本文選題：黏彈性本構(gòu)方程 + 分數(shù)階模型��； 參考：《石油勘探與開發(fā)》2017年06期

【摘要】：為精確模擬井眼蠕變歷程,預測和預防井壁坍塌、套管擠毀和卡鉆等工程事故,在前人研究的基礎上,將彈簧壺元件引入經(jīng)典元件模型中,得到了分數(shù)階模型的蠕變?nèi)崃?并驗證了分數(shù)階模型的擬合效果。研究認為分數(shù)階模型能夠?qū)崿F(xiàn)少參數(shù)、高精度的模擬,并且相應參數(shù)的物理意義也更加明確。通過黏彈對應性原理,模擬了鉆進和壓井過程中的井眼蠕變情況,通過調(diào)整求導階數(shù)可以使該模型在理想彈性體模型和標準固體模型之間轉(zhuǎn)化,因此,基于標準固體本構(gòu)方程和理想彈性體本構(gòu)方程建立的井眼縮徑模型僅是該模型的特例。分析模擬結(jié)果認為調(diào)整分數(shù)階元件的階數(shù),可以在加快瞬態(tài)蠕變的同時降低穩(wěn)態(tài)蠕變的速度,對蠕變曲線進行非對稱調(diào)整,經(jīng)典模型則無法通過調(diào)整單一參數(shù)達到這一目的,分數(shù)階黏彈性本構(gòu)方程擬合高度非線性實驗數(shù)據(jù)的能力更強。
[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.
【作者單位】： 油氣藏地質(zhì)及開發(fā)工程國家重點實驗室(西南石油大學);
【基金】：國家自然科學基金重大項目(51490653) 四川省青年科技創(chuàng)新研究團隊專項計劃項目(2017TD0013)
【分類號】：TE21

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