胶凝原油的黏弹塑性损伤模型

doi:10.7623/syxb201106024

石油学报 ›› 2011, Vol. 32 ›› Issue (6): 1078-1082.DOI: 10.7623/syxb201106024

胶凝原油的黏弹塑性损伤模型

刘刚 1 卢兴国 1 徐贝贝 1 张国忠 1 孙少锋 2

1中国石油大学储运与建筑工程学院山东青岛 266555； 2中国石油规划计划部北京 100007

收稿日期:2011-04-12 修回日期:2011-07-26 出版日期:2011-11-25 发布日期:2012-01-17
通讯作者: 刘刚
作者简介:刘刚，男，1975年10月生，2004年获中国石油大学（华东）工学博士学位，现为中国石油大学（华东）副教授，主要从事油气储运工程相关研究和教学工作。
基金资助:
国家自然科学基金项目（No.50904077）、中央高校基本科研业务费专项资金项目（09CX04015A）和中国石油科技创新基金项目（2010D-5006-0606）联合资助。

A viscoelastic/plastic damage model for gelled crude oils

LIU Gang 1 LU Xingguo 1 XU Beibei 1 ZHANG Guozhong 1 SUN Shaofeng 2

Received:2011-04-12 Revised:2011-07-26 Online:2011-11-25 Published:2012-01-17

摘要/Abstract

摘要：

胶凝原油受到剪切作用后，会表现出复杂的非线性黏弹塑性蠕变破坏特性。根据统计力学原理，结合损伤力学，得到了胶凝原油考虑温度影响的损伤变量；在Burgers模型中引入该损伤变量，获得了简化的黏弹性损伤模型，可很好地描述胶凝原油黏弹特性；进一步将四参数黏弹性损伤模型与改进黏滞体模型串联，建立了胶凝原油非线性黏弹塑性损伤模型，编制拟合函数对实验数据进行拟合，实验结果验证了模型的合理性和准确性。得到的两种胶凝原油的损伤模型精度高，物理概念清晰，能够完整描述胶凝原油蠕变全过程，为确定胶凝原油管道启动压力奠定了基础，并可为其他线性或非线性黏弹性体工程实际问题的计算提供参考。

关键词: 胶凝原油, 蠕变, 统计力学, 损伤变量, 黏弹/塑性模型

Abstract:

Being sheared, gelled crude oils will show some very complicated nonlinear viscoelastic/plastic creep rupture. Based on statistical mechanics and damage mechanics, the present paper established a damage variable in terms of temperature impact. This damage variable was introduced to the Burgers model to deduce a simplified viscoelastic damage model that could well describe viscoelastic properties of gelled crude oils. Furthermore, the viscoelastic damage model with four parameters was integrated with the modified viscous body model to establish a nonlinear viscoelastic/plastic damage model for gelled crude oils, and a fitting function was compiled to fit experimental data. The reasonableness and accuracy of this model was also verified by experimental results. Both damage models for gelled crude oils described in the present paper are characterized by high precision and clear physical conception, and they can fully describe the whole creep process of gelled crude oils. Therefore, these models can lay a theoretical foundation for determining the starting pressure of gelled oil pipelines and provide a reference for the calculation of linear or nonlinear viscoelastic problems in other practical engineering.

Key words: gelled crude oil, creep, statistical mechanics, damage variable, viscoelastic/plastic model

刘刚卢兴国徐贝贝张国忠孙少锋. 胶凝原油的黏弹塑性损伤模型[J]. 石油学报, 2011, 32(6): 1078-1082.

LIU Gang LU Xingguo XU Beibei ZHANG Guozhong SUN Shaofeng. A viscoelastic/plastic damage model for gelled crude oils[J]. Editorial office of ACTA PETROLEI SINICA, 2011, 32(6): 1078-1082.

参考文献

[1]李传宪.非牛顿原油结构恢复特性试验研究[J].油气储运，2000，19（8）：48-51.

Li Chuanxian.Experimental study on structure recovery of non-Newtonian crude oil[J].Oil & Gas Storage and Transportation，2000，19(8):48-51.

[2]王志方.管内石蜡沉积物的力学响应特性研究[D].青岛：中国石油大学，2008.

Wang Zhifang.Mechanical response characteristics of the paraffin deposit in pipelines [D].Qingdao:China University of Petroleum, 2008.

[3]刘朝晖，李轶鹤.非线性粘弹性本构理论的讨论[J].南华大学学报：理工版，2003，17（2）：1-7.

Liu Zhaohui,Li Yihe.Discussion on constitutive theory of nonlinear viscoelasticity[J].Journal of Nanhua University :Science & Engineering Edition,2003,17(2):1-7.

[4]Rabotnov Y N.Elements of hereditary solid mechanics[M].Moscow:Mir Publishers,1980.

[5]Bagley R L,Torvik P J.On the fractional calculus model of viscoelastic behavior[J].J.of Rheology,1986,30(1):133-155.

[6]熊良霄，杨林德.硬脆岩的非线性粘弹塑性流变模型[J].同济大学学报:自然科学版，2010,38（2）：188-192.

Xiong Liangxiao,Yang Linde.Viscoelasto-plastic rheological model for brittle hard rock[J].Journal of Tongji University:Natural Science,2010,38(2):188-192.

[7]刘玉石，白家祉，黄荣樽，等.硬脆性泥页岩井壁稳定问题研究[J].石油学报,1998,19(1)：85-88.

Liu Yushi,Bai Jiazhi,Huang Rongzun,et al.A study on stability of brittle shale wellbore[J].Acta Petrolei Sinica,1998,19(1)：85-88.

[8]Heusermann S，Rolfs O，Schmidt U.Nonlinear finite-element analysis of solution mined storage caverns in rock salt using the LUBBY 2 constitutive model[J].Computers and Structures，2003，81(8)：629-638.

[9]陈卫忠，王者超，伍国军，等.盐岩非线性蠕变损伤本构模型及其工程应用[J].岩石力学与工程学报，2007,26（3）：467-472.

Chen Weizhong,Wang Zhechao,Wu Guojun,et al.Nonlinear creep damage constitutive model of rock salt and its application to engineering[J].Chinese Journal of Rock Mechanics and Engineering，2007,26（3）：467-472.

[10]Yuan S C,Harrison J P.A review of the state of the art in modelling progressive mechanical breakdown and associated fluid flow in intact heterogeneous rocks[J].International Journal of Rock Mechanics and Mining Sciences,2006,43（7）:1001-1022.

[11]李树春，许江,李克钢，等.基于Weibull分布的岩石损伤本构模型研究[J].湖南科技大学学报:自然科学版，2007，22（4）：65-68.

Li Shuchun,Xu Jiang,Li Kegang,et al.Study on damages constitutive model of rocks based on Weibull distributing[J].Journal of Hunan University of Science & Technology:Natural Science Edition,2007,22(4):65-68.

[12]康亚明，刘长武，贾延，等.岩石的统计损伤本构模型及临界损伤度研究[J].四川大学学报:工程科学版，2009,41（4）：42-47.

Kang Yaming,Liu Changwu,Jia Yan,et al.Research on statistical damage constitutive model and critical damage for rock subjected to triaxial stress contidion[J].Journal of Sichuan University:Engineering Science Edition,2009,41(4):42-47.

[13]Kané M,Djabourov M,Volle J L,et al.Morphology of paraffin crystals in waxy crude oils cooled in quiescent conditions and under flow[J].Fuel,2003,82(2):127-135.

[14]Hénaut I,Vincké O,Brucy F.Waxy crude oil restart:Mechanical properties of gelled oils[R].SPE 56771,1999.

[15]Cazaux G,Barre L,Brucy F.Waxy crude cold start:Assessment through gel structural properties[R].SPE 49213,1998.

[16]董毓利,谢和平,李世平.砼受压损伤力学本构模型的研究[J].工程力学,1996,13(1):44-53.

Dong Yuli,Xie Heping,Li Shiping.Continuum damage mechanics constitutive model of concrete under compression[J].Engineering Mechanics,1996,13(1):44-53.

[17]Krujcinovic D,Silva M.Statistical aspects of the continuous damage theory[J].Int.J.Solida Structures,1982,18(7):551-562.

[18]白晨光，魏一鸣，朱建明.岩石材料初始缺陷的分维数与损伤演化的关系[J].矿冶,1996,5(4):17-19.

Bai Chenguang,Wei Yiming,Zhu Jianming.The relation between dimension of defects of rock material and its damage evolution[J].Mining and Metallurgy,1996,5(4):17-19.

[19]刘刚，张丽萍，张国忠，等.南阳含蜡原油分形特性研究[J].中国石油大学学报:自然科学版,2010,34(3):109-112.

Liu Gang,Zhang Liping,Zhang Guozhong,et al.Fractal characteristics of Nanyang waxy crude oil[J].Journal of China University of Petroleum:Edition of Natural Science,2010,34(3): 109-112.

[20]袁静，龚晓南，益德清.岩土流变模型的比较研究[J].岩石力学与工程学报,2001,20(6):772-779.

Yuan Jing,Gong Xiaonan,Yi Deqing.Comparison study on rheological constitutive models[J].Chinese Journal of Rock Mechanics and Engineering,2001,20(6):772-779.

胶凝原油的黏弹塑性损伤模型

A viscoelastic/plastic damage model for gelled crude oils

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 8

编辑推荐

Metrics

本文评价

[1]	翟晓鹏, 楼一珊, 曹砚峰, 文敏. 蠕变岩层地层刚度和松弛时间对套管外挤力的影响[J]. 石油学报, 2015, 36(10): 1299-1304.
[2]	马纪伟, 王芝银, 郑雅丽, 赵艳杰. 层状盐岩蠕变变形差异性及附加应力[J]. 石油学报, 2014, 35(1): 178-183.
[3]	张华宾　王芝银　赵艳杰　郑雅丽. 盐岩全过程蠕变试验及模型参数辨识[J]. 石油学报, 2012, 33(5): 904-908.
[4]	肖文涛　张国忠　刘　刚　刘　坤　朱宜亮. 胶凝原油管道恒流量启动过程中的启动波速[J]. 石油学报, 2012, 33(3): 487-492.
[5]	李子丰, 张永贵, 阳鑫军. 蠕变地层与油井套管相互作用力学模型[J]. 石油学报, 2009, 30(1): 129-131.
[6]	林元华, 曾德智, 施太和, 韩建增, 何开平. 岩盐层蠕变规律的反演方法研究[J]. 石油学报, 2005, 26(5): 111-114.
[7]	宋胜利, 王海涛, 马海涛, 宋明, 蒋晓明. 中原油田盐岩蠕变规律研究及套管损坏预防措施[J]. 石油学报, 2005, 26(2): 119-121.
[8]	郑俊德, 张艳秋, 王文军, 王健. 非均匀载荷下套管强度的计算[J]. 石油学报, 1998, 19(1): 119-123.