简介:在直流电法有限元数值模拟中,针对常规结构化网格源点附近网格节点数值精度低的问题,并考虑计算效率和反演成像的需求,本文在二维点源问题中提出一种新的网格加密一收缩方法。其核心思想是在结构化网格计算区域中先后引入网格节点加密和网格节点收缩两个环节。通过在计算区域水平方向上均匀加密网格节点密度,降低源点奇异性的影响范围,并提升对地形的模拟能力;通过在计算区域垂向方向上将多个网格收缩到一个网格中,降低网格节点的规模,进而提高数值计算的效率。理论模型检验表明,网格加密-收缩方法能有效地解决源的奇异性问题,与均匀加密网格相比,网格节点总数降低了约80%。
简介:Webuiltathree-dimensionalmodeltosimulatethedisturbanceofthestressfieldnearthereversefaultinZhaziao,LeyiTownshipowingtohydraulicfracturing.Theporepressure,andshearandnormalstressesduringfracturingareanalyzedindetail.Inputrockmechanicsparametersaretakenfromlaboratorytestdataofshalesamplesfromthestudyarea.Thesimulationresultssuggestthatafter16hoursoffluidinjection,thepore-pressurevariationcanactivatethereversefault,i.e.,weobservereverseslip,andtheshearstressanddisplacementonthefaultplaneincreasewithtime.Thebiggeststress–strainchangeoccursafteronehouroffluidinjectionandtheyieldpointappearsabout0.5hafterinjection.Toobservethestressevolutionineachsection,thenormaldisplacementontheboundaryisconstrainedandthefaultplaneissetasnonpermeable.Thus,theslidingislimitedandthesheardisplacementisonlyinthescaleofmillimeters,andthecalculatedmagnitudeoftheinducedearthquakesisbetweenMw-3.5andMw-0.2.Thesimulationresultssuggestthatfluidwaterinjectionresultsininhomogeneousfracturing.Themainrupturedareasarearoundtheinjectionpositions,whereastheextentofrupturingandcracksinotherareasarerelativelysmall.Nevertheless,nonnegligiblefaultactivationisrecorded.Sensitivityanalysisofthekeyparameterssuggeststhattheporepressureismostsensitivetothemaximumunbalancedforceandtheinternalfrictionanglestronglyaffectsthefaultslip.Finally,thecomparisonbetweentheeffectivenormalstressandthemaximumandminimumprincipalstressesonthefaultplaneexplainsthefaultinstability,i.e.,theMohrcirclemovestowardstheleftwithdecreasingradiusreducesandintersectsthecriticalslipenvelope,andcausesthefaulttoslip.
简介:传统的地层压力预测方法大都建立在地层欠压实机理之上,对于由其它因素引起的异常高压现象未必适用。Yassir等(1999)发现异常地层压力通常与异常水平应力有密切联系,异常高压带的最大主应力往往很大。基于此,在分析重力场和构造应力场的双重应力场特征基础上,本次研究首先通过常规测井资料建立构造稳定地区的最大主应力的计算模型,将利用该模型计算构造挤压强烈的非稳定地区的主应力结果定义为虚拟最大主应力,再结合相对构造应力的贡献值得到最大主应力,最后在一定的超压范围之内,根据最大主应力与地层压力的拟合关系预测地层压力。通过对A气田的实际资料处理表明,利用该方法得到的地层压力预测值与实际测量值吻合较好,预测精度较传统的等效深度法有明显的提高。