academic Press, 408 pp., 1992.; Korenaga, J.: Energetics of mantle convection and the fate of fossil heat, Geophys. Res. Lett., 30, 1437, doi:10.1029/2003GL016982, 2003.; Korenaga, J.: Urey ratio and the structure and evolution of Earth's mantle, Rev. Geophys., 46, 1–32, doi:10.1029/2007RG000241, 2008.; Lachenbruch, A. H.: Preliminary Geothermal Model of the Sierra Nevada, J. Geophys. Res., 73, 6977–6989, doi:10.1029/JB073i022p06977, 1968.; Lachenbruch, A. H.: Crustal temperature and heat production: Implication of the linear heat flow relation, J. Geophys. Res., 75, 3291–3300, 1970.; Lachenbruch, A. H.: Comment on A reinterpretation of the linear heat flow and heat production relationship for the exponential model of the heat production in the crust by R. N. Singh and J. G. Negi, Geophy. J. Roy. Astron. Soc., 63, 791–795, 1980.; Manglik, A.: Mantle heat flow and thermal structure of the northern block of Southern Granulite Terrain, India, J. Geodynamics, 41, 510–519, 2006.; Nicolaysen, L. O., Hart, R. J., and Gale, N. H.: The Vredefort radioelement profile extended to supracrustal strata at Carletonville, with implications for continental heat flow, J. Geophys. Res., 86, 10653–10661, 1981.; Pollack, H. and Chapman, D.: On the regional variation of heat flow, geotherms, and lithospheric thickness, Tectonophysics, 38, 279–296, 1977.; Roy, R. F., Blackwell, D. D., and Birch, F.: Heat generation of plutonic rocks and continental heat flow provinces, Earth. Planet. Sci. Lett., 5, 1–12, 1968.; Roy, S., Ray, L., Bhattacharya, A., and Sirnivasan, R.: Heat flow and crustal thermal structure in the Late Archaean Clospet granite batholith, south India, Int. J. Earth Sci., 97, 245–256, 2008.; Singh, R. N.: On the application of the pontryagin's maximum principle for identification of the radiogenic heat distribution in the Earth's interior, Int. J. Eng. Sci., 19, 1601–1604, 1981.; Singh, R. N. and Manglik, A.: Identification of radiogenic heat source distribution in the crust: A variational approach, Sadhana, 25, 111–118, 2000.; Singh, R. N. and Negi, J. G.: A reinterpretation of the linear heat flow


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