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在高精度动态大地测量时，为考虑地下水单井排放对台站坐标的影响，需精细研究不同水流系统和地层模型下相应的定量计算问题．本文将地下水单井排放诱发地表位移的一般公式与Muman理论结合起来，导出了适用于各向异性和滞后反应的无压含水层完整井非稳定流单井排放诱发的地表位移的解析表达式，以20个结点的Hermite求积公式和15个结点的Gauss－laguerre求积公式，编制了相应的计算程序，给出了模拟算例．本文的研究在理论上比基于Boulton理论的相应研究更合理，在实践上此方案是可行的．
In high-precision dynamic geodesy, in order to consider the impact of single-well groundwater discharge on the coordinates of stations, the corresponding quantitative calculation problems under different water flow system and formation models need to be carefully studied. In this paper, we combine the general formula of surface displacement induced by single well discharge with Muman theory and derive the analytic expression of surface displacement induced by single-well discharge of unsteady flow in a complete well of unpressurized aquifer, which is suitable for anisotropic and hysteretic reactions. Based on the Hermite quadrature formula of 20 nodes and the Gauss-laguerre quadrature formula of 15 nodes, a corresponding calculation program is compiled and a simulation example is given. The research in this paper is more reasonable in theory than the corresponding research based on Boulton theory, which is feasible in practice.