基于模糊数学和分形理论的水淹层录井评价研究与应用
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摘要
基于非线性数学方法,利用录井信息对储层水淹程度进行综合定量评价,是油藏开发方案设计和提高采收率研究等领域的重要研究内容.本文推导了水淹层录井评价的非线性理论模型,编制了水淹层评价软件.结合密闭取心资料,利用编制的软件对地化分析资料、热蒸发烃色谱资料、定量荧光分析资料、核磁共振录井资料、显微荧光薄片资料的水淹响应特征及规律进行分析研究,得到较好的结果.
Based on non-linear mathematical methods,logging information used to comprehensively evaluate water flooding degree of reservoirs has very important meaning to design development program and enhance recovery factor.Non-linear models and software for water-flooded zone logging evaluation are proposed in this paper.Combining the data of sealing core drilling,the water flooding response feature and law of the data of geochemical analysis,pyrolysis gas chromatography,quantitative fluorescence analysis,nuclear magnetic resonance logging and fluorescent thin-section are analyzed by the established software,and good result are found.
Based on non-linear mathematical methods,logging information used to comprehensively evaluate water flooding degree of reservoirs has very important meaning to design development program and enhance recovery factor.Non-linear models and software for water-flooded zone logging evaluation are proposed in this paper.Combining the data of sealing core drilling,the water flooding response feature and law of the data of geochemical analysis,pyrolysis gas chromatography,quantitative fluorescence analysis,nuclear magnetic resonance logging and fluorescent thin-section are analyzed by the established software,and good result are found.
引文
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[3]慈兴华,向巧玲,陈方鸿,等.定量荧光分析技术在原油性质判别方面的应用探讨——以胜利油区为例[J].石油实验地质,2004,26(1):100-102.Ci X H,Xiang Q L,Chen F H,et al.Application ofquantitative fluorescence analysis to the distinguishment of oilproperties-a case study in shengli oilfield[J].PetroleumGeology&Expeximent(in Chinese),2004,26(1):100-102.
[4]王任一,王前荣,张斌成.水淹层混沌分形识别方法探讨[J].新疆石油地质,2006,27(1):124-126.Wang R Y,Wang Q R,Zhang B C.Approach to identificationmethod for chaos fractal characteristic of water-flooded zone[J].Xinjiang Petroleum Geology(in Chinese),2006,27(1):124-126.
[5]章成广,汪中浩,周曲曼.分形与模糊综合判别新方法识别水淹层[J].石油天然气学报,2007,29(4):87-90.Zhang C G,Wang Z H,Zhou Q M.Identification of water-outzones with a new method of fractal and fuzzy syntheticevaluation[J].Journal of Oil and Gas Technology(inChinese),2007,29(4):87-90.
[6]王向公,周艳敏.模糊综合判别定性划分水淹层[J].测井技术,1999,23(1):46-49.Wang X G,Zhou Y M.Qualitative interpretation of waterflooded zones with fuzzy synthetic judgement method[J].Well Logging Technology(in Chinese),1999,23(1):46-49.
[7]高印军,李才雄,王大兴,等.水淹层测井解释技术研究与应用[J].石油勘探与开发,2001,28(5):42-45.Gao Y J,Li C X,Wang D X,et al.Well logginginterpretation for water flooded zone[J].PetroleumExploration and Development(in Chinese),2001,28(5):42-45.
[8]万金保,李媛媛.模糊综合评价法在鄱阳湖水质评价中的应用[J].上海环境科学,2007,26(5):215-218.Wang J B,Li Y Y.An application of fuzzy comprehensiveevaluation to assessing the water quality of poyang lake[J].Shanghai Environmental Sciences(in Chinese),2007,26(5):215-218.
[9]杨新社.地球物理学中的分形几何特征[J].地球物理学进展,1991,6(3):78-87.
[10]郁伯铭.多孔介质输运性质的分形分析研究进展[J].力学进展,2003,33(3):333-346.Yu B M.Advances of fractal analysis of transport propertiesfor porous media[J].Advances in Mechanics(in Chinese),2003,33(3):333-346.
[11]Mandelbrot B B.The Fractal Geometry of Nature[M].NewYork:W.H.Freeman,1982.
[12]张华,胡祥云,李强.分形及其在地震研究中的应用[J].防灾科技学院学报,2007(01):63-68,135.Zhang H,Hu X Y,Li Q.Fractal and its application inseismic study[J].Journal of Institute of Disaster-PreventionScience and Technology(in Chinese),2007(01):63-68,135.
[13]侯贵廷.储层非均匀性的分形表征技术[J].地质科技情报,1993,12(3):78-81.Hou G T.Fractal description of reservoir heterogeneity[J].Geological Science and Technology Information(in Chinese),1993,12(3):78-81.
[14]牛志仁,施行觉.岩石分形断裂的统计理论[J].地球物理学报,1992,35(5):594-603.Niu Z R,Shi X J.Statistical theory of rock fractal fracture[J].Chinese J.Geophys.(in Chinese),1992,35(5):594-603.
[15]施行觉,牛志仁,许和明,等.岩石断面的分形测量及其分维的计算[J].地球物理学报,1992,35(2):154-159.Shi X J,Niu Z R,Xu H M,et al.The fractal dimension ofthe fractured surface of rocks[J].Chinese J.Geophys.(inChinese),1992,35(2):154-159.
[16]李信富,李小凡.分形插值地震数据重建方法研究[J].地球物理学报,2008,51(4):1196-1201.Li X F,Li X F.Seismic data reconstruction with fractalinterpolation[J].Chinese J.Geophys.(in Chinese),2008,51(4):1196-1201.
[17]李信富,李小凡.基于显式垂直比例因子的显式分形插值地震数据重建[J].地球物理学进展,2008,23(4):1085-1091.Li X F,Li X F.Seismic data reconstruction by explicit fractalinterpolation based on explicit vertical scaling factors[J].Progress in Geophysics(in Chinese),2008,23(4):1085-1091.
[18]李庆谋,刘少华.地球物理信号能量(密度)多维分形及应用[J].地球物理学进展,2001,16(1):24-30.LI Q M,Liu S H.Multi-fractal and application ofgeophysical data.Progress in Geophysics(in Chinese),2001,16(1):24-30.
[19]李庆谋,刘少华.GIS环境下地球物理信号的奇异值分解、多维分形特征与应用[J].地球物理学进展,2003,18(1):97-102.Li Q M,Liu S H.Geophysical signal decomposition bysingular method and application in GIS.Progress inGeophysics(in Chinese),2003,18(1):97-102.
[20]Cai J C,Yu B M,Zou M Q et al.Fractal characterization ofspontaneous co-current imbibition in porous media[J].Energy&Fuels,2010,24(3):1860-1867.
[21]Cai J C,Yu B M,Mei M F et al.Capillary rise in a singletortuous capillary[J].Chinese Physics Letters.,2010,27(5):054701.
[22]Cai J C,Yu B M,Zou M Q et al.Fractal analysis of invasiondepth of extraneous fluids in porous media[J].ChemicalEngineering Science,2010,65(18):5178-5186.
[23]Cai J C,Yu B M.Prediction of maximum pore size of porousmedia based on fractal geometry[J].Fractals,2010,18(4):417-423.
[24]Cai J C,Yu B M.A discussion of the effect of tortuosity onthe capillary imbibition in porous media[J].Transport inPorous Media,2011,89(2):251-263.
[25]张超谟,陈振标,张占松,等.基于核磁共振T2谱分布的储层岩石孔隙分形结构研究[J].石油天然气学报,2007,29(4):80-86.Zhang C M,Zhang Z B,Zhang Z X,et al.Characteristics ofreservoir rock pore structure based on NMR T2distribution[J].Journal of Oil and Gas Technology(in Chinese),2007,29(4):80-86.
[26]陈振标,张超谟,张占松,等.利用NMRT2谱分布研究储层岩石孔隙分形结构[J].岩性油气藏,2008,20(1):105-110.Zhang Z B,Zhang C M,Zhang Z X,et al.Using NMR T2spectrum distribution to study fractal nature of pore structure[J].Lithologic Reservoirs(in Chinese),2008,20(1):105-110.
[27]Yu B M,Cheng P.A fractal permeability model for bi-dispersed porous media[J].International Journal of Heatand Mass Transfer,2002,45(14):2983-2993.
[2]郎东升,耿长喜,岳兴举,等.水淹层的井壁取心地化热解评价方法[J].大庆石油地质与开发,2004,23(3).Lang D S,Geng C S,Yue X Q,et al.Geochemical pyrolysisevaluation method of sidewall core in waterflooded zones[J].Petroleum Geology&Oilfield Development in Daqing(inChinese),2004,23(3).
[3]慈兴华,向巧玲,陈方鸿,等.定量荧光分析技术在原油性质判别方面的应用探讨——以胜利油区为例[J].石油实验地质,2004,26(1):100-102.Ci X H,Xiang Q L,Chen F H,et al.Application ofquantitative fluorescence analysis to the distinguishment of oilproperties-a case study in shengli oilfield[J].PetroleumGeology&Expeximent(in Chinese),2004,26(1):100-102.
[4]王任一,王前荣,张斌成.水淹层混沌分形识别方法探讨[J].新疆石油地质,2006,27(1):124-126.Wang R Y,Wang Q R,Zhang B C.Approach to identificationmethod for chaos fractal characteristic of water-flooded zone[J].Xinjiang Petroleum Geology(in Chinese),2006,27(1):124-126.
[5]章成广,汪中浩,周曲曼.分形与模糊综合判别新方法识别水淹层[J].石油天然气学报,2007,29(4):87-90.Zhang C G,Wang Z H,Zhou Q M.Identification of water-outzones with a new method of fractal and fuzzy syntheticevaluation[J].Journal of Oil and Gas Technology(inChinese),2007,29(4):87-90.
[6]王向公,周艳敏.模糊综合判别定性划分水淹层[J].测井技术,1999,23(1):46-49.Wang X G,Zhou Y M.Qualitative interpretation of waterflooded zones with fuzzy synthetic judgement method[J].Well Logging Technology(in Chinese),1999,23(1):46-49.
[7]高印军,李才雄,王大兴,等.水淹层测井解释技术研究与应用[J].石油勘探与开发,2001,28(5):42-45.Gao Y J,Li C X,Wang D X,et al.Well logginginterpretation for water flooded zone[J].PetroleumExploration and Development(in Chinese),2001,28(5):42-45.
[8]万金保,李媛媛.模糊综合评价法在鄱阳湖水质评价中的应用[J].上海环境科学,2007,26(5):215-218.Wang J B,Li Y Y.An application of fuzzy comprehensiveevaluation to assessing the water quality of poyang lake[J].Shanghai Environmental Sciences(in Chinese),2007,26(5):215-218.
[9]杨新社.地球物理学中的分形几何特征[J].地球物理学进展,1991,6(3):78-87.
[10]郁伯铭.多孔介质输运性质的分形分析研究进展[J].力学进展,2003,33(3):333-346.Yu B M.Advances of fractal analysis of transport propertiesfor porous media[J].Advances in Mechanics(in Chinese),2003,33(3):333-346.
[11]Mandelbrot B B.The Fractal Geometry of Nature[M].NewYork:W.H.Freeman,1982.
[12]张华,胡祥云,李强.分形及其在地震研究中的应用[J].防灾科技学院学报,2007(01):63-68,135.Zhang H,Hu X Y,Li Q.Fractal and its application inseismic study[J].Journal of Institute of Disaster-PreventionScience and Technology(in Chinese),2007(01):63-68,135.
[13]侯贵廷.储层非均匀性的分形表征技术[J].地质科技情报,1993,12(3):78-81.Hou G T.Fractal description of reservoir heterogeneity[J].Geological Science and Technology Information(in Chinese),1993,12(3):78-81.
[14]牛志仁,施行觉.岩石分形断裂的统计理论[J].地球物理学报,1992,35(5):594-603.Niu Z R,Shi X J.Statistical theory of rock fractal fracture[J].Chinese J.Geophys.(in Chinese),1992,35(5):594-603.
[15]施行觉,牛志仁,许和明,等.岩石断面的分形测量及其分维的计算[J].地球物理学报,1992,35(2):154-159.Shi X J,Niu Z R,Xu H M,et al.The fractal dimension ofthe fractured surface of rocks[J].Chinese J.Geophys.(inChinese),1992,35(2):154-159.
[16]李信富,李小凡.分形插值地震数据重建方法研究[J].地球物理学报,2008,51(4):1196-1201.Li X F,Li X F.Seismic data reconstruction with fractalinterpolation[J].Chinese J.Geophys.(in Chinese),2008,51(4):1196-1201.
[17]李信富,李小凡.基于显式垂直比例因子的显式分形插值地震数据重建[J].地球物理学进展,2008,23(4):1085-1091.Li X F,Li X F.Seismic data reconstruction by explicit fractalinterpolation based on explicit vertical scaling factors[J].Progress in Geophysics(in Chinese),2008,23(4):1085-1091.
[18]李庆谋,刘少华.地球物理信号能量(密度)多维分形及应用[J].地球物理学进展,2001,16(1):24-30.LI Q M,Liu S H.Multi-fractal and application ofgeophysical data.Progress in Geophysics(in Chinese),2001,16(1):24-30.
[19]李庆谋,刘少华.GIS环境下地球物理信号的奇异值分解、多维分形特征与应用[J].地球物理学进展,2003,18(1):97-102.Li Q M,Liu S H.Geophysical signal decomposition bysingular method and application in GIS.Progress inGeophysics(in Chinese),2003,18(1):97-102.
[20]Cai J C,Yu B M,Zou M Q et al.Fractal characterization ofspontaneous co-current imbibition in porous media[J].Energy&Fuels,2010,24(3):1860-1867.
[21]Cai J C,Yu B M,Mei M F et al.Capillary rise in a singletortuous capillary[J].Chinese Physics Letters.,2010,27(5):054701.
[22]Cai J C,Yu B M,Zou M Q et al.Fractal analysis of invasiondepth of extraneous fluids in porous media[J].ChemicalEngineering Science,2010,65(18):5178-5186.
[23]Cai J C,Yu B M.Prediction of maximum pore size of porousmedia based on fractal geometry[J].Fractals,2010,18(4):417-423.
[24]Cai J C,Yu B M.A discussion of the effect of tortuosity onthe capillary imbibition in porous media[J].Transport inPorous Media,2011,89(2):251-263.
[25]张超谟,陈振标,张占松,等.基于核磁共振T2谱分布的储层岩石孔隙分形结构研究[J].石油天然气学报,2007,29(4):80-86.Zhang C M,Zhang Z B,Zhang Z X,et al.Characteristics ofreservoir rock pore structure based on NMR T2distribution[J].Journal of Oil and Gas Technology(in Chinese),2007,29(4):80-86.
[26]陈振标,张超谟,张占松,等.利用NMRT2谱分布研究储层岩石孔隙分形结构[J].岩性油气藏,2008,20(1):105-110.Zhang Z B,Zhang C M,Zhang Z X,et al.Using NMR T2spectrum distribution to study fractal nature of pore structure[J].Lithologic Reservoirs(in Chinese),2008,20(1):105-110.
[27]Yu B M,Cheng P.A fractal permeability model for bi-dispersed porous media[J].International Journal of Heatand Mass Transfer,2002,45(14):2983-2993.
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