Quantifying mantle mixing through configurational entropy

IF 3.2 2区 地球科学 Q1 GEOCHEMISTRY & GEOPHYSICS Solid Earth Pub Date : 2024-07-19 DOI:10.5194/se-15-861-2024
Erik van der Wiel, Cedric Thieulot, Douwe J. J. van Hinsbergen
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Abstract

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 analyse, with a single measure, the mixed state of the mantle as a whole and may also be useful to compare numerical models with local anomalies in the mantle that may be inferred from seismological or geochemical observations.
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通过构型熵量化地幔混合情况
摘要地幔对流的地球动力学模型提供了一个强有力的工具,可用于深入了解地球地幔在长期分化和混合过程中形成的结构和组成。将这些模型与地球物理和地球化学观测数据进行比较具有挑战性,因为这些数据集通常采样完全不同的时间和空间尺度。在这里,我们根据全球和局部尺度的示踪剂和成分分布,探索了构型熵的使用。我们展示了在二维环面中计算构型熵的方法,并发现这些计算可用于定量比较长期地球动力学模型。熵可用于分析整个地幔的混合状态,也可用于将数值模型与地震学或地球化学观测推断出的地幔局部异常进行比较。
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来源期刊
Solid Earth
Solid Earth GEOCHEMISTRY & GEOPHYSICS-
CiteScore
6.90
自引率
8.80%
发文量
78
审稿时长
4.5 months
期刊介绍: Solid Earth (SE) is a not-for-profit journal that publishes multidisciplinary research on the composition, structure, dynamics of the Earth from the surface to the deep interior at all spatial and temporal scales. The journal invites contributions encompassing observational, experimental, and theoretical investigations in the form of short communications, research articles, method articles, review articles, and discussion and commentaries on all aspects of the solid Earth (for details see manuscript types). Being interdisciplinary in scope, SE covers the following disciplines: geochemistry, mineralogy, petrology, volcanology; geodesy and gravity; geodynamics: numerical and analogue modeling of geoprocesses; geoelectrics and electromagnetics; geomagnetism; geomorphology, morphotectonics, and paleoseismology; rock physics; seismics and seismology; critical zone science (Earth''s permeable near-surface layer); stratigraphy, sedimentology, and palaeontology; rock deformation, structural geology, and tectonics.
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