基于层次分析法的德州地面沉降易发区的可拓学划分应用

Application of Extenincs Theory for Partition of Land Subsidence Susceptible Area of Dezhou City Based on Analytic Hierarchy Process

摘要:

基于物元模型的可拓学理论分析，提出华北平原德州地面沉降易发区的可拓学划分方法。利用地面沉降易发性分级、分类标准和影响因子分析，构造出经典域物元和节域物元，应用物元和可拓集合中的关联函数，建立了易发性等级综合评判的可拓评价模型，通过基于层次分析法的可拓学评价分析，采用正方形等间距（2km×2km）剖分了135个网格，再将剖分单元转化成面元，经过等值差分，得到了地面沉降易发区划结果。计算结果显示，可拓学方法能够实现定量化、多因子评价地面沉降易发性等级问题，从而科学合理地指导地面沉降综合分区防治。

Abstract:

An evaluating method is proposed to the partition of susceptible area of Dezhou city in Huabei plain based on the matter element model as deduced from the theories of extenics. Using the susceptible degree, classification criteria and influencing factors of land subsidence, the elements in classical and sectorized field are defined, whereby an extensionevaluating model is developed for comprehensive evaluation of the classification of susceptible degree of land subsidence by the correlation function of matter elements and extension sets. The analytic hierarchy process methodology for calculating weight aggregation of evaluating factors is proposed. All region are divided into 135 grids using the square（2km×2km）, then the split unit is transformed into surface element after equivalent difference. The evaluating results are thus obtained through such an evaluation. The calculation results show that the present method is effective and applicable to forecast the classification of susceptible degree of land subsidence on multiplefactor quantitatively, which lends the support for control planning for land subsidence.