To investigate the impact of single well precipitation on nearby pipelines, a calculation method of vertical displacement of adjacent pipeline caused by single well dewatering is proposed based on the Kerr foundation model and the two-stage method. In the first stage, the effective stress principle and Dupuit assumption are used to calculate the additional stress caused by dewatering in the adjacent pipeline. In the second stage, the pipeline is regarded as an Euler-Bernoulli beam resting on the three-parameter Kerr foundation to simulate the interaction between the pipeline and the soil and deduce the vertical displacement of the pipeline. The correctness of the proposed method is verified by comparing it with the results of the Winkler foundation model and the in-situ pumping test. The influences of the elastic modulus of soil, permeability coefficient, pipeline-well spacing, and water level drop depth on the vertical displacement of the pipeline are further analyzed. The analysis results show that the Kerr foundation model adopted in this paper considers the continuity of soil deformation and has more advantages than the Winkler foundation model. Soil permeability coefficient and pipeline-well spacing have little effect on pipeline deformation. However, the soil elastic modulus and the water level drop depth have a significant effect. The decrease of soil elastic modulus and the increase of water level decrease both lead to the apparent increase of pipeline deformation and easily cause pipeline displacement to exceed the allowable value. Therefore, prevention and control measures should be taken according to the corresponding factors.