论文部分内容阅读
建立了越流承压含水层在循环抽水的地下水运动数学模型,用Heaviside函数性质及Laplace变换求解得该数学模型关于承压含水层水位变化的解析表达式,进而求得承压层压缩变形。通过数学软件Mahtematica对算例进行了计算和分析,结果表明:承压含水层水位恢复存在滞后性,阻越流系数B越小水位恢复的滞后性越小,并且抽水引起的承压含水层水位下降量也越小,因而引起的承压含水层弹性压缩变形也越小;承压含水层以幅值Q0的循环抽水对应的水位降-时间曲线围绕恒定抽水t1Q0/T曲线上下波动,并呈上升趋势;距抽水井越远处的水位受到抽水循环反复作用的影响越不明显,较远处循环抽水水位降深-时间曲线与t1Q0/T曲线重合。
The mathematic model of groundwater movement in recirculation pumping aquifer is set up. The Heaviside function and Laplace transform are used to solve the mathematical expression about the water level change in confined aquifer, then the compression deformation of bearing layer is obtained. The calculation and analysis of the example are carried out by the math software Mahtematica. The results show that there is a hysteresis in the water level recovery of the confined aquifer, the smaller the hysteresis resistance of the water flow recovery is, the smaller the hysteresis of water level recovery is and the water level of confined aquifer The smaller the amount of descent is, the smaller the elastic compression deformation of the confined aquifer is. The pressure-bearing aquifer with the amplitude Q0 of the cyclic pumping corresponding to the water level down-time curve around the constant pumping t1Q0 / T curve up and down, and was The more obvious the effect is, the farther the distance from pumping well is affected by the repeated action of pumping cycle, the deeper the circulating pumping water level-time curve coincides with t1Q0 / T curve.