融合InSAR和GA的开采沉陷预计参数反演模型研究

Parameter Inversion Model for Mining Subsidence Prediction Based on Fusion of InSAR and GA

针对基于常规合成孔径雷达差分干涉测量（differential interferometry synthetic aperture radar,D-InSAR）技术成果无法反演全部概率积分参数问题,开展了融合D-InSAR和遗传算法（genetic algorithm,GA）的概率积分参数反演方法研究。（1）依据采动区D-InSAR视线（line of sight,LOS）方向变形为下沉和南北、东西方向水平移动沿LOS方向投影的关系,基于GA理论,首次构建了融合D-InSAR和GA的概率积分法预计全参数反演模型,并编制了求参软件。模拟实验结果表明,q、tanβ、b、θ的相对误差不超过6.7%,拐点偏移距S相对误差不超过20%（参数敏感度低,对求参整体效果影响小）;求参拟合下沉误差为-5.90-6.10mm,拟合中误差约为±2.20mm,整体求参效果较好。（2）利用融合D-InSAR和GA的概率积分法预计全参数反演模型,在一定的假设条件下,对2012年3月11日9310工作面开采沉陷的动态概率积分参数进行了求取,得到q=0.172,b=0.13,tanβ=2.08,θ=88°,S1=-10m,S2=9m,S3=-85m,S4=30m,拟合误差约为-35.00-45.00mm,拟合中误差为±15.16mm,并认为S3=-85m主要为9310工作面开采导致邻近9312采空区边界的悬臂梁或砌体梁失稳＂活化＂所致。

Considering that conventional differential interferometry synthetic aperture radar（D-InSAR）techniques are impossible to calculate all the parameters of probability integral method,this paper studies the parameters inversion of probability integral method based on fusion of D-InSAR and genetic algorithm（GA）.（1）In mining area,the deformation along line of sight（LOS）direction by DInSAR is the projection of sinking,north-south and east-west horizontal movement along LOS direction.Based On GA theory,the probability integral full parameters inversion model is firstly established based on D-InSAR and GA.Moreover,the parameter calculation software is compiled.The simulation experimental results show that the relative errors of q,tanβ,b,θare not more than 6.7%,the relative error of the inflection point offset Sis not more than 20%.The fitting error is between-5.90-6.10 mm,and the fitting mean square error is within±2.20 mm.The effect of the whole parameter calculation is better.（2）Taking advantage of the probability integral full parameters inversion model based on fusion of D-InSAR and GA,under certain assumptions,we obtain the dynamic predicting parameters of mining subsidence in 9310 working face on Mar.11,2012.The results are as follows：q=0.172,b=0.13,tanβ=2.08,θ=88°,S1=-10 m,S2=9 m,S3=-85 m,S4=30 m,the fitting error is-35.00-45.00 mm,and the fitting mean square error is within ±15.16 mm.The mining of 9310 working face causes the instability of cantilever beam or masonry beam in the boundary of the adjacent 9312 goaf,thus making S3 be-85 m.The research results have significant reference value to monitoring mining deformation by D-InSAR.