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基于弹性薄板的地表沉陷预计模型
引用本文:夏小刚,黄庆享.基于弹性薄板的地表沉陷预计模型[J].测绘工程,2008,17(6):9-12.
作者姓名:夏小刚  黄庆享
作者单位:1. 西安科技大学,基础部,陕西,西安,710054
2. 西安科技大学,能源学院,陕西,西安,710054
基金项目:国家自然科学基金  
摘    要:在分析地表沉陷基本规律的基础上,依据弹性薄板理论,建立非充分采动条件下岩层和地表沉陷预计的一类新模型,并推导出地表任意点倾斜、曲率、水平移动以及水平变形的计算公式。该模型充分考虑到地质采矿因素(煤层倾角)及煤层上方各岩层的影响,克服传统预测方法的缺陷,特别是概率积分法关于拐点反对称要求。最后,应用实例证明该方法的应用效果。

关 键 词:地表沉陷  非充分采动  弹性板  预计

Prediction model for surface subsidence by elastic stab
XIA Xiao-gang,HUANG Qing-xiang.Prediction model for surface subsidence by elastic stab[J].Engineering of Surveying and Mapping,2008,17(6):9-12.
Authors:XIA Xiao-gang  HUANG Qing-xiang
Institution:XIA Xiao-gang, HUANG Qing-xiang (1. Dept. of Basic Courses, Xi'an University of Sciences and Technology, Xi'an 710054, China; 2. School of Energy Engineer ing, Xi'an University of Science and Technology, Xi'an 710054, China)
Abstract:Based on analyzing the basic law of surface subsidence and elastic stab theory,a new prediction model for strata and surface subsidence by sub-critical extraction is established.Also,the calculation formula of the tilt and curvature of arbitrary point,horizontal movement and horizontal deformation are derived.This model fully considers the impact of geological mining factors(seam obliquity) and the strata above the coal seam,and overcomes the defect of the traditional prediction methods,especially antisymmetric request of the probability integration method to inflexion.At last,the application effect is proved by engineering example.
Keywords:surface subsidence  sub-critical extraction  elastic stab  prediction
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