基于分数阶黏弹性本构方程的井眼蠕变模型

发布时间：2018-05-03 22:24

本文选题：黏弹性本构方程 + 分数阶模型　；参考：《石油勘探与开发》2017年06期

【摘要】：为精确模拟井眼蠕变历程,预测和预防井壁坍塌、套管挤毁和卡钻等工程事故,在前人研究的基础上,将弹簧壶元件引入经典元件模型中,得到了分数阶模型的蠕变柔量,并验证了分数阶模型的拟合效果。研究认为分数阶模型能够实现少参数、高精度的模拟,并且相应参数的物理意义也更加明确。通过黏弹对应性原理,模拟了钻进和压井过程中的井眼蠕变情况,通过调整求导阶数可以使该模型在理想弹性体模型和标准固体模型之间转化,因此,基于标准固体本构方程和理想弹性体本构方程建立的井眼缩径模型仅是该模型的特例。分析模拟结果认为调整分数阶元件的阶数,可以在加快瞬态蠕变的同时降低稳态蠕变的速度,对蠕变曲线进行非对称调整,经典模型则无法通过调整单一参数达到这一目的,分数阶黏弹性本构方程拟合高度非线性实验数据的能力更强。
[Abstract]:In order to simulate the creep history of borehole accurately and to predict and prevent engineering accidents such as wellbore collapse, casing collapse and drill jam, the spring pot element was introduced into the classical element model on the basis of previous studies, and the creep compliance of fractional order model was obtained. The fitting effect of fractional order model is verified. It is considered that the fractional order model can be simulated with less parameters and higher accuracy, and the physical meaning of the corresponding parameters is more clear. Through the viscoelastic correspondence principle, the hole creep during drilling and well killing is simulated. By adjusting the derivation order, the model can be transformed between the ideal elastomer model and the standard solid model. The borehole shrinkage model based on standard solid constitutive equation and ideal elastomer constitutive equation is only a special case of this model. The simulation results show that adjusting the order of fractional component can accelerate the transient creep and decrease the steady state creep speed. The creep curve can be adjusted asymmetrically, but the classical model can not achieve this goal by adjusting a single parameter. The fractional viscoelastic constitutive equation is more capable of fitting highly nonlinear experimental data.
【作者单位】：油气藏地质及开发工程国家重点实验室(西南石油大学);
【基金】：国家自然科学基金重大项目(51490653) 四川省青年科技创新研究团队专项计划项目(2017TD0013)
【分类号】：TE21

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