Polluted groundwater pump and treat system optimization based on weighted optimization method on the area
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摘要:
井群布设是地下水修复抽出处理技术的关键环节之一。为提高抽出处理技术的修复效率，以某污染场为研究对象，建立非线性-动态-多目标的模拟-优化模型，以污染物去除率最高、修复达标时间最短、资金成本最低为优化目标，设定单井、双井、三井模式下不同的抽出流量，采用加权优化方法对井群布设方案进行对比计算。结果表明：整体而言单井模式修复效果较差，侧重资金成本时双井模式抽出方案修复效果整体较优，侧重达标时间成本时三井模式抽出方案修复效果整体较优；单井模式恒定流量抽出修复效果较优，多井模式下后期若适当降低抽出流量，可减少总抽出量，节省资金成本，井群动态管理可提高修复效率。研究验证了加权优化方法在井群优化应用中的灵活性和实用性，可为加权优化方法结合数值模拟方法在抽出处理技术的井群布设优化中应用提供参考。
Abstract:Well group layout is one of the key steps of groundwater recovery with pump and treat technology. In order to improve the remediation efficiency of pump and treat technology, a pollution field was taken as the research area, and a nonlinear-dynamic-multi-objective simulation-optimization model was established. The minimum capital cost, maximum pollutant removal rate and shortest remediation time were taken as the optimization objectives, and different extraction flows under single, double and three-well modes were set. The weighted optimization method is used to compare the well group layout scheme. The results show that: Overall, the single-well mode has poor remediation efficiency, when focusing on capital cost, the double-well pumping scheme is better overall, when focusing on the standard time, the mitsui-well pumping scheme is better overall; the single-well mode with constant flow is better than the multi-well modes, if the pumping flow is reduced appropriately in the late stage of the multi-well modes, the total amount of water pumped can be reduced and the capital cost can be saved, the dynamic management of well groups can improve the remediation efficiency. This study provides a reference for the application of weighted optimization method combined with numerical simulation method in well group layout optimization of pump and treat technology, and verifies the flexibility and practicability of weighted optimization method in well group optimization application.
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表 1 单井模式下不同井位的模拟结果
Table 1. Simulation results of different well locations in the single-well mode
井位 去除率/% 达标时间/d 总抽出量/m3 W1 78.78 440 15750 W2 76.34 320 11550 W3 78.42 410 14700 
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表 2 双井模式下不同井位的模拟结果
Table 2. Simulation results of different well locations in the double-well mode
井间距/m 去除率/% 达标时间/d 总抽出量/m³ 7.07 79.20 320 10400 14.14 78.26 290 10400 21.21 76.84 260 11600 28.28 76.76 260 12800
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表 3 三井模式下不同井位的模拟结果
Table 3. Simulation results of different well locations in the mitsui-well mode
井间距/m 去除率/% 达标时间/d 总抽出量/m3 7.07 79.46 240 10800 14.14 80.99 270 12150 21.21 81.15 310 13950
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表 4 权重赋值
Table 4. The weight assignment
决策变量 资金成本 时间成本 情景1 情景2 情景3 情景4 总资金成本 0.6 0.7 0.3 0.2 达标时间 0.3 0.2 0.6 0.7 污染物去除率 0.1 0.1 0.1 0.1
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表 S1 各抽水方案模拟结果
Table S1. Simulation results of each pumping scheme
模式 方案 井位 不同阶段下的抽水流量
/（m3·d−1）去除率
/%达标时间
/d总成本
/万元去除率得分
/分时间得分
/分成本得分
/分情景1
/分情景2
/分情景3
/分情景4
/分单井 1 W2 35 76.34 330 2.43 62.64 40.00 50.00 48.26 49.26 45.26 44.26 2 35 30 75.23 360 2.46 49.44 20.00 40.00 34.94 36.94 28.94 26.94 3 35 30 30 74.52 360 2.40 40.97 20.00 60.00 46.10 50.10 34.10 30.10 4 35 30 25 73.57 390 2.43 29.62 0.00 50.00 32.96 37.96 17.96 12.96 双井 5 W2、
W420 76.84 260 2.32 68.61 86.67 86.67 84.86 84.86 84.86 84.86 6 20 15 75.51 310 2.46 52.78 53.33 40.00 45.28 43.94 49.28 50.61 7 20 10 72.31 350 2.36 14.49 26.67 73.33 53.45 58.12 39.45 34.78 8 20 15 15 75.09 330 2.46 47.78 40.00 40.00 40.78 40.78 40.78 40.78 9 20 15 10 72.34 360 2.40 14.92 20.00 60.00 43.49 47.49 31.49 27.49 10 W2 20 15 75.43 270 2.31 51.78 80.00 90.00 83.18 84.18 80.18 79.18 W4 20 20 11 W2 20 10 73.79 280 2.28 32.16 73.33 100.0 85.22 87.88 77.22 74.55 W4 20 20 12 W2 20 5 72.93 310 2.33 21.89 53.33 83.33 68.19 71.19 59.19 56.19 W4 20 20 13 W2 20 0 72.93 340 2.32 21.86 33.33 86.67 64.19 69.52 48.19 42.85 W4 20 20 14 W2 20 15 15 75.33 280 2.32 50.64 73.33 86.67 79.06 80.40 75.06 73.73 W4 20 20 20 15 W2 20 15 10 73.75 280 2.28 31.75 73.33 100.0 85.18 87.84 77.18 74.51 W4 20 20 20 16 W2 20 15 5 73.18 300 2.34 24.93 60.00 80.00 68.49 70.49 62.49 60.49 W4 20 20 20 17 W2 20 15 0 72.93 340 2.44 21.86 33.33 46.67 40.19 41.52 36.19 34.85 W4 20 20 20 三井 18 W2、
W5、
W415 79.46 240 2.52 100.00 100.00 20.00 52.00 44.00 76.00 84.00 19 15 10 76.36 280 2.58 62.97 73.33 0.00 28.30 20.96 50.30 57.63 20 15 5 71.32 310 2.37 2.69 53.33 70.00 58.27 59.94 53.27 51.60 21 15 10 10 75.70 310 2.58 54.98 53.33 0.00 21.50 16.16 37.50 42.83 22 15 10 5 71.24 330 2.43 1.70 40.00 50.00 42.17 43.17 39.17 38.17 23 W2 15 10 75.93 240 2.40 57.83 100.0 60.00 71.78 67.78 83.78 87.78 W5 15 10 W4 15 15 24 W2 15 5 74.17 240 2.34 36.68 100.0 80.00 81.67 79.67 87.67 89.67 W5 15 10 W4 15 15 25 W2 15 0 73.31 260 2.38 26.51 86.67 66.67 68.65 66.65 74.65 76.65 W5 15 10 W4 15 15 26 W2 15 0 71.89 270 2.34 9.43 80.00 80.00 72.94 72.94 72.94 72.94 W5 15 5 W4 15 15 27 W2 15 10 10 75.68 260 2.42 54.83 86.67 53.33 63.48 60.15 73.48 76.82 W5 15 10 10 W4 15 15 15 28 W2 15 10 5 74.41 260 2.40 39.61 86.67 60.00 65.96 63.29 73.96 76.63 W5 15 10 10 W4 15 15 15 29 W2 15 10 0 73.15 260 2.38 24.57 86.67 66.67 68.46 66.46 74.46 76.46 W5 15 10 10 W4 15 15 15 三井 30 W2 15 5 0 72.96 290 2.41 22.27 66.67 56.67 56.23 55.23 59.23 60.23 W5 15 10 10 W4 15 15 15 31 W2 15 0 0 73.77 340 2.54 31.94 33.33 13.33 21.19 19.19 27.19 29.19 W5 15 10 10 W4 15 15 15 32 W2 15 10 0 71.98 260 2.36 10.56 86.67 73.33 71.06 69.72 75.06 76.39 W5 15 10 5 W4 15 15 15 33 W2 15 10 0 71.10 270 2.37 0.00 80.00 70.00 66.00 65.00 69.00 70.00 W5 15 10 0 W4 15 15 15 34 W2 15 10 0 71.37 340 2.46 3.32 33.33 40.00 34.33 35.00 32.33 31.67 W5 15 5 0 W4 15 15 15 注：抽水流量按所划分阶段依次设置，方案1为单井模式恒定抽水流量的抽水方案；方案2为单井模式抽水时间（按360 d）划分2个阶段的抽水方案（即前180 d抽水流量为35 m3/d，后降至30 m3/d）；方案3—4为单井模式抽水时间（按360 d）划分单个阶段的抽水方案；方案5为双井模式恒定抽水流量的抽水方案；方案6—9为双井模式划分不同阶段抽水流量相同的抽水方案；方案10—11为双井模式抽水流量不同时的抽水方案（如方案10，抽水时间划分2个阶段，前180 d W2、W4抽水流量为20 m3/d，后W2降至15 m3/d，W4不变）；方案18—34为三井模式下的抽水方案，设计思路同双井。
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