地表动态移动变形预测函数研究

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摘要在研究国内外开采沉陷动态分析时间函数的基础上，运用概率积分法对地下开采引起地表沉陷随时间和空间的变化规律进行研究，提出动态地表移动变形的坐标–时间函数。该函数不仅比克诺特(Knothe)时间函数W(t)增加了坐标变量x，而且，还增加岩移参数(q，r，v，?，?，t0)，这些参数与概率积分法静态分析的参数相统一。研究分析起动时间t0随坐标x变化的关系式；用下沉坐标–时间函数W(x，t)与Knothe等多个典型时间函数相比较，不但克服Knothe等时间函数一阶导数、二阶导数的不完善性，能正确反映下沉、下沉速度、下沉加速度的变化规律，而且，对x求偏导数，获得动态倾斜、动态曲率、水平移动、水平变形等的坐标–时间函数。从而，建立半无限开采和有限开采条件地表移动变形动态分析的基本公式。在此基础上，结合课题进行实例验证。研究表明，常规的静态分析函数只是该地表移动变形的坐标–时间函数的一个特例；该坐标–时间函数能正确描述地表沉陷动态过程；多个既有岩移参数建立的各坐标时间函数不仅能充分反映地质采矿条件，而且可推广性强。

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关键词 ：采矿工程；概率积分；地表移动变形；坐标&ndash, 时间函数 ,

Abstract：Based on the study of time functions during dynamic analysis of mining subsidence both at home and abroad，the probability integral method is used to study the regularity that surface subsidence caused by underground mining varies with the changes of time and space；and the coordinate-time functions of dynamic surface movement and deformation are proposed. Compared to Knothe time function W(t)，the coordinate-time functions not only add a coordinate variable x，but also add several strata movement parameters(q，r，v，ω，?，t0) which are unified with the parameters used in static analysis of probability integral method. Relation formula of starting time t0 changing with coordinate variable x is studied. Compared to some typical time functions such as Knothe time function，subsidence coordinate-time function W(x，t) can overcome the imperfections of first derivative and second derivative that exist in Knothe time function. What?s more，the changing regularities of subsidence，subsidence rate，subsidence acceleration are correctly revealed. Besides，coordinate-time functions of dynamic tilt，dynamic curvature，horizontal movement，horizontal deformation，etc.. can be obtained from partial derivative calculation of x . Then，basic formulae of dynamic analysis of surface movement and deformation are established under conditions of semi-infinite mining and finite mining. Based on the above topic and analysis，practical verification combined with examples is accomplished. The results show that the conventional static analysis function is just a special case of the coordinate-time functions of surface movement and deformation；and the coordinate-time functions correctly describe the dynamic process of surface subsidence. The coordinate-time functions including several well-known strata movement parameters could fully reflect geological mining conditions and it deserves to be spread widely.

Key words： mining engineering probability integral surface movement and deformation coordinate-time function

收稿日期: 2011-03-23

引用本文:

朱广轶1，沈红霞1，王立国2. 地表动态移动变形预测函数研究[J]. 岩石力学与工程学报, 2011, 30(9): 1889-1895.
ZHU Guangyi1，SHEN Hongxia1，WANG Liguo2. STUDY OF DYNAMIC PREDICTION FUNCTION OF SURFACE MOVEMENT AND DEFORMATION. , 2011, 30(9): 1889-1895.

链接本文:

http://www.rockmech.org/CN/Y2011/V30/I9/1889

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