深井水位对固体潮和气压的响应

本文以体应变固体潮对深井水位影响的偏微分方程为基础，考虑到含水层与井孔之间相互渗流的边界条件，用叠加原理、冲量定理的分离变量等方法得出了方程的解。把水井含水层的参量给予一些可能的值，通过数值计算讨论了水井固体潮系数、位相滞后和含水层参数之间的关系，解释了井水位对固体潮响应的位相滞后现象。结果表明，井孔的半径、含水层的孔隙度及固体骨架的体压缩系数愈大，含水层的导水系数愈小，则水井水位的固体潮系数愈小

RESPONSE OF WATER LEVEL IN DEEP WELL TO EARTH TIDE AND BAROMETPIC PRESSURE

On the basis of the qartial differential equation of water level in a deep well that is affected by bulk strain tide and boundary conditions of mutual permeation between the aquifer and the well, the solutions nf the eguations have been obtained by the superposition principle, impulse theorem and separation of the variables. Some suitable values are given to the parameters of well aguifer. By means of numerical calculation the relations among the well tide coefficients and phase lags and parameters of the aquifer are discussed. The phase lag of response of the well water level to earth tides is interpreted. The result shows that the larger the radius of the well casing, the porosity and the bulk compressibility of solid matrix of the aquifer, and the smaller the permeability of it, the smaller is the tidal coefficient of well water level; while the greater is the phase lag for well water level to response to earth tide. The response of the well level to the tide with longer periods is better than that to the shorter-period tide. We have also presented barometric efficiency and phase lag of response of water level to dynamic process of barometric pressure. The relationship between barometric efficiency, phase lag and other parameters of well-aquifer system is discussed. It is pointed out that the aquifer is less sensitiv to stress and strain, when the well is with bigger barometric efficiency. The relationship between barometric efficiency and tidal coefficient of the well water level is also discussed.