细砂质含水合物沉积介质的非线性弹性力学模型
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摘要
描述含水合物沉积介质的应力-应变关系,建立含水合物沉积介质的力学模型,预测水合物储层的变形规律,是有效开发水合物资源的基本前提。以经典邓肯-张模型为基础,结合细砂质含水合物沉积介质力学三轴试验数据,提出了适合细砂质含水合物沉积介质的非线性弹性力学模型及其参数,并验证了模型的准确性。结果表明,该模型及其参数可以很好地描述细砂质含水合物沉积介质的应力-应变的非线性弹性关系。
Describing the stress-strain relationship of hydrate-bearing sediments, establishing a mechanical model of hydrate-bearing sediments and predicting the deformation of hydrate reservoirs are the basic prerequisites for the effective development of hydrate resources. In this study, the triaxial compressive properties of fine sandy hydrate-bearing sediments are analyzed to examine the applicability of a nonlinear elastic constitutive model based on the Duncan-Chang model. It is shown that the proposed model can describe the stress-strain behavior of fine sandy hydrate-bearing sediments, which demonstrates the validity and reasonability of this model.
Describing the stress-strain relationship of hydrate-bearing sediments, establishing a mechanical model of hydrate-bearing sediments and predicting the deformation of hydrate reservoirs are the basic prerequisites for the effective development of hydrate resources. In this study, the triaxial compressive properties of fine sandy hydrate-bearing sediments are analyzed to examine the applicability of a nonlinear elastic constitutive model based on the Duncan-Chang model. It is shown that the proposed model can describe the stress-strain behavior of fine sandy hydrate-bearing sediments, which demonstrates the validity and reasonability of this model.
引文
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[8] 李洋辉,宋永臣,刘卫国,等.温度和应变速率对水合物沉积物强度影响试验研究[J].天然气勘探与开发,2012,35(1):50-53.[LI Yanghui,SONG Yongchen,LIU Weiguo,et al.Effects of temperature and strain rate on strength of hydrate sediment[J].Natural Gas Exploration & Development,2012,35(1):50-53.]
[9] 颜荣涛,韦昌富,魏厚振,等.水合物形成对含水合物砂土强度影响[J].岩土工程学报,2012,34(7):1234-1240.[YAN Rongtao,WEI Changfu,WEI Houzhen,et al.Effect of hydrate formation on mechanical strength of hydrate-bearing sand[J].Chinese Journal of Geotechnical Engineering,2012,34(7):1234-1240.]
[10] 孙中明,张剑,刘昌岭,等.沉积物中甲烷水合物饱和度测定及其力学特性研究[J].实验力学,2013,28(6):747-754.[SUN Zhongming,ZHANG Jian,LIU Changling,et al.On the determination of methane hydrate saturation and mechanical properties of sediments containing methane hydrate[J].Journal of Experimental Mechanics,2013,28(6):747-754.]
[11] 石要红,张旭辉,鲁晓兵,等.南海水合物黏土沉积物力学特性试验模拟研究[J].力学学报,2015,47(3):521-528.[SHI Yaohong,ZHANG Xuhui,LU Xiaobing,et al.Experimental study on the static mechanical properties of hydrate-bearing silty-clay in the South China Sea[J].Chinese Journal of Theoretical and Applied Mechanics,2015,47(3):521-528.]
[12] 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.]
[13] Yan C,Cheng Y,Li M,et al.Mechanical experiments and constitutive model of natural gas hydrate reservoirs[J].International Journal of Hydrogen Energy,2017,42(31):19810-19818.
[14] Liu W,Luo T,Li Y,et al.Experimental study on the mechanical properties of sediments containing CH4 and CO2 hydrate mixtures[J].Journal of Natural Gas Science and Engineering,2016,32:20-27.
[15] Song Y,Zhu Y,Liu W,et al.The effects of methane hydrate dissociation at different temperatures on the stability of porous sediments[J].Journal of Petroleum Science and Engineering,2016,147:77-86.
[16] 胡高伟,李彦龙,吴能友,等.神狐海域W18/19站位天然气水合物上覆层不排水抗剪强度预测[J].海洋地质与第四纪地质,2017,37(5):151-158.[HU Gaowei,LI Yanlong,WU Nengyou,et al.Undrained shear strength estimation of the cover layer of hydrate at site W18/19 of Shenhu area[J].Marine Geology & Quaternary Geology,2017,37(5):151-158.]
[17] 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.]
[18] Klar A,Soga K,Ng M Y A.Coupled deformation-flow analysis for methane hydrate extraction[J].Geotechnique,2010,60(10):765-776.
[19] Uchida S,Soga K,Yamamoto K.Critical state soil constitutive model for methane hydrate soil[J].Journal of Geophysical Research-Solid Earth,2012,117.
[20] 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.]
[21] 吴二林,韦昌富,魏厚振,等.含天然气水合物沉积物损伤统计本构模型[J].岩土力学,2013,34(1):60-65.[WU Erlin,WEI Changfu,WEI Houzhen,et al.A statistical damage constitutive model of hydrate-bearing sediments[J].Rock and Soil Mechanics,2013,34(1):60-65.]
[22] 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.]
[23] 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.
[24] 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.]
[25] 关进安,卢静生,梁德青,等.高压下南海神狐水合物区域海底沉积地层三轴力学性质初步测试[J].新能源进展,2017,5(1):40-46.[GUAN Jinan,LU Jingsheng,LIAN Deqing,et al.Preliminary tri-axial mechanical test on the hydrate-bearing media from Shenhu Area of South China Sea under high confining pressures[J].Advances in New and Renewable Energy,2017,5(1):40-46.]
[26] Duncan J M,Chang C Y.Nonlinear analysis of stress and strain in soils[J].Asce Soil Mechanics & Foundation Division Journal,1970,96(5):1629-1653.
[2] 李彦龙.我国海域天然气水合物试开采圆满完成并取得历史性突破[J].海洋地质与第四纪地质,2017,37(5):34.[LI Yanlong.China′s natural gas hydrate trial mining successfully completed and made a historic breakthrough[J].Marine Geology & Quaternary Geology,2017,37(5):34.]
[3] 王淑红,宋海斌,颜文.天然气水合物的环境效应[J].矿物岩石地球化学通报,2004,23(2):160-165.[WANG Shuhong,SONG Haibin,YAN Wen.Environmental effects of natural gas hydrate[J].Bulletin of Mineralog,Petrology and Geochemistry,2004,23(2):160-165.]
[4] Sakamoto Y,Kakumoto M,Miyazaki K,et al.Numerical study on consolidation and gas production behavior in a laboratory-scale experiment for dissociation process of methane hydrate by depressurization :Estimation of permeability in methane hydrate reservoir,part7[J].International Journal of Offshore & Polar Engineering,2009,19(2):124-134.
[5] 张旭辉,王淑云,李清平,等.天然气水合物沉积物力学性质的试验研究[J].岩土力学,2010,31(10):3069-3074.[ZHANG Xuhui,WANG Shuyun,LI Qingping,et al.Experimental study of mechanical properties of gas hydrate deposits[J].Rock and Soil Mechanics,2010,31(10):3069-3074.]
[6] 李洋辉,宋永臣,于锋,等.围压对含水合物沉积物力学特性的影响[J].石油勘探与开发,2011,38(5):637-640.[LI Yanghui,SONG Yongchen,YU Feng,et al.Effect of confining pressure on mechanical behavior of methane hydrate-bearing sediments[J].Petroleum Exploration and Development,2011,38(5):637-640.]
[7] 魏厚振,颜荣涛,陈盼,等.不同水合物含量含二氧化碳水合物砂三轴试验研究[J].岩土力学,2011,32(S2) :198-203.[WEI Houzhen,YAN Rongtao,CHEN Pan,et al.Deformation and failure behavior of carbon dioxide hydrate-bearing sands with different hydrate contents under triaxial shear tests[J].Rock and Soil Mechanics,2011,32(S2):198-203.]
[8] 李洋辉,宋永臣,刘卫国,等.温度和应变速率对水合物沉积物强度影响试验研究[J].天然气勘探与开发,2012,35(1):50-53.[LI Yanghui,SONG Yongchen,LIU Weiguo,et al.Effects of temperature and strain rate on strength of hydrate sediment[J].Natural Gas Exploration & Development,2012,35(1):50-53.]
[9] 颜荣涛,韦昌富,魏厚振,等.水合物形成对含水合物砂土强度影响[J].岩土工程学报,2012,34(7):1234-1240.[YAN Rongtao,WEI Changfu,WEI Houzhen,et al.Effect of hydrate formation on mechanical strength of hydrate-bearing sand[J].Chinese Journal of Geotechnical Engineering,2012,34(7):1234-1240.]
[10] 孙中明,张剑,刘昌岭,等.沉积物中甲烷水合物饱和度测定及其力学特性研究[J].实验力学,2013,28(6):747-754.[SUN Zhongming,ZHANG Jian,LIU Changling,et al.On the determination of methane hydrate saturation and mechanical properties of sediments containing methane hydrate[J].Journal of Experimental Mechanics,2013,28(6):747-754.]
[11] 石要红,张旭辉,鲁晓兵,等.南海水合物黏土沉积物力学特性试验模拟研究[J].力学学报,2015,47(3):521-528.[SHI Yaohong,ZHANG Xuhui,LU Xiaobing,et al.Experimental study on the static mechanical properties of hydrate-bearing silty-clay in the South China Sea[J].Chinese Journal of Theoretical and Applied Mechanics,2015,47(3):521-528.]
[12] 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.]
[13] Yan C,Cheng Y,Li M,et al.Mechanical experiments and constitutive model of natural gas hydrate reservoirs[J].International Journal of Hydrogen Energy,2017,42(31):19810-19818.
[14] Liu W,Luo T,Li Y,et al.Experimental study on the mechanical properties of sediments containing CH4 and CO2 hydrate mixtures[J].Journal of Natural Gas Science and Engineering,2016,32:20-27.
[15] Song Y,Zhu Y,Liu W,et al.The effects of methane hydrate dissociation at different temperatures on the stability of porous sediments[J].Journal of Petroleum Science and Engineering,2016,147:77-86.
[16] 胡高伟,李彦龙,吴能友,等.神狐海域W18/19站位天然气水合物上覆层不排水抗剪强度预测[J].海洋地质与第四纪地质,2017,37(5):151-158.[HU Gaowei,LI Yanlong,WU Nengyou,et al.Undrained shear strength estimation of the cover layer of hydrate at site W18/19 of Shenhu area[J].Marine Geology & Quaternary Geology,2017,37(5):151-158.]
[17] 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.]
[18] Klar A,Soga K,Ng M Y A.Coupled deformation-flow analysis for methane hydrate extraction[J].Geotechnique,2010,60(10):765-776.
[19] Uchida S,Soga K,Yamamoto K.Critical state soil constitutive model for methane hydrate soil[J].Journal of Geophysical Research-Solid Earth,2012,117.
[20] 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.]
[21] 吴二林,韦昌富,魏厚振,等.含天然气水合物沉积物损伤统计本构模型[J].岩土力学,2013,34(1):60-65.[WU Erlin,WEI Changfu,WEI Houzhen,et al.A statistical damage constitutive model of hydrate-bearing sediments[J].Rock and Soil Mechanics,2013,34(1):60-65.]
[22] 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.]
[23] 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.
[24] 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.]
[25] 关进安,卢静生,梁德青,等.高压下南海神狐水合物区域海底沉积地层三轴力学性质初步测试[J].新能源进展,2017,5(1):40-46.[GUAN Jinan,LU Jingsheng,LIAN Deqing,et al.Preliminary tri-axial mechanical test on the hydrate-bearing media from Shenhu Area of South China Sea under high confining pressures[J].Advances in New and Renewable Energy,2017,5(1):40-46.]
[26] Duncan J M,Chang C Y.Nonlinear analysis of stress and strain in soils[J].Asce Soil Mechanics & Foundation Division Journal,1970,96(5):1629-1653.
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