地幔内变粘度的滞弹性流体运动的三维有限元模型 |
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引用本文: | 张淑霞 罗焕炎. 地幔内变粘度的滞弹性流体运动的三维有限元模型[J]. 地震地质, 1994, 16(1): 60-70 |
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作者姓名: | 张淑霞 罗焕炎 |
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作者单位: | 国家地震局地质研究所 |
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摘 要: | 建立了描述具有无限大Prandlt数,变粘度的滞弹性流体运动的稳态和动态三维有限元公式,其中运动方程的有限元公式是由用应力分量表示的平衡方程,再利用牛顿流体的本构关系导出的。这种处理方式,不仅能够分析流体粘度变化所起的动力学作用,而且还能够直接计算温度分布和由流体运动所引起的扰动压力。最后,论证了导出的有限元公式和程序的正确性和可靠性,并给出了具有三维流动特征的算例
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关 键 词: | 地幔对流 滞弹性可压流体 空粘度 三维有限元模型 |
THREE-DIMENSIONAL FINITE ELEMENT MODEL OF VARIABLE VISCOSITY,FLOW IN THE MANTLE |
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Abstract: | Athree-dimensional finite element model has been constructed for tbe variable viscosity,compressible Netwonian flow in the mantle.In development of the formulations,the motion e-quation starts from the momentum equation which is described in terms of stress components.The physical properties of the mantle,such as rheology ,equation of state,the thermal conduc-tivity and others are of three-dimensional heterogeneities,they can be evaluated either using theempiric formula or the laboratory experiments depending on the problem to be studied.As an ex-ample,a medel with variable viscosity and no slip at bottom is shown for the typical three-dimen-sional flow pattemrn |
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Keywords: | Mantle couvection Anelastic compressible fluid Variable viscosity Three-dimensional fiuite element model |
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