摘要
【目的和方法】断层是煤矿隐蔽致灾因素中威胁最大的地质构造因素之一,其三维量化评价一直是个难题。针对现有量化指标无法全面反映断层形态及缺乏三维空间断层耦合分析的不足,提出了一种基于曲率分析与分形维数的断层三维复杂度计算模型。该模型利用Delaunay算法改进了传统分形维数的测量体形态,有效减少了断层在三维分形维数计算中存在的无效值,同时引入断层面曲率来修正断层参数量,从而保留了断层自身结构特征。为验证模型的有效性,选取陕西某煤矿实际揭露的断层,进行地质构造复杂程度定性评价,并对工作面、巷道历史突水点空间分布数据开展模型应用及验证。【结果和结论】对比发现,模型识别出煤矿井田三维空间内,共有75个剖分区间具有非零统计值;计算得出的断层三维分形维数、2种融合断层面曲率(高斯曲率和平均曲率)的断层三维复杂度的均值,分别为0.939 4、1.136 2、1.219 9,与单一的分形维数相比,融合曲率的复杂度指标在揭示断层走向差异及分布集中区方面表现出明显优势。将断层三维复杂度、样本点与各突水点间的距离作为2个相关性指标计算皮尔逊相关系数,结果可分为工作面及巷道突水点两类,其平均值按断层三维分形维数、融合断层面高斯曲率以及平均曲率的断层三维复杂度排序,前者为0.784 3、0.838 6以及0.907 2,后者为0.771 8、0.832 4、0.890 3。数据结果表明,断层复杂度与工作面突水点的相关性均大于其与巷道突水点的相关性,即在研究区内,断层对工作面的生产活动影响更大。同时,无论融合何种断层面曲率,相关系数均在0.77以上,即提出的断层三维复杂度与矿井水害条件有强相关关系。另一方面,结合该煤矿构造复杂程度定性评价结果为总体较低,且主要受断层影响,而该煤矿的断层复杂度在1左右,极少区域在2以上,�
[Objective and Methods]Faults are identified as one of the most threatening geological structural factors among hidden disaster-causing factors in coal mines.However,the 3D quantitative assessment of them remains challenging.Considering that existing quantitative indicators fail to fully reflect fault morphologies and there is a lack of 3D methods,this study proposed a calculational model for 3D fault complexity based on curvature analysis and fractal dimensions.This model improved the morphologies of traditional measurement volumes of fractal dimensions by employing the Delaunay tetrahedralization algorithm,thus effectively reducing the invalid values in calculating the 3D fractal dimensions of faults.Moreover,the model modified fault parameters by introducing fault plane curvatures,thereby retaining the structural characteristics of faults.To validate its effectiveness,this model was applied to the faults revealed in a coal mine in Shaanxi Province.Using this model,this study conducted a qualitative assessment of the complexity of geological structures and examined the data on the spatial distributions of the historical water inrush points in the mining face and roadways.[Results and Conclusions]Using this model,75 partitioning intervals with nonzero statistics were identified in the mine field.Calculations revealed that the average 3D fractal dimension of faults and 3D fault complexity values integrated with Gaussian and mean curvatures were 0.9394,1.1362,and 1.2199,respectively.Compared to a single fractal dimension,the fault complexity integrated with curvatures enjoyed significant advantages in revealing the differences in fault strikes and fault concentration zones.Based on the Pearson correlation coefficients calculated using the 3D fault complexity and the distance between sample points and water inrush points as two correlation indicators,water inrush points can be categorized into two types:those in the mining face and those in roadways.For water inrush points in the mining face,the average coefficient
作者
晏俊生
刘再斌
范涛
杨辉
刘文明
杜文刚
安林
刘晨光
王晓辉
YAN Junsheng;LIU Zaibin;FAN Tao;YANG Hui;LIU Wenming;DU Wengang;AN Lin;LIU Chenguang;WANG Xiaohui(CCTEG China Coal Research Institute,Beijing 100013,China;CCTEG Xi’an Transparent Geology Technology Co.,Ltd.,Xi’an 712000,China;CCTEG Xi’an Research Institute(Group)Co.,Ltd.,Xi’an 710077,China;National Key Laboratory of Intelligent Coal Mining and Rock Stratum Control,Beijing 100013,China)
出处
《煤田地质与勘探》
EI
CAS
CSCD
北大核心
2024年第12期54-63,共10页
Coal Geology & Exploration
基金
国家自然科学基金面上项目(42374176)
国家重点研发计划课题(2022YFC3005601)
陕西省自然科学基础研究计划项目(2024JC-YBMS-236)。
关键词
断层复杂度
三维量化分析
曲率分析
DELAUNAY算法
皮尔逊系数
突水点
fault complexity
3D quantitative analysis
curvature analysis
Delaunay tetrahedralization algorithm
Pearson correlation coefficient
water inrush point
