任意形状工作面沉陷预测的概率积分法及其应用

概率积分法是煤矿开采沉陷预测的重要方法,可适用于缓倾斜、倾斜煤层开采地表移动分布曲线符合正态分布规律的地表移动和变形计算。针对原方法对任意形状工作面存在的不足,在原有走向和倾向概率积分函数的基础上,以走向和倾向为基准划分积分函数区域,在该区域内剖分非结构化的三角形单元作为二重积分的基本单位;通过坐标旋转变换的二重积分换元法,转化为以直线为上、下限的二重积分,计算旋转后的影响半径,对新的二重积分采用复合辛普森数值积分公式,积分得出地表任意点在基本三角形开采单元下的积分下沉值;最后,通过叠加计算完成任意点、任意形状工作面概率积分法的沉陷预测计算。算法在GIS系统下实现,实例应用效果良好,可为“三下”采煤提供地表移动预测计算的支持。     

On the topography influence on subsidence due to horizontal underground mining using the influence function method

The classical influence function method is widely used in mining subsidence prediction, but its use is typically limited to predicting the subsidence associated with horizontal stratiform underground mining when the ground surface is flat. By investigating the topography influence on subsidence under simplified mining conditions, this study attempts to improve the original influence function method to take topographic variations into account. New asymmetrical influence functions are used to simulate element subsidence. Integrating this asymmetrical approach into the influence function method increases the realism of subsidence computation when compared to the numerical simulation results. The maximum subsidence value and influence angle got from field data are introduced into the improved method, then two field subsidence cases are studied and acceptable comparison results are achieved. This improved method should serve as the foundation for future work.     

厚松散层下开采地表动态移动变形规律实测及预测研究

为了掌握厚松散层覆盖地区地表在采动过程中的动态移动变形情况,以地表移动观测站实测数据为基础,获得厚松散层开采地表动态移动参数在开采过程中的变化规律,以及走向主断面方向上任意时刻、任意点的下沉速度预计公式。结果表明：当工作面推过最大下沉点170 m左右时,该点的下沉速度达到最大值,其值为22.85 mm/d;地表点最大下沉速度值及其滞后距随工作面开采距离的增大而增加,当工作面推进距离达到600 m左右后,两者增加的幅度逐渐减小,并分别达到稳定值22.00 mm/d和150 m,认为此后的采动过程是地表点下沉速度曲线以固定形状与工作面保持一定的滞后距随开采不断向前移动;参考国内松散层下开采案例,通过多元线性回归分析得到地表动态移动变形参数与地质及开采技术参数之间的关系式;最后根据动态移动参数在采动过程中的变化规律,建立了走向断面上任意时刻、任意点的下沉速度预测公式,通过预测值与实测值的对比,认为预测结果能够满足工程实践需要。     

基于Logistic增长模型的地表下沉时间函数

Knothe时间函数可预测地表下沉,但其不能反映地表下沉速度和加速度的变化规律。针对Knothe 时间函数描述的不足,提出了改进的地表下沉的时间函数——基于Logistic增长模型的时间函数。该时间函数可合理描述地表下沉发展变化的全过程, 能反映实际地表点下沉的速度和加速度的变化规律,经实测检验,证明了该时间函数的实用性和有效性。     

边坡稳定分析的自适应性局部网格加密解法

常规的有限元强度折减法在确定边坡塑性区时,不能直观地反映出塑性区的形状和滑裂面位置,计算结果精度低。在塑性区范围内进行网格局部加密,不仅使安全系数的计算精度大幅度提高,而且可求出滑裂面的形状和位置。针对求解塑性区搜索滑裂面这一具体问题,提出塑性应变界限值网格加密准则,采用自适应性网格局部加密技术求解边坡的滑裂面和稳定安全系数。数值计算结果表明,所提出的加密准则能正确地确定滑裂面的形状和位置,计算所得稳定安全系数和理论稳定安全系数仅相差0.2 %。     

Study on Deep Well Dewatering Optimization Design in Deep Foundation Pit and Engineering Application

Based on analyses of the theories of groundwater unsteady flow in deep well dewatering in the deep foundation pit,Theis equations are chosen to calculate and analyze the relationship between wa-ter level drawdown of confined aquifer and dewatering duration.In order to reduce engineering cost and diminish detrimental effect on ambient surrounding,optimization design target function based on the control of confined water drawdown and four restriction requisitions based on the control of safe water level,resistance to throwing up from the bottom of foundation pit,avoiding excessively great subsidence and unequal surface subsidence are proposed.Adeep well dewatering project in the deep foundation pit is optimally designed.The calculated results including confined water level drawdown and surface subsid-ence are in close agreement with the measured results,and the optimization design can effectively control both surface subsidence outside foundation pit and unequal subsidence as a result of dewatering.     

建筑物对浅埋隧道开挖地表沉降的影响

采用解析法研究穿越地表建筑物浅埋隧道开挖引起的地表沉降。由无建筑物时岩土体开挖引起的地表沉降公式及半无限平面在均布荷载下的相对沉陷,推导出了穿越地表建筑物浅埋隧道施工引起的地表沉降公式,并通过实例验证了此方法的可行性。采用上述方法研究了地表建筑物的重量及其与浅埋隧道位置关系对地表沉降的影响,研究结果表明：浅埋隧道开挖引起的地表沉降随建筑物重量的增大而增大;建筑物中心到隧道轴线的水平距离是对地表沉降的一个重要影响因素,超过一定范围时建筑物的存在对地表沉降的影响可以忽略不计。研究结果可为类似隧道工程提供一定参考。     

采矿引起地表下沉的模糊概率分析

根据模糊数学中的模糊概率理论,导出了二维及三维开采情况下地表下沉的模糊概率公式,为求解地表下沉问题提出了一种新方法。     

Analysis of sinkhole occurrences over abandoned mines using fuzzy reasoning: a case study

In Korea most of the old mine workings were worked with room and pillar method or sublevel caving method and today they possess great possibility of surface subsidence especially for shallow depth mines. In most of the cases, mine roadways, rooms and pillars are irregular in shape and information about the local geology is uncertain. For these reasons, it is difficult to standardize the estimating method of subsidence especially sinkhole type over abandoned mine area. This paper describes the application procedure for the fuzzy reasoning techniques to analyze the possibility of sinkhole occurrences over abandoned mines. This technique is implemented in software which can simplify the analysis procedure and present the possibility of sinkhole subsidence without having precise information about local geological/mining conditions. This technique has been applied to forecast sinkhole possibilities at Bonghwa site where a massive sinkhole has already been occurred.     

基于正态分布时间函数地表动态沉陷预测研究

为了研究地表动态沉陷规律,基于正态分布时间函数,结合地表沉陷预测公式,构建了能够进行任意点任意时刻地表动态沉陷预测的函数模型,分析曲线形态系数对时间函数和计算误差的影响,讨论正态分布时间函数的时空完备性,建立了基于时间函数的地表动态下沉计算公式。以辛置煤矿五采区开采为例,利用空间曲面拟合方法求取了地表动态沉陷预测参数,并对特征点的下沉趋势进行了预测。结果表明,地表沉陷预测时曲线形态系数δ > 2为其合理取值,理论预测相对中误差不会超过±4.55%,且随着δ的增大,预测误差逐渐减小;正态分布时间函数在地表下沉、下沉速度以及加速度方面均体现了地表沉陷时空分布的完备性。基于叠加原理的空间曲面拟合求参方法能够进行预测参数的自动求取,地表特征点下沉趋势预测最大中误差为±64 mm,相对中误差为±5.7%,理论值与实测值相吻合,基于正态分布时间函数的预测模型能够体现地表动态下沉的时空分布特征。     

基于FLAC3D和DEM数据的缓倾斜煤层开采沉陷分析

宁夏石嘴山矿区位于西部黄河流域,其煤矿采空区沉陷导致地表生态和环境问题频发,对其采煤沉陷分析将对西部黄河流域煤矿区的环境修复有一定的积极作用。为研究缓倾斜煤层采空区围岩应力与位移场演化特征,以宁夏石嘴山矿区为对象,基于FLAC3D数值模拟软件,建立缓斜煤层开采三维数值模型,计算分析采空区围岩应力、塑性区及位移变化规律,并基于两时相DEM叠加统计分析地表位移变化,与数值模拟结果进行相互验证。结果表明:地下开采引起应力重分布,采空区顶板及煤柱出现明显的应力集中现象,最大主应力呈现从煤层顶板向地表递减的变化趋势;越靠近采空区顶部的岩层垂直位移越大,随着远离采空区逐渐减少,开采完成后地表垂直位移最大值约12 m;随着采空区面积的不断增大,采空区四周及角隅处塑性区逐步延伸扩大,且以剪切破坏为主;地面沉陷盆地不对称,2个沉降中心均发生在沉陷盆地中部且偏下山方向,下山方向比上山方向影响范围更大;数值模拟计算的沉降量与两时相DEM叠加统计分析的变化量结果及趋势基本一致,研究成果可为煤炭安全开采提供参考依据,为地表沉降监测提供新方法。      

地下空间形态描述方法研究

地下工程施工、开发地下资源(包括开采地下水)都会引起地面发生沉降,导致位于地面的城市、交通线路及水体随之沉降。这种工程性沉降问题产生的根本原因在于地下出现了空间,而非层状(即不规则形状)空间环境是一种普遍存在的情况,与层状空间环境的地面沉降机理不同。当地下出现非层状空间环境时,目前还没有实用的地面沉降预测模型,否则,把非层状地下空间简化为层状情形进行处理。基于地下出现褶皱层状空间环境时的地面沉降规律,研究非层状地下空间形态的表述和处理方法。     

Analysis of surface subsidence mechanism and regularity under the influence of seism and fault

Surface subsidence with various formation mechanisms possesses varied and complex influencing factors. Thus, studying surface subsidence mechanism and regularity under different special geological conditions is important in implementing disaster prevention and reduction programs. This paper focuses on goaf surface subsidence under the influence of the interaction between seism and fault, taking the Changping Expressway surface subsidence as the case study. In the full investigation of the engineering geological conditions in research area, the graphic method and numerical simulation method FLAC3D are adopted to study surface subsidence mechanism and regularity, after which the influence of seism and fault on surface subsidence is explored. The results show that the Changping Expressway surface subsidence is caused by earthquake-induced reactivation of the old goaf. Under the influence of geological fault, the maximum surface settlement significantly increased, the location of the maximum surface subsidence became close to the fault side, and the subsidence deformation showed an apparent discontinuity near the fault.     

采空区地表建筑物基础稳定性的Fuzzy测度分析

根据工程实际,采用Fuzzy数学中的Fuzzy测度理论,视采空区地表所出现的地表下沉（地表垂直移动）这一客观现象为一模糊事件,建立了采空区地表移动变形预测分析的Fuzzy测度理论模型,并将理论分析结果与实测资料进行了对比,二者吻合。因而,利用该模型可对在采空区建设大型建筑物或构筑物的可行性及其基础稳定性进行分析评价是可行的。     

Application of a fuzzy operator to susceptibility estimations of coal mine subsidence in Taebaek City,Korea

Quantitative determination of locations vulnerable to ground subsidence at mining regions is necessary for effective prevention. In this paper, a method of constructing subsidence susceptibility maps based on fuzzy relations is proposed and tested at an abandoned underground coal mine in Korea. An advantage of fuzzy combination operators over other methods is that the operation is mathematically and logically easy to understand and its implementation to GIS software is simple and straightforward. A certainty factor analysis was used for estimating the relative weight of eight major factors influencing ground subsidence. The relative weight of each factor was then converted into a fuzzy membership value and integrated as a subsidence hazard index using fuzzy combination operators, which produced coal mine subsidence susceptibility maps. The susceptibility maps were compared with the reported ground subsidence areas, and the results showed high accuracy between our prediction and the actual subsidence. Based on the root mean square error and accuracy in terms of success rates, fuzzy γ-operator with a low γ value and fuzzy algebraic product operator, specifically, are useful for ground subsidence prediction. Comparing the results of a fuzzy γ-operator and a conventional logistic regression model, the performance of the fuzzy approach is comparative to that of a logistic regression model with improved computational. A field survey done in the area supported the method’s reliability. A combination of certainty factor analysis and fuzzy relations with a GIS is an effective method to determine locations vulnerable to coal mine subsidence.     

基于上限定理的边坡潜在破裂面确定方法与稳定性判识研究

边坡潜在破裂面的确定与稳定性判识一直是岩土工程界研究的热点问题。将边坡潜在破裂面看成是由若干段组合而成的复合破裂面,并沿各段将边坡垂直条分为多块体,在假设边坡岩土体服从摩尔-库仑屈服准则条件下,根据极限分析上限定理,分别计算各块体外功率与内能耗散,并建立边坡稳定系数的多元函数。利用数学优化方法给出边坡稳定系数的最优解,可以方便地给出边坡潜在破裂面形状及其对应的边坡稳定系数。通过算例分析并与前人研究成果比较,结果表明：理论方法是合理有效的,可以用于边坡潜在破裂面的确定与稳定性判识。     

基于关键层理论的地表下沉盆地模型初探

目前,开采沉陷的研究主要是现场观测和以概率积分法为代表的开采沉陷预测。这些方法仅是对地表沉陷稳定后的现象进行观测和推断,不涉及对采场上覆岩层整体移动规律的研究。因长壁式布置工作面开采煤层的深厚比较大时,采场上覆岩层在靠近地表处会形成明显的弯曲带。在假设此弯曲带是控制地表沉陷及沉陷盆地最终形态的离地表最近一层主关键层且地表的下沉量远远小于该岩层厚度的基础上,用关键层位置的判别方法找出离地表最近一层关键层的位置后,用弹性薄板理论的半逆解法选择了较适合地表沉陷盆地形状的挠度函数,用薄板理论建立了缓倾斜煤层和倾斜煤层开采地表沉陷盆地力学模型,并对该模型的适用范围和参数进行了讨论。该模型考虑了影响地表下沉的多种因素,比概率积分法更具有理论意义。     

A discussion on analytical and numerical modelling of the land subsidence induced by coal seam gas extraction

Coal seam gas (CSG) is an increasingly important source of natural gas all over the world. Although the influence of conventional oil and gas extraction on surface subsidence has been widely recognized and studied, few studies are carried out on the surface subsidence in coal seam gas fields and its impact on surface infrastructure and the environment. This paper discusses modelling of the surface subsidence associated with coal seam gas production by applying both analytical and numerical methods. By comparison of results from the numerical model and two analytical models, i.e. the disc-shaped reservoir model and the uniaxial compaction model, the analytical solutions cannot describe the complex process of water and gas extraction and have the limitations to predict the surface subsidence, while the numerical model can be better used in prediction of subsidence. After applying the numerical model in numerical analysis, the deformation characteristics of coupled fluid flow, and the effects of permeability change of coal seam, associated overlying and underlying layers, and depressurization rates on surface subsidence are investigated. The results demonstrate that the proposed model can simulate the production of water and gas from coal seams and the associated surface subsidence.     

煤层地下开采地表沉陷预测的边值方法

采空区上覆岩、土体对地表沉陷的耦合行为可归结为弹性理论的边值问题,由不同性状松散表土层确定的应力边界和岩、土体之间形成的位移边界构成了相应边值问题的定解条件。在已有研究成果的基础上,提出了地表下沉预测研究的边值提法,以探讨地下开采引起的地表沉陷规律。给出了采空区上覆表土层内任一点的位移和地表下沉的计算公式,确定了地表沉陷的范围,并以神东矿区大柳塔1203工作面开采引发的地表沉陷为例给出了工程实例。研究结果表明,采空区上覆岩体对地表及表土层内任一点下沉的影响取决于上部岩层破断后的结构形态;采空区上覆土体对地表下沉量的作用与土体性质及表土层厚度有关,土体对表土层下沉的影响由下而上增大,呈非线性变化,至地表达最大值;地表沉陷区域随表土层厚度的增加而增大,其影响范围远大于采空区。     

地下采矿引起的地表下沉的动态过程模型

分析了由地下采矿引起地表下沉的动态过程的Knothe时间函数模型的不足,在原Knothe时间函数中增加了一个以常数k为参数的幂指数,增加参数后的时间函数模型经理论分析符合地表点下沉的动态过程、速度变化过程和加速度变化过程;改进后的时间函数模型中参数c决定地表点下沉过程时间的长短,参数k决定地表点在时间轴上的下沉路径及达到最大速度所需的时间;用改进后的时间函数模型对某矿沉陷盆地倾向主断面上下沉量最大点的下沉过程的观测资料进行了拟合,即用经验方法确定参数c后,再用最小二乘法确定参数k。研究结果表明,该模型可较准确地拟合实测曲线。用改进后的时间函数模型结合沉陷盆地主断面的剖面函数模型,建立了主断面地表下沉曲线变化的动态过程模型,该模型可求出沉陷主断面或沉陷盆地某一点在某一时刻的下沉量、下沉速度和加速度。