低渗透油藏渗流场与应力场耦合规律研究
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摘要
基于岩石力学、渗流力学、地质力学、计算力学以及流-固耦合渗流的基本理论,考虑低渗透油藏渗流时的启动压力梯度和低渗透储层的流-固耦合特征,建立了低渗透油藏渗流场和应力场耦合的数学模型和数值模型。采用有限差分与有限元相结合的耦合数值计算方法进行了程序设计,研究了低渗透油藏渗流场和应力场的耦合规律。通过数值模拟方法对单井枯竭式开采过程中应力-应变随时间和空间的变化规律、岩石物性参数动态变化规律及开发指标变化规律进行了研究,并和刚性模型的计算结果进行了分析比较。可以看出,低渗透油藏的流-固耦合效应非常明显。
Mathematical and numerical coupling models of seepage and stress fields of low-permeability reservoirs are developed based on the basic theories of rock mechanics,fluid mechanics in porous medium,geologic mechanics,computational mechanics and fluid-solid coupling seepage,and etc,and by taking into consideration of their start-up pressure gradient of seepage flow and characters of fluid-solid coupling.A program is designed by using numerical computing method of coupling with finite difference and finite element integrated,and the coupling law of seepage and stress fields in low-permeability reservoirs is studied.The varying law of stress-strain with time and space,dynamic changing law of rock physical properties,changing pattern of development index in the process of natural depletion of single well are studied through numerical simulation and correlated with the calculation of rigidity model.It is revealed that the fluid-solid coupling effect in low permeability reservoirs is rather obvious.
Mathematical and numerical coupling models of seepage and stress fields of low-permeability reservoirs are developed based on the basic theories of rock mechanics,fluid mechanics in porous medium,geologic mechanics,computational mechanics and fluid-solid coupling seepage,and etc,and by taking into consideration of their start-up pressure gradient of seepage flow and characters of fluid-solid coupling.A program is designed by using numerical computing method of coupling with finite difference and finite element integrated,and the coupling law of seepage and stress fields in low-permeability reservoirs is studied.The varying law of stress-strain with time and space,dynamic changing law of rock physical properties,changing pattern of development index in the process of natural depletion of single well are studied through numerical simulation and correlated with the calculation of rigidity model.It is revealed that the fluid-solid coupling effect in low permeability reservoirs is rather obvious.
引文
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4董平川,徐小荷.储层流固耦合的数学模型及其有限元方程[J].石油学报,1998,19(1):64~70
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14孔祥言,李道伦,徐献芝,等.热流固耦合渗流的数学模型研究[J].水动力学研究与进展(A辑),2005,20(2):269~275
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19游秀玲,张玲,罗云秀.原油采收率影响因素探讨及油藏综合分类[J].石油与天然气地质,2004,25(3):314~318
20王秀娟,赵永胜,文武,等.低渗透储层应力敏感性与产能物性下限[J].石油与天然气地质,2003,24(2):162~166
21冉启全,李士伦.流固耦合油藏数值模拟中物性参数动态模型研究[J].石油勘探与开发,1997,24(3):61~65
22吕成远,王建,孙志刚.低渗透砂岩油藏启动压力梯度实验研究[J].石油勘探与开发,2002,29(2):86~89
2仵彦卿,柴军瑞.裂隙网络岩体三维渗流场与应力场耦合分析[J].西安理工大学学报,2000,16(1):1~5
3冉启全,顾小芸.弹塑性变形油藏中多相渗流的数值模拟[J].计算力学学报,1999,16(1):24~31
4董平川,徐小荷.储层流固耦合的数学模型及其有限元方程[J].石油学报,1998,19(1):64~70
5薛世峰,宋惠珍.非混溶饱和两相渗流与孔隙介质耦合作用的理论研究———数学模型[J].地震地质,1999,21(3):243~252
6薛世峰,宋惠珍.非混溶饱和两相渗流与孔隙介质耦合作用的理论研究———方程解耦与有限元公式[J].地震地质,1999,21(3):253~260
7范学平,李秀生,张士诚,等.低渗透变形介质油气藏渗流流固耦研究[J].新疆石油地质,2001,22(1):76~78
8王自明,江同文,宋文杰,等.弹性气藏中气体渗流的气固热耦合数学模型[J].天然气工业,2003,23(3):85~87
9张烈辉,李允.低渗透气藏流固耦合渗流数值模拟[J].天然气工业,2004,24(10):80~82
10周志军,刘永建,马英健,等.低渗透储层流固耦合渗流理论模型[J].大庆石油学院学报,2002,26(3):29~32
11杨满平.变形介质气藏渗流理论研究的发展及研究意义[J].西南石油学院学报,2003,25(6):23~26,34
12李培超,孔祥言,卢德唐.饱和多孔介质流固耦合渗流的数学模型[J].水动力学研究与进展(A辑),2003,18(4):419~426
13刘建军,刘先贵.开发过程中三场耦合的数学模型[J].特种油气藏,2001,8(2):31~33,37
14孔祥言,李道伦,徐献芝,等.热流固耦合渗流的数学模型研究[J].水动力学研究与进展(A辑),2005,20(2):269~275
15吉小明,王宇会.岩体地下流固耦合理论的研究综述[J].石家庄铁道学院学报,2002,15(2):27~31
16刘建军,冯夏庭.我国油藏渗流-温度-应力耦合的研究进展[J].岩土力学,2003,24(增刊):645~650
17同登科,杨河山.油气流-固耦合渗流研究进展[J].岩石力学与工程学报,2005,24(24):4 594~4 602
18白茅,刘天泉.孔隙裂隙弹性理论及引用导论[M].北京:石油工业出版社,1999:1~5
19游秀玲,张玲,罗云秀.原油采收率影响因素探讨及油藏综合分类[J].石油与天然气地质,2004,25(3):314~318
20王秀娟,赵永胜,文武,等.低渗透储层应力敏感性与产能物性下限[J].石油与天然气地质,2003,24(2):162~166
21冉启全,李士伦.流固耦合油藏数值模拟中物性参数动态模型研究[J].石油勘探与开发,1997,24(3):61~65
22吕成远,王建,孙志刚.低渗透砂岩油藏启动压力梯度实验研究[J].石油勘探与开发,2002,29(2):86~89
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