石油勘探与开发2017，Vol.44Issue(6)：982-988,7.DOI:10.11698/PED.2017.06.17
基于分数阶黏弹性本构方程的井眼蠕变模型
A wellbore creep model based on the fractional viscoelastic constitutive equation
摘要
Abstract
To simulate the evolution of wellbore creep accurately,predict and prevent severe accidents such as borehole wall sloughing,casing collapse and sticking of the drill,based on previous studies,the springpot element was introduced into the classical element model and the creep compliances of the fractional constitutive models were deduced.The good fitting effect of fractional constitutive model was verified.The study shows the fractional constitutive model can simulate creep with high accuracy and less input parameters,and the physical significance of the input parameters are clearer.According to the correspondence principle of viscoelastic theory,a wellbore creep model including drilling and killing processes was built up.By adjusting the value of fractional orders,the model can transform between the models of ideal elastic material and standard solid,which implies the classical wellbore shrinkage model based on standard solid model and ideal elastic model are just special cases of this model.If the fractional order is adjusted,the creep curve will change asymmetrically,which can be can be regulated by the speeding up of the transient creep and lowering the rate of steady creep,which can not be accomplished by adjusting one parameter in the classical models.The fractional constitutive model can fit complicated non-linear creep experiment data better than other models.关键词
黏弹性本构方程/分数阶模型/弹簧壶元件/井眼缩径/岩石蠕变/井壁稳定性Key words
viscoelastic constitutive equation/fractional model/springpot element/wellbore shrinkage/rock creep/wellbore stability分类
能源科技引用本文复制引用
彭瑀,赵金洲,李勇明..基于分数阶黏弹性本构方程的井眼蠕变模型[J].石油勘探与开发,2017,44(6):982-988,7.基金项目
国家自然科学基金重大项目(51490653) （51490653）
四川省青年科技创新研究团队专项计划项目(2017TD0013) （2017TD0013）
