| 基于信息熵的岩溶水监测网优化:以徐州市典型水源地为例 |
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| 引用本文： | 朱常坤.基于信息熵的岩溶水监测网优化:以徐州市典型水源地为例[J].地质科技通报,2022,41(1):168-176. |
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| 作者姓名： | 朱常坤 |
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| 作者单位： | 江苏省地质调查研究院自然资源部地裂缝地质灾害重点实验室 |
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| 摘 要： | 在各级水利与自然资源部门地下水监测数据共享机制逐步完善背景下,针对日益凸显的原有监测系统中存在的监测井布局不合理问题以及岩溶含水系统具有的非均质性和各向异性特征,选取徐州市丁楼-茅村和七里沟2个典型水源地,分别采用互信息-距离(T-D)和最大信息最小冗余(MIMR)模型对研究区监测网信息冗余性和最优监测井组合进行了研究。结果显示:丁楼-茅村水源地水位监测数据离散程度、信息熵、信息传递量和信息衰减速率均大于七里沟水源地,2个水源地在ε取10-1时的水位信息有效传递距离分别为4.7,4.8 km,指示出两地相似的岩溶发育程度和水力传导性能。通过对比监测井控制范围的实际值和理论值发现2个水源地监测井之间均存在信息冗余。现有监测条件下,丁楼-茅村水源地最优监测井数为6眼,最优监测井组合为D1-D2-D4-D5-D7-D9;七里沟水源地最优监测井数量为5眼,最优组合为Q1-Q3-Q4-Q5-Q7。将优化结果与原监测网相比,2个水源地监测井数量均减少3眼,分别能提供原监测网信息总量的98.5%,94.9%,监测网控制范围分别下降0.4%,1.2%,信息冗余量分别减少49.0%,56.4%。表明优化后的监测网能够提供与原站网相当的信息量和控制范围,同时可以显著降低信息冗余度与监测成本。
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| 关 键 词： | 信息熵 岩溶水 监测网优化 互信息-距离模型 最大信息最小冗余模型 |
| 收稿时间： | 2021-10-09 |
Optimization of karst water monitoring network based on information entropy: A case study in typical groundwater source sites in Xuzhou |
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| Zhu Changkun.Optimization of karst water monitoring network based on information entropy: A case study in typical groundwater source sites in Xuzhou[J].Bulletin of Geological Science and Technology,2022,41(1):168-176. |
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| Authors: | Zhu Changkun |
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| Institution: | (Key Laboratory of Earth Fissures Geological Disaster of Ministry of Natural Resources,Geological Survey of Jiangsu Province,Nanjing 210018,China) |
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| Abstract: | In view of the unreasonable layout of monitoring wells and heterogeneity and anisotropy of the karst aquifer monitoring system, mutual information-distance (T-D) and maximum information minimum redundancy (MIMR) models can be used to study the information redundancy of the monitoring network and the optimal monitoring well combination.Dinglou-Maocun and Qiligou in Xuzhou City were selected to do the research.The results show that: the data dispersion degree, information entropy, information transfer amount and information attenuation rate in Dinglou-Maocun are all greater than those in Qiligou.When ε is set to be 10-1, the effective transmission distance of water level information is 4.7 km and 4.8 km respectively, indicating the similar karst development degree and hydraulic conductivity of the two sites.By comparing the actual value and the theoretical value of the control area of monitoring well, it can be found that information redundancy exists in both two water source sites.The optimized number of monitoring wells in Dinglou-Maocun is 6, and the corresponding combination of monitoring wells is D1-D2-D4-D5-D7-D9, while the optimized number of monitoring wells is 5 and the corresponding combination of monitoring wells is Q1-Q3-Q4-Q5-Q7 in Qiligou.Compared to the original monitoring network, three monitoring wells are reduced in both two water source sites with 98.5% and 94.9% of the total information retention, 0.4% and 1.2% of control range decrease, 49.0% and 56.4% of the information redundancy reduction, respectively.It shows that the optimized monitoring network can provide the same amount of information and control range as the original site network, and significantly reduce information redundancy and monitoring costs. |
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| Keywords: | information entropy karst water monitoring network optimization mutual information-distance model maximum information minimum redundancy model |
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