融合D-InSAR与幂指数Knothe时间函数的老采空区地表残余变形预测

Prediction of Residual Surface Deformation in Old Goafs by Combining D-InSAR Technology and Power Exponential Knothe Function Model

摘要: 煤炭老采空区在我国广泛分布，随着老城改造和城镇化发展，越来越多基础设施不可避免需建造在老采空区，而老采空区地表残余变形预测既是这些工程建设的迫切需求，也是面临的重要难题。本文以河南平顶山某拟建变电站所在老采空区场地为研究区域，融合D-InSAR技术与幂指数Knothe时间函数模型对老采空区地表残余变形进行预测。首先利用合成孔径雷达差分干涉测量(D-InSAR)技术分析得到研究区域地表2017年6月~2022年6月的累计变形及逐年沉降量。在此基础上，根据地表累计变形与逐年沉降数据，确定了幂指数Knothe时间函数模型参数取值，建立了描述研究区域老采空区地表动态沉降规律的幂指数Knothe时间函数模型，并基于实测数据对该模型及参数进行验证。最后对变电站所在场地老采空区地表剩余残余变形及未来10年的逐年沉降量开展预测，研究成果可为老采空区工程建设提供依据。

Abstract: Old goafs are widely distributed in China. With the transformation of old cities and the development of urbanization, more and more infrastructure inevitably needs to be built in old goafs. However, the prediction of residual deformation of the surface in old goafs has always been an urgent demand and important challenge for these engineering constructions. In this study, an old goaf site in Pingdingshan, Henan Province is chosen as the research area, at which a substation is proposed to be built. The residual deformation of the old goaf surface is predicted by combining the D-InSAR technology and the power exponent Knothe function. Firstly, the surface deformation data of the research area from June 2017 to June 2022 were extracted using Synthetic Aperture Radar Differential Interferometry (D-InSAR) technology. As a result, the cumulative surface deformation and annual settlement of the old goaf during this period were obtained. Based on these cumulative surface deformation and annual settlement data, the parameters of the power exponent Knothe time function model were determined. Then, a power exponent Knothe function model was established to describe the dynamic settlement law of the old goaf surface in this research area. The power exponent Knothe function model and parameters were further verified based on these measured data. Finally, the residual deformation of the old goaf surface and the annual settlement within the next 10 years of the substation site are predicted. The results in this study can provide a basis for engineering construction.