冲积平原土体分层客观化: 一种主客观融合的加权K-means方法

    Objectivization of soil stratification in alluvial plain: A hybrid subjective-objective weighted K-means approach

    • 摘要: 土体分层是工程地质勘察的关键。冲积平原地区沉积环境复杂、层位连续性差且过渡带发育,不同工程师基于经验可能做出同样符合规范但结论不一的合理判断,导致分层结果存在主观歧义性。为此, 使用一种基于混合赋权策略的加权K-means聚类方法,旨在实现分层过程的客观化与决策依据的定量化。以黄河下游某平原水库勘察数据为基础,从18项土工试验参数中筛选出干密度ρd、液限wL、塑限wp、平均粒径d50、内摩擦角φ、黏聚力c、压缩系数a1-2及样品高程(sample elevation, SE)8项独立特征指标。数据经KMO-Bartlett适用性检验和Z-score标准化后,采用层次分析法、专家调查法与主成分分析相结合的混合赋权策略,并通过敏感性分析确定了最优主客观权重配比(6∶4)。在此基础上构建加权欧氏距离聚类模型,结合肘部法则确定场区最优地质分层数K=6。验证结果表明: 该方法的分层结果与专家综合判定高度一致(Kappa系数=0.836),并能精细地识别层位过渡带(准确率达86.7%),证明了混合赋权策略的有效性。研究为冲积平原区土体分层提供了一种数据驱动、可复现的客观决策辅助工具,可为分层方案标准化提供技术支撑。

       

      Abstract: Soil stratification is a critical foundation in engineering geological investigation. The alluvial plain was characterized by complex sedimentary environment, poor stratum continuity and well-developed transition zones. Different engineers may draw reasonable judgments that comply with specifications yet yield divergent conclusions based on experience, which would introduce subjective ambiguity in stratification results. A weighted K-means clustering method incorporating a hybrid weighting strategy was proposed to objectivize the stratification process and quantify decision-making. Based on the survey data from a plain reservoir in the lower Yellow River, the authors selected 8 independent feature indicators from 18 geotechnical test parameters, that is dry density (ρd), liquid limit (wL), plastic limit (wp), mean particle size (d50), internal friction angle (φ), cohesion (c), compression coefficient (a1-2), and sampling elevation (SE). After KMO-Bartlett suitability verification and Z-score standardization, a hybrid weighting strategy integrating the Analytic Hierarchy Process (AHP), expert survey, and Principal Component Analysis (PCA) was employed. The optimal subjective-objective weight ratio (6∶4) was determined through sensitivity analysis. A weighted Euclidean distance clustering model was subsequently constructed, and the optimal number of strata (K=6) were identified using the elbow method. Validation results demonstrated that the stratification results by this method exhibited strong agreement with comprehensive expert judgments (Kappa=0.836), and it could achieve fine identification of stratigraphic transition zones (86.7% accuracy), confirming the effectiveness of the hybrid weighting strategy. This research provided a data-driven, reproducible, and objective decision-support tool for soil stratification in alluvial plains, offering technical support for standardizing stratification schemes.

       

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