使用元胞自动机动态重构核幔边界小尺度地形

张勇刚, 王正涛

张勇刚, 王正涛. 使用元胞自动机动态重构核幔边界小尺度地形[J]. 武汉大学学报 ( 信息科学版). DOI: 10.13203/j.whugis20240044
引用本文: 张勇刚, 王正涛. 使用元胞自动机动态重构核幔边界小尺度地形[J]. 武汉大学学报 ( 信息科学版). DOI: 10.13203/j.whugis20240044
ZHANG Yonggang, WANG Zhengtao. Research on the Dynamic Evolution on a Small-Scale Topography of the Core-Mantle Boundary Based on Cellular Automata[J]. Geomatics and Information Science of Wuhan University. DOI: 10.13203/j.whugis20240044
Citation: ZHANG Yonggang, WANG Zhengtao. Research on the Dynamic Evolution on a Small-Scale Topography of the Core-Mantle Boundary Based on Cellular Automata[J]. Geomatics and Information Science of Wuhan University. DOI: 10.13203/j.whugis20240044

使用元胞自动机动态重构核幔边界小尺度地形

基金项目: 

国家自然科学基金(42274003,41974007,41774019)。

详细信息
    作者简介:

    张勇刚,博士,主要从事大地测量学研究。zhangyonggang20@whu.edu.cn

    通讯作者:

    王正涛,博士生导师,教授。ztwang@whu.edu.cn

Research on the Dynamic Evolution on a Small-Scale Topography of the Core-Mantle Boundary Based on Cellular Automata

  • 摘要: 本文使用元胞自动机模型重构核幔边界(CMB,core-mantle boundary)处的饱和流体层厚度与地形粗糙度,旨在为研究核幔边界地形提供小尺度信息。模型演化的动力学过程基于核幔边界的物理性质抽象为一组没有记忆性的平稳随机过程。在模型二维网格中,元胞尺寸与地幔颗粒统一,并处于地幔硅酸盐氧化物、轻元素饱和的核心流体和不饱和核心流体三种状态之一。不同元胞状态的转变通过表征核幔边界处溶解、结晶和扩散物理过程的速率参数控制。模型演化至稳态后,核幔边界在元胞单元的尺寸上产生了小尺度地形变化,几十厘米厚的饱和流体层出现在核幔边界的分界处。研究表明,随着液态外核中饱和轻质元素质量分数与实际轻质元素质量分数相差增大,溶解和结晶的动力学过程更快,饱和流体边界层的厚度逐渐增加,并且随时间的振荡更加明显;上边界和下边界的粗糙度也有相似的特征,随着饱和轻质元素质量分数与实际轻质元素质量分数相差增大,上下边界的粗糙度增大且随时间的振荡更明显,反之,两者更接近时,上下边界粗糙度具有较小且较稳定的数值。实验结果可为研究核幔边界的小尺度信息以及模拟其动力学演化过程提供了新的实验思路。
    Abstract: Objectives: This article uses a cellular automaton model to simulate the thickness of the saturated fluid layer and the roughness of the core mantle boundary, aiming to provide small-scale information for studying the undulations of the core mantle boundary. Methods: The dynamic process of model evolution is abstracted as a set of stationary stochastic processes without memory based on the physical properties of the core mantle boundary. In the two-dimensional grid of the model, the cell size is consistent with the mantle particles and is in one of three states: mantle solid, saturated core fluid with light elements, and unsaturated core fluid with light elements. The transition of different cellular states is controlled by rate parameters that characterize the physical processes of dissolution, crystallization, and diffusion at the nuclear mantle boundary. Results: After the model evolved to a steady state, small-scale topographic changes occurred at the size of the cell units at the core mantle boundary, with a saturated fluid layer several tens of centimeters thick appearing at the boundary between the core and mantle boundaries. Conclusions: Research has shown that as the difference between the mass fraction of saturated light elements in the liquid outer core and the actual mass fraction of light elements increases, the dynamic processes of dissolution and crystallization become faster, and the thickness of the saturated fluid boundary layer gradually increases, with more pronounced oscillations over time; The roughness of the upper and lower boundaries also has similar characteristics. As the difference between the mass fraction of saturated light elements in the liquid outer core and the actual mass fraction of light elements increases, the roughness of the upper and lower boundaries increases and oscillates more significantly over time. Conversely, when the two are closer, the roughness of the upper and lower boundaries has a smaller and more stable value. The experimental results are consistent with the simulation calculation results of relevant scholars, which provide new experimental ideas for studying small-scale information of the core-mantle boundary and simulating its dynamic evolution process.
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出版历程
  • 收稿日期:  2024-11-04

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