Small effect of water on upper-mantle rheology based on silicon self-diffusion coefficients

Abstract

Water has been thought to affect the dynamical processes in the Earth’s interior to a great extent. In particular, experimental deformation results1,2,3,4 suggest that even only a few tens of parts per million of water by weight enhances the creep rates in olivine by orders of magnitude. However, those deformation studies have limitations, such as considering only a limited range of water concentrations and very high stresses, which might affect the results. Rock deformation can also be understood as an effect of silicon self-diffusion, because the creep rates of minerals at temperatures as high as those in the Earth’s interior are limited by self-diffusion of the slowest species5,6. Here we experimentally determine the silicon self-diffusion coefficient DSi in forsterite at 8 GPa and 1,600 K to 1,800 K as a function of water content CH2O from less than 1 to about 800 parts per million of water by weight, yielding the relationship, DSi ≈ (CH2O)1/3. This exponent is strikingly lower than that obtained by deformation experiments (1.2; ref. 7). The high nominal creep rates in the deformation studies under wet conditions may be caused by excess grain boundary water. We conclude that the effect of water on upper-mantle rheology is very small. Hence, the smooth motion of the Earth’s tectonic plates cannot be caused by mineral hydration in the asthenosphere. Also, water cannot cause the viscosity minimum zone in the upper mantle. And finally, the dominant mechanism responsible for hotspot immobility cannot be water content differences between their source and surrounding regions.

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Figure 1: DSi versus CH2O at 1,600 K and 1,800 K.
Figure 2: Strain rate versus CH2O.
Figure 3: Viscosity in the upper mantle.

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Acknowledgements

We thank S. Chakraborty and R. Dohmen at Ruhr-University of Bochum for thin-film deposition and discussions about experimental methods. We also thank A. Yoneda at Okayama University for providing the single crystal, H. Keppler for FT-IR measurement, A. Audétat for ICP-MS analysis, and T. Boffa-Ballaran for X-ray diffraction analysis. We acknowledge support from the ENB (Elite Network Bavaria) programmes.

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T.K. organized the project. The samples were prepared by H.F. and D.Y. All high pressure experiments and FT-IR measurements were performed by H.F. SIMS analyses were made by H.F. and M.W. The manuscript was completed by H.F. and T.K.; all authors read and commented on the manuscript.

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Correspondence to Hongzhan Fei.

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The authors declare no competing financial interests.

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This file contains Supplementary Text and Data 1-3, additional references, Supplementary Figures 1-4 and Supplementary Tables 1-3. (PDF 495 kb)

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Fei, H., Wiedenbeck, M., Yamazaki, D. et al. Small effect of water on upper-mantle rheology based on silicon self-diffusion coefficients. Nature 498, 213–215 (2013). https://doi.org/10.1038/nature12193

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