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中南大学学报(自然科学版)

Journal of Central South University

第51卷    第5期    总第309期    2020年5月

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文章编号:1672-7207(2020)05-1337-13
基于广义Kelvin模型的非定常盐岩蠕变模型
韩伟民1,闫怡飞2,闫相祯1

(1. 中国石油大学(华东) 储运与建筑工程学院,山东 青岛,266580;
2. 中国石油大学(华东) 机电工程学院,山东 青岛,266580
)

摘 要: 针对川东北油气田盐岩地层普遍出现的套损现象,对该地层段盐岩的蠕变特性进行研究。用非定常黏壶元件替换广义Kelvin模型中的线性黏壶元件,建立非定常广义Kelvin模型;将其与能够描述盐岩稳态蠕变特征的Heard模型进行串联,构建新的四元件NGKH盐岩非线性蠕变本构模型,可以描述盐岩的衰减蠕变阶段和稳态蠕变阶段特征。基于室内三轴蠕变试验结果,利用Levenberg-Marquardt算法对NGKH模型蠕变参数进行识别。基于FLAC3D的UDM接口程序,采用C++编程语言对其进行二次开发;并通过三轴蠕变试验的数值模拟对开发NGKH模型进行验证。研究结果表明:NGKH模型的拟合结果与室内试验结果吻合良好,该蠕变模型能够准确描述盐岩的非线性蠕变特性;通过黏弹性与非线性计算结果,验证了开发NGKH模型程序的正确性和合理性。

 

关键字: 蠕变本构模型;非定常广义Kelvin模型;Heard稳态蠕变模型;二次开发;有限差分法

Non-stationary creep model for salt rock based on generalized Kelvin model
HAN Weimin1, YAN Yifei2, YAN Xiangzhen1

1. College of Pipeline and Civil Engineering, China University of Petroleum, Qingdao 266580, China;
2. College of Mechanical and Electronic Engineering, China University of Petroleum, Qingdao 266580, China

Abstract:The creep characteristics of salt rock were studied in northeastern Sichuan oil and gas field in view of the casing damage commonly occurring in salt rock formation. A non-stationary generalized Kelvin model was established by replacing the linear viscous component with a nonlinear viscous component. By connecting it with the Heard model, which could describe the steady creep stage of salt rock, a new non-linear four-element NGKH creep constitutive model for salt rock was constructed, which could describe the characteristics of decay creep stage and steady creep stage of salt rock. Based on the results of triaxial creep tests in laboratory, the creep parameters of NGKH model were identified by Levenberg-Marquardt algorithm. The NGKH model was redeveloped using UDM interface program of FLAC3D with C++ programming language, and verified by numerical simulation of triaxial compression tests. The results show that the fitting results of NGKH model are in good agreement with the laboratory test results, and the creep model can accurately describe the non-linear creep characteristics of salt rock. The correctness and rationality of developing NGKH model can be verified by the viscoelastic and non-linear calculation results.

 

Key words: creep constitutive model; non-stationary generalized Kelvin model; Heard steady creep model; secondary development; finite difference method

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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