基于改进物元可拓模型的多年冻土路基稳定性评估  

Permafrost Roadbed Stability Evaluation Based on Improved Matter-element Extension Model

作　　者：朱旭伟 田波[2] 权磊[2] 李思李[2] 李立辉 ZHU Xu-wei;TIAN Bo;QUAN Lei;LI Si-li;LI Li-hui(Road and Traffic Engineering Key Laboratory of the Ministry of Education,Tongji University,Shanghai 201804,China;Research Institute of Highway,Ministry of Transport,Beijing 100088,China)

机构地区：[1]同济大学道路与交通工程教育部重点实验室,上海201804 [2]交通运输部公路科学研究院,北京100088

出　　处：《公路交通科技》2024年第12期77-85,共9页Journal of Highway and Transportation Research and Development

基　　金：国家自然科学基金项目(52178427);西藏自治区交通运输厅科技项目(XZJTKJ[2020]04)。

摘　　要：为准确客观地评估多年冻土公路路基稳定性,构建了以冻土特性、地质环境、气候条件和工程状况为准则层,包含12个指标的评价体系。选取7个区间的多年冻土公路路基作为样本,通过G1法和熵权法分别计算各指标的主、客观权重,并采用博弈论方法确定各评价指标的综合权重。通过物元变换构建了冻土公路路基稳定性等级的物元体系,计算各指标的关联度。将博弈论组合赋权和物元可拓模型相结合,构建了一种新型的多年冻土公路路基稳定性评估模型,对7个区间多年冻土公路路基的稳定性进行评估。结果表明:年平均地温、工程措施、路基高度、年平均气温和含冰量是影响冻土稳定性最主要的因素;基于博弈论组合赋权和物元可拓模型的多年冻土公路路基稳定性评价方法,克服了G1法赋权中主观随意性带来的偏差,同时也避免了熵权法过于依赖指标数据而忽略指标重要性的问题,这使得多年冻土路基稳定性评估中的指标权重更加科学合理;评价结果与实际路基的变形监测数据吻合度较高,验证了该模型的科学性和有效性。To accurately and objectively evaluate the permafrost highway roadbed stability,the evaluation system was established based on the criteria layers(i.e.,permafrost characteristics,geological environment,climate conditions,and engineering status),including 12 indicators.The permafrost highway roadbeds were selected as the samples from 7 sections.The objective and subjective weights of each indicator were calculated by using G1 method and entropy weight method.The comprehensive weight of each evaluation indicator was determined with the game theory.The matter-element system for permafrost highway roadbed stability level was constructed through the matter-element transformation,and the correlation degree of each indicator was calculated.By combining the game theory weighted sum and matter-element extension model,a new evaluation model for permafrost highway roadbed stability was established.The new model was used to evaluate the permafrost highway roadbed stability in 7 sections.The result indicates that the annual average ground temperature,engineering measures,roadbed height,annual average temperature,and ice content are the main factors affecting the permafrost stability.The permafrost highway roadbed stability evaluation method,based on game theory combined weight and matter-element extension model,avoids the subjectivity bias by using G1 weight method.Simultaneously,it avoids the entropy method being overly dependent on the indicator data and ignoring the indicators’importance.The indicators’weight in permafrost roadbed stability evaluation becomes more scientific and reasonable.The evaluation results match well with the deformation monitoring data of actual roadbeds,verifying the scientific validity and effectiveness of the proposed model.

关 键 词：道路工程 路基稳定性 博弈论 物元可拓模型 多年冻土 

分 类 号：U216.41[交通运输工程—道路与铁道工程]