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中国科学院大学学报 ›› 2024, Vol. 41 ›› Issue (1): 50-64.DOI: 10.7523/j.ucas.2022.045

• 地质与地球科学 • 上一篇    下一篇

利用有限元热应力计算方法对热事件月震成因的探讨

张君策, 胡才博, 石耀霖   

  1. 中国科学院大学地球与行星科学学院 中国科学院计算地球动力学重点实验室, 北京 100049
  • 收稿日期:2021-10-14 修回日期:2022-04-22 发布日期:2022-04-26
  • 通讯作者: 胡才博,E-mail:hucb@ucas.ac.cn
  • 基金资助:
    国家自然科学基金(41774106,42074117)和中央高校基本科研业务费专项资金(E1E40413X2)资助

Cause of thermal event moonquakes by thermos-elastic stress finite element models

ZHANG Junce, HU Caibo, SHI Yaolin   

  1. CAS Key Laboratory of Computational Geodynamics, College of Earth and Planetary Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2021-10-14 Revised:2022-04-22 Published:2022-04-26

摘要: 在前人工作的基础上,考虑月表向内吸收的太阳光照热量和向外释放的月球热辐射热量,以及与温度、深度相关的月壤热力学参数的非线性,开发了适合研究月壤温度、变形和热应力时空演化的热弹性耦合有限元并行程序,利用4组有限元模型研究不同的月壤特征厚度对月表温度、变形和热应力时空演化的影响。计算结果表明,月表月壤温度呈现1个月球日(29.5个地球日)的周期性变化,赤道月表的温度在100~385 K之间变化,变化幅度随深度增加指数衰减,影响深度约达50 cm。温度的周期性变化引起月表垂直位移也呈现上升和下降的周期性变化,以及月表水平正应力的挤压和拉张的周期性变化。总体而言,水平应力白昼是挤压,夜晚是拉张,其中拉应力增长速率最快的时刻是18:00,拉应力最大的时刻是06:00。月壤特征厚度对温度、水平正应力的时空分布的影响较大。热应力的量级有可能达到月表岩土抗张强度,张应力增长最快和幅值最大时段与观测到的月球浅表热事件发生的早晚频度较高相吻合。

关键词: 月球, 月壤, 热弹耦合, 热事件, 热月震

Abstract: On the basis of the previous work, considering the solar heat absorbed by the lunar surface inward and the lunar thermal radiation heat released outward, as well as the nonlinearities of the thermodynamic parameters of the lunar soil related to the temperature and depth, we have developed a thermo-elastic coupled finite element parallel program suitable for the study of the temporal and spatial evolutions of the temperature, deformation, and thermal stress of the lunar soil, and have utilized the four sets of finite element models to investigate the effects of the characteristic thicknesses of the lunar soil on the temporal and spatial evolutions of the temperature, deformation and thermal stresses of the lunar surface. The computational results show that the temperature of the lunar surface varies periodically over one lunar day (29.5 Earth days), and the temperature of the equatorial lunar surface varies from 100 to 385 K, with the variation decaying exponentially with the increase of the depth, and the depth of influence reaches to about 50 cm. The temperature cyclic changes also cause the vertical displacement of the lunar surface to rise and fall, and the horizontal normal stress of the lunar surface in the form of compression and tension. In general, the horizontal stresses are compressed during the day and tensile during the night, with the fastest increase in tensile stress at 18:00 and the highest tensile stress at 06:00. The characteristic thickness of the lunar soil has a strong influence on the temporal and spatial distributions of the temperature and the horizontal positive stresses. The magnitude of thermal stresses may reach the tensile strength of the lunar surface. The fastest growth of tensile stress and the period of maximum amplitude coincide with the observed high frequency of thermal events on the lunar surface in the morning and evening.

Key words: moon, lunar soil, thermoelastic coupling, thermal event, thermal moonquake

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