高温差条件下达西定律的理论推导
Derivation of Darcy’s Law for High Temperature Situation
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摘要: 高温差条件下,地下水体的运动规律发生明显变化,不能用传统Darcy定律(地下水运动方程)来描述.这是因为高温差的存在,对水体运动产生直接和间接两方面的影响.运用经典热力学理论,通过求解液相宏观动量守恒方程,推出了高温差条件下地下水的运动方程.这对于我国地热资源的开发利用、天然高温地下热水的运动规律研究等实际问题,具有重要的应用意义.Abstract: The charact eristic of groundwater flow changed appa rently under high-temperature situations.The normal Darcy's law is not admissible at high-temperature situations.The reason is that the existence of tempera ture-gradient has direct and indirect effect on the flow of water body.In this paper,the theory of thermodynamics is used to solve the macro-balance equati on of momentum of fluid phase.Then the modified equation of motion for high-tem perature situation is presented.The modified equation can be used in practical problems,such as the usage of geothermal resources in China,the transport of groundwater with high-temperature found recently in the world.