Letter

Nature 458, 319-321 (19 March 2009) | doi:10.1038/nature07818; Received 4 November 2008; Accepted 16 January 2009

There is a Corrigendum (7 May 2009) associated with this document.

Temperature-dependent thermal diffusivity of the Earth's crust and implications for magmatism

Alan G. Whittington1, Anne M. Hofmeister2 & Peter I. Nabelek1

  1. Department of Geological Sciences, University of Missouri, Columbia, Missouri 65211, USA
  2. Department of Earth and Planetary Sciences, Washington University, St Louis, Missouri 63130, USA

Correspondence to: Alan G. Whittington1 Correspondence and requests for materials should be addressed to A.G.W. (Email: whittingtona@missouri.edu).

The thermal evolution of planetary crust and lithosphere is largely governed by the rate of heat transfer by conduction1, 2, 3. The governing physical properties are thermal diffusivity (kappa) and conductivity (k = kapparhoC P), where rho denotes density and C P denotes specific heat capacity at constant pressure. Although for crustal rocks both kappa and k decrease above ambient temperature4, 5, most thermal models of the Earth's lithosphere assume constant values for kappa (approx1 mm2 s-1) and/or k (approx3 to 5 W m-1 K-1)6, 7 owing to the large experimental uncertainties associated with conventional contact methods at high temperatures. Recent advances in laser-flash analysis8, 9 permit accurate (plusminus2 per cent) measurements on minerals and rocks to geologically relevant temperatures10. Here we provide data from laser-flash analysis for three different crustal rock types, showing that kappa strongly decreases from 1.5–2.5 mm2 s-1 at ambient conditions, approaching 0.5 mm2 s-1 at mid-crustal temperatures. The latter value is approximately half that commonly assumed, and hot middle to lower crust is therefore a much more effective thermal insulator than previously thought. Above the quartz alphabeta phase transition, crustal kappa is nearly independent of temperature, and similar to that of mantle materials11. Calculated values of k indicate that its negative dependence on temperature is smaller than that of kappa, owing to the increase of C P with increasing temperature, but k also diminishes by 50 per cent from the surface to the quartz alphabeta transition. We present models of lithospheric thermal evolution during continental collision and demonstrate that the temperature dependence of kappa and C P leads to positive feedback between strain heating in shear zones and more efficient thermal insulation, removing the requirement for unusually high radiogenic heat production to achieve crustal melting temperatures. Positive feedback between heating, increased thermal insulation and partial melting is predicted to occur in many tectonic settings, and in both the crust and the mantle, facilitating crustal reworking and planetary differentiation12.

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