摘要
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、冲量定理和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,而水位对固体潮的响应的位相滞后愈大。井水对长周期的潮汐响应比对短周期更好。我们也给出了水位对动态过程气压响应的气压效率和位相滞后,讨论了气压效率和位相滞后与水井含水层系统各参数的关系。指出气压效率越大的井,其含水层对应力应变的敏感程度越差。讨论了井水位气压系数与固体潮系数之间的关系。
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.
出处
《地震研究》
CSCD
北大核心
1993年第4期431-439,共9页
Journal of Seismological Research
关键词
固体潮
气压
井水位
渗流
位相滞后
Earth tide, Barometric pressure, Well water level, permeation, Phase lag.
