Abstract: Based on the theories of porous medium seepage and elasticity,the partial differential equations on the response of the well-water bearing system to the Earth-tide signal are derived under the condition of changing well radius. It is suggested that variation of well-radius is equivalent to the change of the effective height of the well-water column which affects the inherent vibration period of the well-water bearing system. The period characters of the response of the well-radius variation to the Earth-tide signal are analyzed. The results show that the effect of well-radius variation on the response of well-water level to the Earth-tide is very small,if the volume of water bearing system is very large and the coefficient of permeability of the system is also large.

Key words: Well water level, Earth tide, Well-water bearing system

摘要： 根据多孔介质渗流理论和弹性理论,在井孔变径条件下,得出水井含水层系统对潮汐信号响应的偏微分方程,认为井径变化相当于改变了井水柱的有效高度,从而影响了水井含水层系统的固有振动周期。分析了井孔变径对潮汐信号响应的周期特征,认为当含水层水体很大(含水层水平面积比井孔面积大得多),且含水层的渗透系数也很大的条件下,井径变化对井水位固体潮响应幅度影响很小。

关键词: 井水水位, 固体潮, 井－含水层系统