Preprints
https://doi.org/10.31223/X56971
https://doi.org/10.31223/X56971
12 Dec 2023
 | 12 Dec 2023
Status: this preprint is open for discussion.

Quantifying mantle mixing through configurational Entropy

Erik van der Wiel, Cedric Thieulot, and Douwe van Hinsbergen

Abstract. Geodynamic models of mantle convection provide a powerful tool to obtain insights into the structure and composition of the Earth’s mantle that resulted from a long history of differentiating and mixing. Comparing such models with geophysical and geochemical observations is challenging as these datasets often sample entirely different temporal and spatial scales. Here, we explore the use of configurational entropy, based on tracer and compositional distribution on a global and local scale. We show means to calculate configurational entropy in a 2D annulus and find that these calculations may be used to quantitatively compare long-term geodynamic models with each other. The entropy may be used to analyze, with a single measure, the mixed state of the mantle as a whole and may also be useful to validate numerical models against local anomalies in the mantle that may be inferred from seismological or geochemical observations.

Erik van der Wiel, Cedric Thieulot, and Douwe van Hinsbergen

Status: open (extended)

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • CC1: 'Review by Nicolas Coltice', Nicolas Coltice, 13 Feb 2024 reply
  • RC1: 'Comment on egusphere-2023-2889', Anonymous Referee #1, 15 Feb 2024 reply
Erik van der Wiel, Cedric Thieulot, and Douwe van Hinsbergen
Erik van der Wiel, Cedric Thieulot, and Douwe van Hinsbergen

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Short summary
Geodynamic models of mantle convection provide a powerful tool to study the structure and composition of the Earth’s mantle. Comparing such models with other datasets is difficult. We explore the use of 'configurational entropy', which allows to quantify mixing in models. The entropy may be used to analyze the mixed state of the mantle as a whole and may also be useful to validate numerical models against anomalies in the mantle that obtained from seismology and geochemistry.