月球内部结构若干问题研究
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摘要
月球重力场的一个重要属性是它能够反映月球内部质量的分布；月球地形记录了月球自形成以来的演化信息。本文主要采用可以利用的最新月球重力场和地形数据,遵从先整体后局部、由大到小、由深到浅的研究思路,对月球内部结构的若干问题进行了探索：
1.在了解前人已有的关于月球内部结构研究工作的基础上,发现了不同研究者在使用相同的数据而使用不同的数据处理方法或采用相同的处理方法但利用不同的数据时所得到的月球内部结构相互不一致的问题,利用部分最新的月球物理参数,基于Lane-Emden方程,在月球内核密度取极端值的情况下给出了月球内核半径的大小和下月幔的厚度。这可以为今后出现更多的关于月球内部整体分层结构的约束值时来研究月球结构提供一定的参考。
2.为了更加深入的讨论月球内部结构,在了解月球的整体分层结构后,本文基于最新的月球重力和月球地形数据,讨论了在月球上进行重力归算的问题,并利用所得到的月球表面布格异常对月球正面部分区域的月壳厚度进行了反演,所得到结果与已有研究符合的很好,在此基础之上分析了月球均衡状态。
3.在研究月球的均衡状态时发现,月壳内的均衡状态没有地球上的Airy均衡或Pratt均衡形式那么简单。在此基础上利用力学研究中的弹性薄板理论,以地形为荷载,以月球外部的重力场作为地形响应,在频率域内,估计了月球正面几个典型区的月壳厚度和弹性厚度。所得结果可以为月球的热演化提供一定的约束和参考。
4.在研究月球的弹性均衡补偿时所得到的弹性厚度,受温度的影响比较大。为了更好的了解月球的均衡状态,以及月表地形荷载的形成机制。在选择一种月球起源说(吸积成因)后对月球内部的温度在时间和空间上分布状态进行了讨论,得到了月球在形成之后的热演化规律,并讨论了由于温度的变化而使得月球半径发生变化的量值区间。
5.在对月球弹性厚度和热状态研究的基础上,利用弹性薄板模型,对月球表面的地貌成因给出了一定的物理解释。
The lunar gravitational field can reflect the mass distribution interiors of the moon. The evolution information are recorded in the lunar terrain since it formed billion years ago. In this paper, the author make use of the latest gravity field and topographic data which can be accessible for normal user, and explore the internal structure of the moon by means of the research guideline, which is that first the overall then the local and that from deep to shallow.
1.On the basis of understanding the predecessors work about the internal structure of the moon, a common problem is found when researchers using of the same data by different processing methods or using the same approach but adopting different data, The inner structure would be inconsistencies with each other. In order to resolve this question, the author used parts of latest physical parameters of the Moon, based on the Lane-Emden equation, given the radius of the core and the thickness of lower mantle for the moon when the material density equated with the extreme values. These results can be useful and provide a reference for future research work when much more constraints appeared in studying overall hierarchical structure of the moon
2.Taking use of the latest gravity field and topographic data of the moon, then giving a discussion of how to reduce the free air gravity anomaly to the mean surface of lunar radiu, which can be used as a terrain correction when the bouguer anomaly need to be calculated on the mean surface of the moon. Finally, the author inverse the lunar crust thickness by the bouguer data for some nearside region of the moon and discussed the equilibrium state for the lunar crust.
3.The compensation state (Airy or Pratt)in the moon is not as simple and direct as it on earth. In order to studying the compensation state on the moon, the author based on the elastic flexure theory, regard the gravity as a response to the load induced by the terrain and estimate the crust thickness and elastic lithospheric thickness in the nearside of the moon for some typical regions in the frequency domain. These results can be used as new constraints for study the lunar thermal history.
4.The thermal state of the moon have dominated influence on the elastic thickness. In the purpose of understanding the equilibrium state and the mechanism of terrain formation, the author discuss the temporal and spatial distribution of the thermal state in the moon after choosing a theory about the origin of the moon, and show the law of the temperature distribution, then give the variation range for the lunar radius in different thermal state.
5.A physical mechanism was supplied by the author to explain why the terrain formed since the moon formed, which based on the flexure of the elastic lithosphere and elastic stress in the plate and the thermal state in the moon.
1.在了解前人已有的关于月球内部结构研究工作的基础上,发现了不同研究者在使用相同的数据而使用不同的数据处理方法或采用相同的处理方法但利用不同的数据时所得到的月球内部结构相互不一致的问题,利用部分最新的月球物理参数,基于Lane-Emden方程,在月球内核密度取极端值的情况下给出了月球内核半径的大小和下月幔的厚度。这可以为今后出现更多的关于月球内部整体分层结构的约束值时来研究月球结构提供一定的参考。
2.为了更加深入的讨论月球内部结构,在了解月球的整体分层结构后,本文基于最新的月球重力和月球地形数据,讨论了在月球上进行重力归算的问题,并利用所得到的月球表面布格异常对月球正面部分区域的月壳厚度进行了反演,所得到结果与已有研究符合的很好,在此基础之上分析了月球均衡状态。
3.在研究月球的均衡状态时发现,月壳内的均衡状态没有地球上的Airy均衡或Pratt均衡形式那么简单。在此基础上利用力学研究中的弹性薄板理论,以地形为荷载,以月球外部的重力场作为地形响应,在频率域内,估计了月球正面几个典型区的月壳厚度和弹性厚度。所得结果可以为月球的热演化提供一定的约束和参考。
4.在研究月球的弹性均衡补偿时所得到的弹性厚度,受温度的影响比较大。为了更好的了解月球的均衡状态,以及月表地形荷载的形成机制。在选择一种月球起源说(吸积成因)后对月球内部的温度在时间和空间上分布状态进行了讨论,得到了月球在形成之后的热演化规律,并讨论了由于温度的变化而使得月球半径发生变化的量值区间。
5.在对月球弹性厚度和热状态研究的基础上,利用弹性薄板模型,对月球表面的地貌成因给出了一定的物理解释。
The lunar gravitational field can reflect the mass distribution interiors of the moon. The evolution information are recorded in the lunar terrain since it formed billion years ago. In this paper, the author make use of the latest gravity field and topographic data which can be accessible for normal user, and explore the internal structure of the moon by means of the research guideline, which is that first the overall then the local and that from deep to shallow.
1.On the basis of understanding the predecessors work about the internal structure of the moon, a common problem is found when researchers using of the same data by different processing methods or using the same approach but adopting different data, The inner structure would be inconsistencies with each other. In order to resolve this question, the author used parts of latest physical parameters of the Moon, based on the Lane-Emden equation, given the radius of the core and the thickness of lower mantle for the moon when the material density equated with the extreme values. These results can be useful and provide a reference for future research work when much more constraints appeared in studying overall hierarchical structure of the moon
2.Taking use of the latest gravity field and topographic data of the moon, then giving a discussion of how to reduce the free air gravity anomaly to the mean surface of lunar radiu, which can be used as a terrain correction when the bouguer anomaly need to be calculated on the mean surface of the moon. Finally, the author inverse the lunar crust thickness by the bouguer data for some nearside region of the moon and discussed the equilibrium state for the lunar crust.
3.The compensation state (Airy or Pratt)in the moon is not as simple and direct as it on earth. In order to studying the compensation state on the moon, the author based on the elastic flexure theory, regard the gravity as a response to the load induced by the terrain and estimate the crust thickness and elastic lithospheric thickness in the nearside of the moon for some typical regions in the frequency domain. These results can be used as new constraints for study the lunar thermal history.
4.The thermal state of the moon have dominated influence on the elastic thickness. In the purpose of understanding the equilibrium state and the mechanism of terrain formation, the author discuss the temporal and spatial distribution of the thermal state in the moon after choosing a theory about the origin of the moon, and show the law of the temperature distribution, then give the variation range for the lunar radius in different thermal state.
5.A physical mechanism was supplied by the author to explain why the terrain formed since the moon formed, which based on the flexure of the elastic lithosphere and elastic stress in the plate and the thermal state in the moon.
引文
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