二氧化碳注入砂岩透镜体中裂缝扩展模拟
|
摘要
二氧化碳地质封存技术是一种减少二氧化碳排放量的有效方式。砂岩透镜体具有良好的储-盖组合,是较为理想的二氧化碳封存场址。砂岩透镜体中注入超临界二氧化碳引起的裂缝萌生、扩展、演化等一系列复杂问题直接决定着封存的安全性。利用ABAQUS数值模拟软件,基于扩展有限元法(XFEM)建立流-固耦合模型,通过将超临界二氧化碳注入砂岩透镜体,观察透镜体内部砂岩储层裂缝破裂过程。数值模拟研究得出结论:在透镜体产状不同的条件下,倾斜透镜体相对于水平透镜体封存能力较差,不适宜进行二氧化碳封存;将二氧化碳以3种不同的流速充注到砂岩透镜体中,流速增加不利于封存的安全性,但是裂缝长度和形态没有发生明显变化;裂缝在扩展过程中裂缝首先变宽成为导流通道,然后变长扩展,裂缝尖端应力先增大达到峰值然后逐渐降低,最终裂缝停止扩展。
Carbon dioxide geological storage technology is an effective way to reduce carbon dioxide emissions. The sandstone lens is an ideal site for carbon dioxide storage because of its good combination of reservoir cover. Duringthe supercritical carbon dioxide injected into sandstone lens,a series of complex problems including fracture initiation,extension and evolution directly determine the safety of storage. The numerical simulation software ABAQUS that is based on the extended finite element method( XFEM) is used in this study. The study uses the changes of the main keywords to set up fluid-solid coupling model. Then the process of injecting supercritical carbon dioxide into sandstone lens is observed to find out the fracture failure process in the internal sandstone lens reservoir. Several conclusions are drawn from the simulation as follows. Under the condition of different lens shapes,the velocity of the inclined lens is faster than that of the horizontal lens,and the pore pressure at fracture initiation is much larger. The propagation time is short,and the CO2 storage ability is poor. As three different kinds of CO2 injection flowing rates increase,the pressure increase is more obvious,the initiating cracking time is shorter,the fracture propagation time is shorter and the speed of propagation is faster. However,the length and shape of the fracture do not change significantly. In the process of the fracture propagation,the fracture widens firstly and becomes the diversion channel,and then grows. The stress at the fracture tip increases first and then decreases gradually. The fracture stops expanding at last.
Carbon dioxide geological storage technology is an effective way to reduce carbon dioxide emissions. The sandstone lens is an ideal site for carbon dioxide storage because of its good combination of reservoir cover. Duringthe supercritical carbon dioxide injected into sandstone lens,a series of complex problems including fracture initiation,extension and evolution directly determine the safety of storage. The numerical simulation software ABAQUS that is based on the extended finite element method( XFEM) is used in this study. The study uses the changes of the main keywords to set up fluid-solid coupling model. Then the process of injecting supercritical carbon dioxide into sandstone lens is observed to find out the fracture failure process in the internal sandstone lens reservoir. Several conclusions are drawn from the simulation as follows. Under the condition of different lens shapes,the velocity of the inclined lens is faster than that of the horizontal lens,and the pore pressure at fracture initiation is much larger. The propagation time is short,and the CO2 storage ability is poor. As three different kinds of CO2 injection flowing rates increase,the pressure increase is more obvious,the initiating cracking time is shorter,the fracture propagation time is shorter and the speed of propagation is faster. However,the length and shape of the fracture do not change significantly. In the process of the fracture propagation,the fracture widens firstly and becomes the diversion channel,and then grows. The stress at the fracture tip increases first and then decreases gradually. The fracture stops expanding at last.
引文
BelytschkoT,BlackT.1999.Elasticcrack growth in finite elements with minimal remeshing[J].International Journal for Numerical Methods in Engineering,45(5):601-620.
Chen D X,Pang X Q,Jiang Z X.2002.The actuality and developing trend in study on the accumulation mechanism of the lens reservior[J].Advance in Earth Sciences,17(6):871-876.
Chen Z.2013.An ABAQUS implementation of the XFEM for hydraulic fracture problems[M].Effective and Sustainable Hydraulic Fracturing.Australia:In Tech.
Cui Z D,Li X,Liu D A,et al.2018.In-situ observation of en echelon intermittent cracks of shale in micro-nano scale[J].Journal of Engineering Geology,26(1):85-90.
Cui Z D,Liu D A,Zeng R S,et al.2013.Resistance of caprock to hydraulic fracturing due to CO2injection into sand lens reservoirs[J].Engineering Geology,164:146-154.
Cui Z D,Liu D A,Zeng R S,et al.2010.Fracture resistance analysis on the cap rock of the sand lens reservoir due to carbon dioxide injection and storage[J].Journal of Engineering Geology,18(2):204-210.
Cui Z D,Liu D A,Zeng R S,et al.2011.Potential geological and environmental risks and its prevention measures for CO2geological storage projects[J].Geological Review,57(5):700-706.
Gong D G,Qu Z Q,Li J X,et al.2016.Extended finite element simulation of hydraulic fracture based on ABAQUS platform[J].Rock and Soil Mechanics,37(5):1512-1520.
Hao R S,Zhang Y J,Li X G,et al.2015.Numerical modeling of ground surface deformation in the process of CO2geological storage[J].Journal of Engineering Geology,23(S1):320-326.
Hawkes C D,Mclellan P J,Zimmer U,et al.2004.Geomechanical Factors Affecting Geological Storage of CO2in Depleted Oil and Gas Reservoirs[J].Journal of Canadian Petroleum Technology,44(10):52-61.
Hu J Y,Xu S B,Liu S X,et al.1986.Non-structural reserviors[M].Beijing:Petrolum Industry Press:81-83.
Hu Y J,Wang W,Ren J,et al.2016.Effect of CO2geological sequestration in deep saline aquifer on formation pressure environment[J].Journal of Hohai University(Natural Sciences),44(6):512-518.
Li C H,Chen M,Jin Y,et al.2003.Simulating experiment research for hydraulic fracturing in layered media[C]//Chinese Society for Rock Mechanics and Engineering,et al.Proceedings of the seventh national conference on geotechnical and engineering.Xi'an:[s.n.].
Li L X,Wang T J.2005.The extended finite element method and its applications[J].Advances in Mechanics,35(1):5-20.
Li M C,Shan X Q,Ma C H,et al.2007.Dynamics of sand lens reservoir[J].Oil&Gas Geology,28(2):209-215.
Li X P,Wang B,Zhou G L.2012.Research on distribution rule of geostress in deep stratum in Chinese mainland[J].Chinese Journal of Rock Mechanics&Engineering,31(S1):2875-2880.
Li Z W,Dong M Z,Li S L,et al.2006.CO2sequestration in depleted oil and gas reservoirs-caprock characterization and storage capacity[J].Energy Conversion&Management,47(11-12):1372-1382.
Liu S X,Hu Q X,Zhang Y.1998.Theoretical study on the length of crack propagation[J].Coal Mine Blasting,(2):17-19.
Metz B,Benson S,Cook P,et al.2005.IPCC special reporton carbon dioxide capture and storage[D].New York:Cambridge University Press.
Osher S,Sethian J A.1988.Fronts propagating with curvature dependent speed:Algorithms based on Hamilton-Jacobi formulations[J].Journal of Computational Physics,79(1):12-49.
Page B.2017.The Global Status of CCS[D].Melbourne:Global CCSInstitute.
Pan P Z,Feng X T,Xu D P,et al.2011.Modelling fluid flow through a single fracture with different contacts using cellular automata[J].Computers&Geotechnics,38(8):959-969.
Pang X Q,Jiang Z X,Li J Q,et al.2000.Geologic thresholds in the process of forming oil and gas reservoir and their functions of controlling petroleum[J].Journal of the University of Petroleum,China(Edition of Natural Science),24(4):53-57.
Raza A,Rezaee R,Gholami R,et al.2015.Injectivity and quantification of capillary trapping for CO2storage:a review of influencing parameters[J].Journal of Natural Gas Science and Engineering,26:510-517.
Shan X J,Zhang S C,Li A Q,et al.2005.Analyzing the fracture extended law of hydraulic fracturing in coalbed gas wells[J].Natural Gas Industry,25(1):130-132.
Wang H Y.2015.Numerical modeling of non-planar hydraulic fracture propagation in brittle and ductile rocks using XFEM with cohesivezone method[J].Journal of Petroleum Science and Engineering,135:127-140.
Wang J T,Sun B J,Liu Y,et al.2015.Simulation study of two phase flow between supercritical carbon dioxide and proppants in the fracture[C]//National Institute of hydrodynamics,et al.The twenty-seventh National Symposium on hydrodynamics.Nanjing:[s.n.].
Wang X H,Yao W X.2012.Progress in research on the FEA models of adhesively bonded composite joints[J].Advances in Mechanics,42(5):562-571.
Wu X Z,Cui Y J.2010.Study on 0.1 mt·a-1CO2sequestration in saline formation[J].Acta Petrolei Sinica,26(S1):236-239.
Yu T T.2014.The extended finite element method:Theory、Application and Program[M].Beijing:Science Press.
Zang Y Q,Gao Z J,Zhong W.2012.Overview of research and application of CO2geological sequestration at home and abroad[J].Journal of Environmental Engineering Technology,2(6):503-507.
Zhang R L,Winterfeld P H,Yin X L,et al.2015.Sequentially coupled THMC model for CO2geological sequestration intoa 2Dheterogeneous saline aquifer[J].Journal of Natural Gas Science and Engineering,27:579-615.
Zhang R S,Wang Q,Zhang Z G,et al.2012.Research of ABAQUSnumerical simulation of 3D fracture propagation in hydraulic fracturing process[J].Oil Drilling&Production Technology,34(6):69-72.
Zhang Y F,Fu G,Yu J C.2000.Accumulation mechanism of sand lens reservoir and its generation model[J].Fault-Block Oil and Gas Field,7(2):12-14.
Zhang Y L,Liu J J,Zeng L F.2001.Study of the mechanism of crack instability propagation in reservoir during oil developing[J].Journal of Liaoning Technical University(Natural Science),20(4):546-547.
Zhao H J,Ma F S,Liu G,et al.2016.Influence of different scales of structural planes on propagation mechanism of hydraulic fractureing[J].Journal of Engineering Geology,24(5):992-1007.
Zhao H J,Ma F S,Liu G,et al.2017.Numerical study of hydraulic fracturing in heterogeneous rocks under different hydraulic loading conditions[J].Journal of Engineering Geology,25(5):1328-1335.
Zhao W Z,Zou C N,Gu Z D,et al.2007.Preliminary discussion on accumulation mechanism of sand lens reservoirs[J].Petroleum Exploration and Development,34(3):273-284.
Zhao Z H,Li X,Zhang B,et al.2016.Experimental study on supercritical CO2fracturing[J].Natural Gas Exploration&Development,39(2):58-63.
Zhuang Z,Liu Z L,Cheng B B,et al.2015.Extended Finite Element Method[M].Beijing:Tsinghua University Press.
Zoback D.2012.Reservoir Geomechanics[M].Beijing:Petroleum Industry Press:247-252.
陈冬霞,庞雄奇,姜振学.2002.透镜体油气成藏机理研究现状与发展趋势[J].地球科学进展,17(6):871-876.
崔振东,李晓,刘大安,等.2018.页岩微纳观尺度雁列式断续裂纹的原位观测[J].工程地质学报,26(1):85-90.
崔振东,刘大安,曾荣树,等.2011.CO2地质封存工程的潜在地质环境灾害风险及防范措施[J].地质论评,57(5):700-706.
崔振东,刘大安,曾荣树,等.2010.二氧化碳在砂岩透镜体中充注封存的盖层岩石抗断裂性能分析[J].工程地质学报,18(2):204-210.
龚迪光,曲占庆,李建雄,等.2016.基于ABAQUS平台的水力裂缝扩展有限元模拟研究[J].岩土力学,37(5):1512-1520.
郝术仁,张延军,李晓光,等.2015.CO2地质储存过程中的地表变形数值模拟研究[J].工程地质学报,23(S1):320-326.
胡见义,徐树宝,刘淑萱,等.1986.非构造油气藏[M].北京:石油工业出版社:81-83.
胡叶军,王蔚,任杰,等.2016.深部咸水层CO2地质封存对地层压力环境的影响[J].河海大学学报(自然科学版),44(6):512-518.
李传华,陈勉,金衍.2003.层状介质水力压裂模拟实验研究[C]//中国岩石力学与工程学会等.中国岩石力学与工程学会第7次学术大会论文集.西安:[出版者不详].
李录贤,王铁军.2005.扩展有限元法(XFEM)及其应用[J].力学进展,35(1):5-20.
李明诚,单秀琴,马成华,等.2007.砂岩透镜体成藏的动力学机制[J].石油与天然气地质,28(2):209-215.
李新平,汪斌,周桂龙.2012.我国大陆实测深部地应力分布规律研究[J].岩石力学与工程学报,31(S1):2875-2880.
刘圣贤,胡清祥,张勇.1998.爆生裂缝扩展长度的理论研究[J].煤矿爆破,(2):17-19.
庞雄奇,姜振学,李建青,等.2000.油气成藏过程中的地质门限及其控制油气作用[J].石油大学学报(自然科学版),24(4):53-57.
单学军,张士诚,李安启,等.2005.煤层气井压裂裂缝扩展规律分析[J].天然气工业,25(1):130-132.
王金堂,孙宝江,刘云,等.2015.裂缝内超临界二氧化碳携带支撑剂两相流动数值模拟研究[C]//全国水动力学研讨会.第二十七届全国水动力学研讨会论文集.南京:[出版者不详].
王孝慧,姚卫星.2012.复合材料胶接结构有限元分析方法研究进展[J].力学进展,42(5):562-571.
吴秀章,崔永君.2010.神华10万t/a CO2盐水层封存研究[J].石油学报(石油加工),26(S1):236-239.
余天堂.2014.扩展有限单元法:理论、应用及程序[M].北京:科学出版社:1-5.
臧雅琼,高振记,钟伟.2012.CO2地质封存国内外研究概况与应用[J].环境工程技术学报,2(6):503-507.
张汝生,王强,张祖国,等.2012.水力压裂裂缝三维扩展ABAQUS数值模拟研究[J].石油钻采工艺,34(6):69-72.
张永利,刘建军,曾流芳.2001.注水开发中储层裂缝失稳扩展的力学机理[J].辽宁工程技术大学学报(自然科学版),20(4):546-547.
张云峰,付广,于建成,等.2000.砂岩透镜体油藏聚油机理及成藏模式[J].断块油气田,7(2):12-14.
赵海军,马凤山,刘港,等.2016.不同尺度岩体结构面对页岩气储层水力压裂裂缝扩展的影响[J].工程地质学报,24(5):992-1007.
赵海军,马凤山,刘港,等.2017.不同水力加载条件下非均质储层缝网扩展规律研究[J].工程地质学报,25(5):1328-1335.
赵文智,邹才能,谷志东,等.2007.砂岩透镜体油气成藏机理初探[J].石油勘探与开发,34(3):273-284.
赵志恒,李晓,张搏,等.2016.超临界二氧化碳无水压裂新技术实验研究展望[J].天然气勘探与开发,39(2):58-63.
佐白科.2012.储层地质力学[M].北京:石油工业出版社:247-252.
Chen D X,Pang X Q,Jiang Z X.2002.The actuality and developing trend in study on the accumulation mechanism of the lens reservior[J].Advance in Earth Sciences,17(6):871-876.
Chen Z.2013.An ABAQUS implementation of the XFEM for hydraulic fracture problems[M].Effective and Sustainable Hydraulic Fracturing.Australia:In Tech.
Cui Z D,Li X,Liu D A,et al.2018.In-situ observation of en echelon intermittent cracks of shale in micro-nano scale[J].Journal of Engineering Geology,26(1):85-90.
Cui Z D,Liu D A,Zeng R S,et al.2013.Resistance of caprock to hydraulic fracturing due to CO2injection into sand lens reservoirs[J].Engineering Geology,164:146-154.
Cui Z D,Liu D A,Zeng R S,et al.2010.Fracture resistance analysis on the cap rock of the sand lens reservoir due to carbon dioxide injection and storage[J].Journal of Engineering Geology,18(2):204-210.
Cui Z D,Liu D A,Zeng R S,et al.2011.Potential geological and environmental risks and its prevention measures for CO2geological storage projects[J].Geological Review,57(5):700-706.
Gong D G,Qu Z Q,Li J X,et al.2016.Extended finite element simulation of hydraulic fracture based on ABAQUS platform[J].Rock and Soil Mechanics,37(5):1512-1520.
Hao R S,Zhang Y J,Li X G,et al.2015.Numerical modeling of ground surface deformation in the process of CO2geological storage[J].Journal of Engineering Geology,23(S1):320-326.
Hawkes C D,Mclellan P J,Zimmer U,et al.2004.Geomechanical Factors Affecting Geological Storage of CO2in Depleted Oil and Gas Reservoirs[J].Journal of Canadian Petroleum Technology,44(10):52-61.
Hu J Y,Xu S B,Liu S X,et al.1986.Non-structural reserviors[M].Beijing:Petrolum Industry Press:81-83.
Hu Y J,Wang W,Ren J,et al.2016.Effect of CO2geological sequestration in deep saline aquifer on formation pressure environment[J].Journal of Hohai University(Natural Sciences),44(6):512-518.
Li C H,Chen M,Jin Y,et al.2003.Simulating experiment research for hydraulic fracturing in layered media[C]//Chinese Society for Rock Mechanics and Engineering,et al.Proceedings of the seventh national conference on geotechnical and engineering.Xi'an:[s.n.].
Li L X,Wang T J.2005.The extended finite element method and its applications[J].Advances in Mechanics,35(1):5-20.
Li M C,Shan X Q,Ma C H,et al.2007.Dynamics of sand lens reservoir[J].Oil&Gas Geology,28(2):209-215.
Li X P,Wang B,Zhou G L.2012.Research on distribution rule of geostress in deep stratum in Chinese mainland[J].Chinese Journal of Rock Mechanics&Engineering,31(S1):2875-2880.
Li Z W,Dong M Z,Li S L,et al.2006.CO2sequestration in depleted oil and gas reservoirs-caprock characterization and storage capacity[J].Energy Conversion&Management,47(11-12):1372-1382.
Liu S X,Hu Q X,Zhang Y.1998.Theoretical study on the length of crack propagation[J].Coal Mine Blasting,(2):17-19.
Metz B,Benson S,Cook P,et al.2005.IPCC special reporton carbon dioxide capture and storage[D].New York:Cambridge University Press.
Osher S,Sethian J A.1988.Fronts propagating with curvature dependent speed:Algorithms based on Hamilton-Jacobi formulations[J].Journal of Computational Physics,79(1):12-49.
Page B.2017.The Global Status of CCS[D].Melbourne:Global CCSInstitute.
Pan P Z,Feng X T,Xu D P,et al.2011.Modelling fluid flow through a single fracture with different contacts using cellular automata[J].Computers&Geotechnics,38(8):959-969.
Pang X Q,Jiang Z X,Li J Q,et al.2000.Geologic thresholds in the process of forming oil and gas reservoir and their functions of controlling petroleum[J].Journal of the University of Petroleum,China(Edition of Natural Science),24(4):53-57.
Raza A,Rezaee R,Gholami R,et al.2015.Injectivity and quantification of capillary trapping for CO2storage:a review of influencing parameters[J].Journal of Natural Gas Science and Engineering,26:510-517.
Shan X J,Zhang S C,Li A Q,et al.2005.Analyzing the fracture extended law of hydraulic fracturing in coalbed gas wells[J].Natural Gas Industry,25(1):130-132.
Wang H Y.2015.Numerical modeling of non-planar hydraulic fracture propagation in brittle and ductile rocks using XFEM with cohesivezone method[J].Journal of Petroleum Science and Engineering,135:127-140.
Wang J T,Sun B J,Liu Y,et al.2015.Simulation study of two phase flow between supercritical carbon dioxide and proppants in the fracture[C]//National Institute of hydrodynamics,et al.The twenty-seventh National Symposium on hydrodynamics.Nanjing:[s.n.].
Wang X H,Yao W X.2012.Progress in research on the FEA models of adhesively bonded composite joints[J].Advances in Mechanics,42(5):562-571.
Wu X Z,Cui Y J.2010.Study on 0.1 mt·a-1CO2sequestration in saline formation[J].Acta Petrolei Sinica,26(S1):236-239.
Yu T T.2014.The extended finite element method:Theory、Application and Program[M].Beijing:Science Press.
Zang Y Q,Gao Z J,Zhong W.2012.Overview of research and application of CO2geological sequestration at home and abroad[J].Journal of Environmental Engineering Technology,2(6):503-507.
Zhang R L,Winterfeld P H,Yin X L,et al.2015.Sequentially coupled THMC model for CO2geological sequestration intoa 2Dheterogeneous saline aquifer[J].Journal of Natural Gas Science and Engineering,27:579-615.
Zhang R S,Wang Q,Zhang Z G,et al.2012.Research of ABAQUSnumerical simulation of 3D fracture propagation in hydraulic fracturing process[J].Oil Drilling&Production Technology,34(6):69-72.
Zhang Y F,Fu G,Yu J C.2000.Accumulation mechanism of sand lens reservoir and its generation model[J].Fault-Block Oil and Gas Field,7(2):12-14.
Zhang Y L,Liu J J,Zeng L F.2001.Study of the mechanism of crack instability propagation in reservoir during oil developing[J].Journal of Liaoning Technical University(Natural Science),20(4):546-547.
Zhao H J,Ma F S,Liu G,et al.2016.Influence of different scales of structural planes on propagation mechanism of hydraulic fractureing[J].Journal of Engineering Geology,24(5):992-1007.
Zhao H J,Ma F S,Liu G,et al.2017.Numerical study of hydraulic fracturing in heterogeneous rocks under different hydraulic loading conditions[J].Journal of Engineering Geology,25(5):1328-1335.
Zhao W Z,Zou C N,Gu Z D,et al.2007.Preliminary discussion on accumulation mechanism of sand lens reservoirs[J].Petroleum Exploration and Development,34(3):273-284.
Zhao Z H,Li X,Zhang B,et al.2016.Experimental study on supercritical CO2fracturing[J].Natural Gas Exploration&Development,39(2):58-63.
Zhuang Z,Liu Z L,Cheng B B,et al.2015.Extended Finite Element Method[M].Beijing:Tsinghua University Press.
Zoback D.2012.Reservoir Geomechanics[M].Beijing:Petroleum Industry Press:247-252.
陈冬霞,庞雄奇,姜振学.2002.透镜体油气成藏机理研究现状与发展趋势[J].地球科学进展,17(6):871-876.
崔振东,李晓,刘大安,等.2018.页岩微纳观尺度雁列式断续裂纹的原位观测[J].工程地质学报,26(1):85-90.
崔振东,刘大安,曾荣树,等.2011.CO2地质封存工程的潜在地质环境灾害风险及防范措施[J].地质论评,57(5):700-706.
崔振东,刘大安,曾荣树,等.2010.二氧化碳在砂岩透镜体中充注封存的盖层岩石抗断裂性能分析[J].工程地质学报,18(2):204-210.
龚迪光,曲占庆,李建雄,等.2016.基于ABAQUS平台的水力裂缝扩展有限元模拟研究[J].岩土力学,37(5):1512-1520.
郝术仁,张延军,李晓光,等.2015.CO2地质储存过程中的地表变形数值模拟研究[J].工程地质学报,23(S1):320-326.
胡见义,徐树宝,刘淑萱,等.1986.非构造油气藏[M].北京:石油工业出版社:81-83.
胡叶军,王蔚,任杰,等.2016.深部咸水层CO2地质封存对地层压力环境的影响[J].河海大学学报(自然科学版),44(6):512-518.
李传华,陈勉,金衍.2003.层状介质水力压裂模拟实验研究[C]//中国岩石力学与工程学会等.中国岩石力学与工程学会第7次学术大会论文集.西安:[出版者不详].
李录贤,王铁军.2005.扩展有限元法(XFEM)及其应用[J].力学进展,35(1):5-20.
李明诚,单秀琴,马成华,等.2007.砂岩透镜体成藏的动力学机制[J].石油与天然气地质,28(2):209-215.
李新平,汪斌,周桂龙.2012.我国大陆实测深部地应力分布规律研究[J].岩石力学与工程学报,31(S1):2875-2880.
刘圣贤,胡清祥,张勇.1998.爆生裂缝扩展长度的理论研究[J].煤矿爆破,(2):17-19.
庞雄奇,姜振学,李建青,等.2000.油气成藏过程中的地质门限及其控制油气作用[J].石油大学学报(自然科学版),24(4):53-57.
单学军,张士诚,李安启,等.2005.煤层气井压裂裂缝扩展规律分析[J].天然气工业,25(1):130-132.
王金堂,孙宝江,刘云,等.2015.裂缝内超临界二氧化碳携带支撑剂两相流动数值模拟研究[C]//全国水动力学研讨会.第二十七届全国水动力学研讨会论文集.南京:[出版者不详].
王孝慧,姚卫星.2012.复合材料胶接结构有限元分析方法研究进展[J].力学进展,42(5):562-571.
吴秀章,崔永君.2010.神华10万t/a CO2盐水层封存研究[J].石油学报(石油加工),26(S1):236-239.
余天堂.2014.扩展有限单元法:理论、应用及程序[M].北京:科学出版社:1-5.
臧雅琼,高振记,钟伟.2012.CO2地质封存国内外研究概况与应用[J].环境工程技术学报,2(6):503-507.
张汝生,王强,张祖国,等.2012.水力压裂裂缝三维扩展ABAQUS数值模拟研究[J].石油钻采工艺,34(6):69-72.
张永利,刘建军,曾流芳.2001.注水开发中储层裂缝失稳扩展的力学机理[J].辽宁工程技术大学学报(自然科学版),20(4):546-547.
张云峰,付广,于建成,等.2000.砂岩透镜体油藏聚油机理及成藏模式[J].断块油气田,7(2):12-14.
赵海军,马凤山,刘港,等.2016.不同尺度岩体结构面对页岩气储层水力压裂裂缝扩展的影响[J].工程地质学报,24(5):992-1007.
赵海军,马凤山,刘港,等.2017.不同水力加载条件下非均质储层缝网扩展规律研究[J].工程地质学报,25(5):1328-1335.
赵文智,邹才能,谷志东,等.2007.砂岩透镜体油气成藏机理初探[J].石油勘探与开发,34(3):273-284.
赵志恒,李晓,张搏,等.2016.超临界二氧化碳无水压裂新技术实验研究展望[J].天然气勘探与开发,39(2):58-63.
佐白科.2012.储层地质力学[M].北京:石油工业出版社:247-252.
© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号 地址：北京市海淀区学院路29号 邮编：100083 电话：办公室：(+86 10)66554848；文献借阅、咨询服务、科技查新：66554700 |