Damage constitutive model of equivalent variable elastic modulus for gas hydrate sediments

doi:10.7623/syxb201909006

Acta Petrolei Sinica ›› 2019, Vol. 40 ›› Issue (9): 1085-1094.DOI: 10.7623/syxb201909006

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Damage constitutive model of equivalent variable elastic modulus for gas hydrate sediments

Zhu Xiaohua¹, Sun Hanwen¹, Zhao Jinzhou¹, Zhang Liehui¹, Zhang Shuang²

1. School of Mechatronic Engineering, Southwest Petroleum University, Sichuan Chengdu 610500, China;
2. CNPC Research Institute of Safety and Environment, Beijing 102206, China

Received:2018-07-25 Revised:2019-02-27 Online:2019-09-25 Published:2019-10-15

天然气水合物沉积物等效变弹性模量损伤本构模型

祝效华¹, 孙汉文¹, 赵金洲¹, 张烈辉¹, 张爽²

1. 西南石油大学机电工程学院四川成都 610500;
2. 中国石油集团安全环保技术研究院有限公司北京 102206

通讯作者: 祝效华,男,1978年7月生,2000年获西南石油学院学士学位,2005年获西南石油大学博士学位,现为西南石油大学教授、博士生导师,主要从事管柱力学和井下工具力学方面的科研与教学工作。Email:zxhth113@163.com
作者简介:祝效华,男,1978年7月生,2000年获西南石油学院学士学位,2005年获西南石油大学博士学位,现为西南石油大学教授、博士生导师,主要从事管柱力学和井下工具力学方面的科研与教学工作。Email:zxhth113@163.com
基金资助:
国家自然科学基金项目（No.51674214）、四川省青年科技创新研究团队项目（2017TD0014）和四川省科技计划国际合作计划项目（2016HH0008）资助。

Abstract

Abstract:

Accurately describing the deformation laws and mechanical properties of hydrate sediments is an important prerequisite for the economical and safe development of natural gas hydrate resources. The methane hydrate bearing sediments are affected by many factors such as effective confining pressure and gas hydrate content, thus showing two mechanical properties, i.e., strain softening and hardening. In order to accurately describe its deformation characteristics, based on theories of the micromechanics mixing rate of composite and the rock pore damage theory, considering the statistical damage of rock, considering the influences from gas hydrate content, confining pressure and pore changes in sediments on the mechanical properties of methane hydrate bearing sediments, and combined with the statistical distribution of the micro-unit strength, the damage constitutive model of equivalent variable elastic modulus for methane hydrate bearing sediments was established, and the determination method of all parameters was established. Compared with the experimental results, it is shown that this model not only can well describe the deformation laws and mechanical properties of methane hydrate bearing sediments, but also has advantages in easy determination and simple use of the model parameters. The model proposed in this paper can be applied to simulate the crushing process of methane hydrate bearing sediments, and also analyze and evaluate the borehole stability, which is helpful to promote the economical and safe exploitation of non-diagenetic natural gas hydrate.

Key words: gas hydrate, constitutive model, damage statistic, yield strength, mechanical response

摘要：

准确描述水合物沉积物的变形规律和力学性质是经济安全开发天然气水合物资源的重要前提。天然气水合物沉积物受到有效围压和水合物含量等多种因素的影响从而表现出应变软化和应变硬化两种力学特性。为精确描述其变形特性，基于复合材料细观力学混合率理论和岩石孔隙损伤理论，考虑岩石统计损伤，考虑水合物含量、围压和沉积物内部孔隙变化对天然气水合物沉积物力学性质的影响，结合水合物沉积物的微元强度统计分布规律，建立了天然气水合物沉积物等效变弹性模量损伤本构模型，并建立了全部参数的确定方法。与已有实验研究结果对比表明，该模型不仅可以很好描述水合物沉积物的变形规律和力学特性，且具有模型参数易于确定、便于使用的优点。所建模型可用于水合物沉积物破碎工艺选择中的破碎模拟和破碎成孔中的孔稳定性分析评估，对非成岩天然气水合物的经济安全开采具有一定推动作用。

关键词: 天然气水合物, 本构模型, 统计损伤, 屈服强度, 力学响应

CLC Number:

TE133

Zhu Xiaohua, Sun Hanwen, Zhao Jinzhou, Zhang Liehui, Zhang Shuang. Damage constitutive model of equivalent variable elastic modulus for gas hydrate sediments[J]. Acta Petrolei Sinica, 2019, 40(9): 1085-1094.

祝效华, 孙汉文, 赵金洲, 张烈辉, 张爽. 天然气水合物沉积物等效变弹性模量损伤本构模型[J]. 石油学报, 2019, 40(9): 1085-1094.

References

[1] 钱伯章,朱建芳. 天然气水合物:巨大的潜在能源[J].天然气与石油,2008,26(4):47-52.
QIAN Bozhang,ZHU Jianfang.Natural gas hydrate:immense potential energy[J].Natural Gas and Oil,2008,26(4):47-52.
[2] 江怀友,乔卫杰,钟太贤,等.世界天然气水合物资源勘探开发现状与展望[J].中外能源,2008,13(6):19-25.
JIANG Huaiyou,QIAO Weijie,ZHONG Taixian,et al.Status and forecast of world's natural gas hydrate exploration & development[J].Sino-Global Energy,2008,13(6):19-25.
[3] YE Yuguang,LIU Changling.Natural gas hydrates:experimental techniques and their applications[M].Berlin Heidelberg:Springer,2013:3-10.
[4] 王香增.延长石油集团非常规天然气勘探开发进展[J].石油学报,2016,37(1):137-144.
WANG Xiangzeng.Advances in unconventional gas exploration and development of Yanchang Petroleum Group[J].Acta Petrolei Sinica,2016,37(1):137-144.
[5] MAKOGON Y F.Hydrates of hydrocarbons[M].Tulsa:Penn well Books,1997.
[6] YOUSIF M H,ABASS H H,SELIM M S,et al.Experimental and theoretical investigation of methane-gas-hydrate dissociation in porous media[J].SPE Reservoir Engineering,1991,6(1):69-76.
[7] TSYPKIN G G.Mathematical models of gas hydrates dissociation in porous media[J].Annals of the New York Academy of Sciences,2000,912(1):428-436.
[8] SUN X,NANCHARY N,MOHANTY K K.1-D modeling of hydrate depressurization in porous media[J].Transport in Porous Media,2005,58(3):315-338.
[9] 程远方,沈海超,赵益忠,等.多孔介质中天然气水合物降压分解有限元模拟[J].中国石油大学学报:自然科学版,2009,33(3):85-89.
CHENG Yuanfang,SHEN Haichao,ZHAO Yizhong,et al.Numerical simulation with finite element method on natural gas hydrate decomposition by depressurization in porous media[J].Journal of China University of Petroleum:Edition of Natural Science,2009,33(3):85-89.
[10] 程远方,沈海超,赵益忠,等.天然气水合物藏开采物性变化的流固耦合研究[J].石油学报,2010,31(4):607-611.
CHENG Yuanfang,SHEN Haichao,ZHAO Yizhong,et al.Study on fluid-solid coupling of physical variation of gas hydrate reservoirs during natural gas development[J].Acta Petrolei Sinica,2010,31(4):607-611.
[11] 沈海超.天然气水合物藏降压开采流固耦合数值模拟研究[D].青岛:中国石油大学(华东),2009.
SHEN Haichao.Fluid-solid coupling numerical simulation on natural gas production from hydrate reservoirs by depressurization[D].Qingdao:China University of Petroleum,2009.
[12] KIMOTO S,OKA F,FUSHITA T,et al.A chemo-thermo-mechanically coupled numerical simulation of the subsurface ground deformations due to methane hydrate dissociation[J].Computers and Geotechnics,2007,34(4):216-228.
[13] KIMOTO S,OKA F,FUSHITA T.A chemo-thermo-mechanically coupled analysis of ground deformation induced by gas hydrate dissociation[J].International Journal of Mechanical Sciences,2010,52(2):365-376.
[14] 宁伏龙.天然气水合物地层井壁稳定性研究[D].武汉:中国地质大学,2005.
NING Fulong.Research on wellbore stability in gas hydrae formation[D].Wuhan:China University of Geosciences,2005.
[15] IWAI H,KIMOTO S,AKAKI T,OKA F.Stability Analysis of Methane Hydrate-Bearing Soils Considering Dissociation[J].Energies,2015,8(6):5381-5412.
[16] VATSALA A,NOVA R,MURTHY B R S.Elastoplastic model for cemented soils[J].Journal of Geotechnical and Geoenvironmental Engineering,2001,127(8):679-687.
[17] KLAR A,SOGA K,NG M Y A.Coupled deformation-flow analysis for methane hydrate extraction[J]. Géotechnique,2010,60(10):765-776.
[18] SULTAN N,GARZIGLIA S.Geomechanical constitutive modelling of gas-hydrate-bearing sediments[C]//Proceedings of the 7th International Conference on Gas Hydrates.Edinburgh:Hydrafact Ltd,2011:17-21.
[19] UCHIDA U,SOGA K,YAMAMOTO K.Critical state soil constitutive model for methane hydrate soil[J].Journal of Geophysical Research,2012,117(B3):B03209.
[20] YUN T S,SANTAMARINA J C,RUPPEL C.Mechanical properties of sand,silt,and clay containing tetrahydrofuran hydrate[J].Journal of Geophysical Research,2007,112(B4):B04106.
[21] MIYAZAKI K,AOKI K,TENMA N.A nonlinear elastic constitutive model for artificial methane-hydrate-bearing sediment[C]//Proceedings of the 7th International Conference on Gas Hydrates.Edinburgh:Hydrafact Ltd,2011.
[22] 颜荣涛,韦昌富,傅鑫晖,等.水合物赋存模式对含水合物土力学特性的影响[J].岩石力学与工程学报,2013,32(S2):4115-4122.
YAN Rongtao,WEI Changfu,FU Xinhui,et al.Influence of occurrence mode of hydrate on mechanical behaviour of hydrate-bearing soils[J].Chinese Journal of Rock Mechanics and Engineering,2013,32(S2):4115-4122.
[23] 魏纳,孙万通,孟英峰,等.海洋天然气水合物藏钻探环空相态特性[J].石油学报,2017,38(6):710-720.
WEI Na,SUN Wantong,MENG Yingfeng,et al.Annular phase behavior analysis during marine natural gas hydrate reservoir drilling[J].Acta Petrolei Sinica,2017,38(6):710-720.
[24] 吴二林,魏厚振,颜荣涛,等.考虑损伤的含天然气水合物沉积物本构模型[J].岩石力学与工程学报,2012,31(S1):3045-3050.
WU Erlin,WEI Houzhen,YAN Rongtao,et al.Constitutive model for gas hydrate-bearing sediments considering damage[J].Chinese Journal of Rock Mechanics and Engineering,2012,31(S1):3045-3050.
[25] 宁建国,王慧,朱志武,等.基于细观力学方法的冻土本构模型研究[J].北京理工大学学报,2005,25(10):847-851.
NING Jianguo,WANG Hui,ZHU Zhiwu,et al.Investigation of the constitutive modle of frozen soil based on meso-mechanics[J].Transactions of Beijing Institute of Technology, 2005,25(10):847-851.
[26] 曹文贵,杨尚,张超.考虑弹性模量变化的岩石统计损伤本构模型[J].水文地质工程地质,2017,44(3):42-48.
CAO Wengui,YANG Shang,ZHANG Chao.A statistical damage constitutive model of rocks considering the variation of the elastic modulus[J].Hydrogeology and Engineering Geology,2017,44(3):42-48.
[27] 赵金洲,彭瑀,林啸,等.考虑复杂应力分布的数值缝宽计算模型及其应用[J].石油学报,2016,37(7):914-920.
ZHAO Jinzhou,PENG Yu,LIN Xiao,et al.Numerical fracture width model considering complex stress distribution and its application[J].Acta Petrolei Sinica,2016,37(7):914-920.
[28] 刘震,孙迪,李潍莲,等.沉积盆地地层孔隙动力学研究进展[J].石油学报,2016,37(10):1193-1215.
LIU Zhen,SUN Di,LI Weilian,et al.Advances in research on stratigraphic porodynamics of sedimentary basins[J].Acta Petrolei Sinica,2016,37(10):1193-1215.
[29] LEMAITRE J.How to use damage mechanics[J].Nuclear Engineering and Design,1984,80(2):233-245.
[30] ZHAO Heng,SHI Caijun,ZHAO Minghua,et al.Statistical damage constitutive model for rocks considering residual strength[J].International Journal of Geomechanics, 2017,17(1):04016033.
[31] 唐春安.岩石破裂过程中的灾变[M].北京:煤炭工业出版社,1993.
TANG Chun'an.Catastrophe in rock unstable failure[M].Beijing:China Coal Industry Publishing House,1993.
[32] 曹文贵,赵衡,张永杰,等.考虑体积变化影响的岩石应变软硬化损伤本构模型及参数确定方法[J].岩土力学,2011,32(3):647-654.
CAO Wengui,ZHAO Heng,ZHANG Yongjie,et al.Strain softening and hardening damage constitutive model for rock considering effect of volume change and its parameters determination method[J].Rock and Soil Mechanics,2011,32(3):647-654.
[33] 曹文贵,李翔.岩石损伤软化统计本构模型及参数确定方法的新探讨[J].岩土力学,2008,29(11):2952-2956.
CAO Wengui,LI Xiang.A new discussion on damage softening statistical constitutive model for rocks and method for determining its parameters[J].Rock and Soil Mechanics,2008,29(11):2952-2956.
[34] CAO Wengui,ZHAO Heng,LI Xiang,et al.Statistical damage model with strain softening and hardening for rocks under the influence of voids and volume changes[J].Canadian Geotechnical Journal,2010,47(8):857-871.
[35] 颜荣涛,梁维云,韦昌富,等.考虑赋存模式影响的含水合物沉积物的本构模型研究[J].岩土力学,2017,38(1):10-18.
YAN Rongtao,LIANG Weiyun,WEI Changfu,et al.A constitutive model for gas hydrate-bearing sediments considering hydrate occurring habits[J].Rock and Soil Mechanics,2017,38(1):10-18.
[36] 孙中明.沉积物中水合物饱和度及其相应力学特性的实验研究[D].青岛:中国石油大学(华东),2013:1-72.
SUN Zhongming.Experimental study on hydrate saturation and mechanical properties of gas hydrate-bearing sediments[D].Qingdao:China University of Petroleum,2013:1-72.
[37] 孙晓杰,程远方,李令东,等.天然气水合物岩样三轴力学试验研究[J].石油钻探技术,2012,40(4):52-57.
SUN Xiaojie,CHENG Yuanfang,LI Lingdong,et al.Triaxial compression test on synthetic core sample with simulated hydrate-bearing sediments[J].Petroleum Drilling Techniques,2012,40(4):52-57.
[38] 张怀文,程远方,李梦来,等.南海北部深水浅层天然气水合物储层力学特性试验及强度准则建立[J].中国海上油气,2017,29(6):115-121.
ZHANG Huaiwen,CHENG Yuanfang,LI Menglai,et al.Tests on rock mechanics and establishment of strength criterion for gas hydrate reservoirs in the northern shallow sediments of South China Sea[J].China Offshore Oil and Gas,2017,29(6):115-121.
[39] 李梦来.南海不同类型天然气水合物储层物理力学特性研究[D].青岛:中国石油大学(华东),2016.
LI Menglai.Study on physical and mechanical characteristics of multi-type natural gas hydrate-bearing sediments in the South China Sea[D].Qingdao:China University of Petroleum,2016.
[40] 李彦龙,刘昌岭,刘乐乐,等.含甲烷水合物松散沉积物的力学特性[J].中国石油大学学报:自然科学版,2017,41(3):105-113.
LI Yanlong,LIU Changling,LIU Lele,et al.Mechanical properties of methane hydrate-bearing unconsolidated sediments[J].Journal of China University of Petroleum:Edition of Natural Science,2017,41(3):105-113.
[41] 黄萌,单红仙,刘乐乐,等.含甲烷水合物非固结沉积物三轴实验[J].西安石油大学学报:自然科学版,2017,32(1):31-36.
HUANG Meng,SHAN Hongxian,LIU Lele,et al.Triaxial test of unconsolidated hydrate sediment containing methane[J].Journal of Xi'an Shiyou University:Natural Science Edition,2017,32(1):31-36.
[42] 李彦龙,刘昌岭,刘乐乐.含水合物沉积物损伤统计本构模型及其参数确定方法[J].石油学报,2016,37(10):1273-1279.
LI Yanlong,LIU Changling,LIU Lele.Damage statistic constitutive model of hydrate-bearing sediments and the determination method of parameters[J].Acta Petrolei Sinica,2016,37(10):1273-1279.
[43] MIYAZAKI K,TENMA N,AOKI K,et al.A nonlinear elastic model for triaxial compressive properties of artificial methane-hydrate-bearing sediment samples[J].Energies,2012,5(10):4057-4075.
[44] MASUI A,HANEDA H,OGATA Y,et al.The effect of saturation degree of methane hydrate on the shear strength of synthetic methane hydrate sediments[C]//Proceedings of the 5th International Conference on Gas Hydrates.Trondheim,Norway:Tapir Academic Press,2005:674-680.
[45] WAITE W F,SANTAMARINA J C,CORTES D D,et al.Physical properties of hydrate-bearing sediments[J].Reviews of Geophysics,2009,47(4):RG4003.

Damage constitutive model of equivalent variable elastic modulus for gas hydrate sediments

天然气水合物沉积物等效变弹性模量损伤本构模型

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