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首页> 外文期刊>Contributions to Mineralogy and Petrology >CrystalMom: a new model for the evolution of crystal size distributions in magmas with the quadrature-based method of moments
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CrystalMom: a new model for the evolution of crystal size distributions in magmas with the quadrature-based method of moments

机译：CrystalMom：具有基于正交的时刻岩浆尺寸分布演变的新模型

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摘要

Nucleation and growth of crystals, and the resulting crystal size distribution, play a fundamental role in controlling the physical properties of magmas and consequently the dynamics of the eruptions. In the past decades, laboratory experiments demonstrated that size and shape of crystals strongly control the physical properties of magma and lava. Additionally, natural and experimental samples are usually characterized in terms of their crystal size distribution to link it with physical processes that are not directly observable, such as cooling or decompression mechanisms. In this paper, we present CrystalMoM, a new predictive model, based on the quadrature-based method of moments, developed for studying the kinetic of crystallization in volcanic systems. The quadrature-based method of moments, well established in the field of chemical engineering, represents a mesoscale modelling approach that rigorously simulates the space-time evolution of a distribution of particles, by considering its moments. The method is applied here, for the first time, for studying the equilibrium/disequilibrium crystallization in magma, modelling the temporal evolution of the moments of a crystal size distribution. The model, verified against numerical and experimental data, represents a valuable tool to infer the cooling and decompression rates from the crystal size distribution observed in natural samples.
机译：晶体的成核和生长，以及所产生的晶体尺寸分布，在控制魔法的物理性质方面发挥着基本作用，并因此起到爆发的动态。在过去的几十年中，实验室实验表明，晶体的尺寸和形状强烈控制岩浆和熔岩的物理性质。另外，天然和实验样品通常在其晶体尺寸分布方面表征以将其与不直接观察的物理过程连接，例如冷却或减压机制。本文基于研究火山系统中的结晶动力学，我们呈现了一种新的预测模型的新预测模型。基于正交的矩，在化学工程领域建立了很好的瞬间，代表了一种Messcale建模方法，其通过考虑其时刻来严格模拟粒子分布的时空演变。此处首次应用该方法，用于研究岩浆中的平衡/不平衡结晶，建模晶体尺寸分布的时刻的时间演变。验证与数值和实验数据验证的模型代表了一种有价值的工具，可以从天然样本中观察到的晶体尺寸分布中推断冷却和减压率。

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