Theoretical study on influence of well clogging and variable injection pressure on seepage field induced by single-well recharge
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摘要: 为分析承压含水层单井回灌过程中回灌堵塞与回灌压力波动对渗流场的影响,通过引入渗透系数衰减模型和设置正弦变化的水头边界,建立了考虑回灌堵塞效应的单井变压力回灌模型,并利用Weber变换得到了模型的解析解,进而据此分析了渗透衰减与回灌压力波动对渗流场的影响。研究结果表明：①渗透系数衰减对回灌流量与承压水头抬升具有抑制作用,且该抑制作用随着衰减指数的增大及回灌时间的推移而愈加显著;②回灌压力波动对渗流场分布存在影响,且当波动幅值越大而频率越小时影响越显著;③回灌总量受波动幅值和频率的影响相对较小。提出的回灌模型可为回灌压力与回扬周期设计提供依据。Abstract: To analyze the influence of clogging and variable injection pressures on groundwater seepage field, a model for Single-Well-Recharge (SWR) in confined aquifer is established. In the model, clogging is considered by assuming an exponentially decayed permeability, where as the variable injection pressures are concerned by setting sinusoidal pressure boundary. The analytical solution for the model is obtained using the Weber transform. By performing parameter analysis based on the proposed solution, the results can be drawn as follows: (1) The permeability reduction due to clogging limits the injection rate and artesian head increment, and the limitation is more considerable as the permeability reduction index and injection time increase. (2) The variable injection pressures have certain influences on the groundwater seepage field, and the influences are more significant when the fluctuation amplitude is larger while the fluctuation frequency is smaller. (3) The influences of injection pressure fluctuation and frequency on the total groundwater injection amount are relatively small. The proposed model can provide theoretical basis for the design of recharge pressures and pump lifting cycles.
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