考虑节理几何特征的地表沉陷预计方法

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1、第31卷第4期采矿与安全工程学报Vol.31No.42014年07月JournalofMining&SafetyEngineeringJuly20141文章编号：1673-3363-(2014)04-0620-04考虑节理几何特征的地表沉陷预计方法袁长丰，袁子晋，刘世波，李国龙，李亮，于广明(青岛理工大学土木工程学院，山东青岛266033)摘要相似材料模拟试验结果表明，地下煤炭开采引起上覆节理岩体沉陷出现偏态特征。通过建立考虑节理倾角、迹长和迹宽的地质数学模型，运用随机介质理论，推导了地下煤炭开采引起上覆节理岩体沉陷的概率分布函数，认为单元岩块开采引起的地表沉陷概率分布符合

2、n重Bernoulli试验概率分布规律；当n≥10时，采用Poisson分布来代替n重Bernoulli试验概率分布规律；考虑到地表沉降的连续性，采用Poisson分布实数域拓展后的Gamma分布代替Poisson分布，提出了考虑节理几何特征的上覆节理岩体沉陷预计方程。通过该模型计算的地表沉陷预计结果与相似材料模拟试验监测结果相比较，该模型能较好地预计地下煤炭开采引起上覆单组节理岩体沉陷，为开采沉陷预计和岩层移动监测提供了技术参考。关键词煤炭开采；节理岩体；地表沉陷；偏态；Gamma分布中图分类号TD73文献标志码AThepredictionmethodforsurface

3、subsidenceconsideringthegeometricalcharacteristicsofjointsYUANChangfeng，YUANZijin，LIUShibo，LIGuolong，LILiang，YUGuangming(CivilEngineeringDepartment，QingdaoTechnologicalUniversity，Qingdao，Shandong266033，China)AbstractThesimilarmaterialsimulationtestresultsshowthattheoverlyingjointrockmasssu

4、bsi-dencecausedbyundergroundcoalminingappearsskewnesscharacteristics.Thegeologicalandmathe-maticalmodelconsideringthejointangle,tracelengthandthetracewidthisestablishedandtheprob-abilitydistributionfunctionoftheoverlyingjointrockmasssubsidencecausedbytheundergroundcoalminingisdeducedbyusin

5、gtherandommediumtheory.Atthesametime,theprobabilitydistributionofsurfacesubsidencecausedbymassminingisassumedtobeinaccordancewiththen-Bernoullitrialdis-tribution.Then-BernoullitrialdistributionisequivalenttoPoissondistributionwhennisequaltoorlargerthanten.Theoverlyingjointrockmasspredictio

6、nequationsconsideringthecontinuityofsurfacesubsidenceareproposedbasedonGammadistribution(expandedversionofPoissondistribution).Thecomparisonbetweentheresultsofsurfacesubsidencecomputedbythemodelcalculationandthosemeasuredbythesimilarmaterialsimulationexperimenthasshownthatthepresentedmodel

7、canpredictasinglesetofjointrockmasssubsidencecausedbytheundergroundcoalminingwithrelativelygoodaccuracy,whichprovidestechnicalsupportforminingsubsidenceforecastingandstratamovementmonitoring.Keywordscoalmining；jointedrockmass；surfacesubsidence；skewness；Gammadi