灰色理论在裂隙含水层富水性评价中的应用  

Fissured aquifer water yield capacity evaluation based on fractal dimension and weighted grey relational degree theory

作　　者：许珂[1] 张维[1] 申建军[1] 赵德康[1] 李博[2] 

机构地区：[1]中国矿业大学(北京)地球科学与测绘工程学院,北京100083 [2]贵州大学喀斯特环境与地质灾害防治教育部重点实验室,贵州贵阳550000

出　　处：《辽宁工程技术大学学报（自然科学版）》2016年第8期816-820,共5页Journal of Liaoning Technical University (Natural Science)

基　　金：国家自然科学基金项目(41272276);贵州省科技厅基金项目(黔科合LH字[2014]7617)

摘　　要：为对裂隙含水层的富水性进行科学合理的评价,以马营堡井田为例,以断层分形维数表征含水层裂隙的发育程度为评价含水层富水性的一项主控因素;在分析确定其它富水性主控因素的基础上,采用加权灰色关联度评价方法,以指标关联度作为因素权重,以方案关联系数作为判断矩阵,加权灰色关联度即可表征含水层富水性强度,建立了富水性强度与地理坐标的对应关系并运用GIS生成富水性分区图.单位涌水量并未作为富水性的一项主控因素,而是作为含水层富水性的实测指标对该法的评价结果进行验证,结果表明:将断层分形研究方法与灰色关联度方法相结合运用于裂隙含水层的富水性评价具有较高的准确性和客观性,可为其它地区特别是水文地质资料较为缺乏地区的富水性评价提供理论参考.In order to evaluate fissured aquifer water yield capacity reasonably, taking Mayingbao coal mine as an example, this paper used fractal dimension to characterize the complex aquifer fissures and took it as a main controlling factor of the aquifer water yield capacity. After obtaining the other main controlling factors, a weighted grey relational degree method was put forward to evaluate the fissured aquifer water yield capacity. Taking index relational degree as the factors＇ weights, and scheme relational coefficient matrix as the decision matrix, the weighted grey relational degree of factor＇s weights and decision matrix is used to represent the aquifer water yield capacity. This method established a correspondence relationship between water yield capacity and geographical coordinates, which can be established by GIS. In this paper, the measured water yield is not included in the main controlling factors but acts as the criterion of aquifer water yield capacity to verify the evaluation result. The evaluation result is consistent with the measured water yield distribution which proved the accuracy and objectivity of the combination of fault fractal theory and weighted grey relational degree theory in fissured aquifer water yield capacity evaluation. This study provides a reference for the other area＇ water yield capacity evaluation, especially where there is lack of hydrogeological data.

关 键 词：富水性评价 灰色理论 关联系数 关联度 权重 加权灰色关联度 分形理论 断层分维值 

分 类 号：P641[天文地球—地质矿产勘探]