Phenotypic trait of particle geometries
Phenotypic trait of particle geometries
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DOI：
10.1007/s10035-022-01240-8
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发表时间：
2021-10
期刊：
影响因子：
2.4
通讯作者：
S. J. Lee;M. Shin;Chang Hoon Lee;Priya Tripathi
中科院分区：
文献类型：
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作者：
S. J. Lee;M. Shin;Chang Hoon Lee;Priya Tripathi
一个种族的人看起来不同，但由于共同的遗传起源而共享“表型特征”。矿物颗粒就像人类一样：尽管具有相同的地质起源，但它们看起来不同。那么，这些粒子是否像我们一样在几何形状上具有某种“表型特征”呢？我们如何描述粒子几何形状的表型特征？本文讨论了一个新的视角如何表型性状可以发现在颗粒的几何形状，通过量化的“变异”和“平均”的几何形状。关键思想是利用颗粒表面积与体积比（A/V）和颗粒体积（V）之间的幂律关系，揭示α和β* 方面的表型性状：从对数-对数空间A/VandVin之间的幂回归，幂值（斜率）α代表形状和大小之间的关系，而β*（通过固定α= -3而评估的幂回归的截距）表示颗粒材料中平均形状的棱角性。换句话说，α代表几何形状的“变化”，而β* 涉及颗粒材料的“平均”几何形状。此外，本研究发现，A/Vand V也可以用来表征“个人”颗粒形状的Wadell的真实球度（S）。本文还重新讨论了最初由Su等人[Transp.地质技术23：100328，2020]并发现形状指数M是S的扩展形式，提供了关于颗粒伸长的附加信息。因此，所提出的使用A/VandV的方法提供了一种统一的方法，可以在多个尺度上表征颗粒的几何形状，从颗粒材料到单个颗粒。图形摘要
People of a race appear different but share a ‘phenotypic trait’ due to a common genetic origin. Mineral particles are like humans: they appear different despite having a same geological origin. Then, do the particles have some sort of ‘phenotypic trait’ in the geometries as we do? How can we characterize the phenotypic trait of particle geometries? This paper discusses a new perspective on how the phenotypic trait can be discovered in the particle geometries by quantifying the ‘variation’ and ‘average’ of the geometry. The key idea is using the power-law relation between particle surface-area-to-volume ratio (A/V) and the particle volume (V) that uncovers the phenotypic trait in terms ofαandβ*: From the power regression betweenA/VandVin a log–log space, the power value (slope)αrepresents the relation between shape and size, whileβ*(intercept of the power regression evaluated by fixingα= -3) informs the angularity of the average shape in the granular material. In other words,αrepresents the ‘variation’ of the geometry, whileβ*is concerned with an ‘average’ geometry of a granular material. Furthermore, this study finds thatA/VandVcan also be used to characterize ‘individual’ particle shape in terms of Wadell’s true Sphericity (S). This paper also revisits theM=A/V×L/6 concept originally introduced by Su et al. [Transp. Geotech. 23: 100328, 2020] and finds the shape indexMis an extended form ofSproviding additional information about the particle elongation. Therefore, the proposed method usingA/VandVprovides a unified approach that can characterize the particle geometry at multiple scales from a granular material to single particle.Graphical abstract