基于多尺度数据融合Markov链模型的岩性随机模拟
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摘要
Markov链模型在储层随机建模中发挥着越来越重要的作用,但难以融合岩心、测井、地震等多尺度数据限制了它在实际中的应用。依据前人研究的结果,提出了将多尺度数据融入到Markov链模型中的相关方法和公式,即将大尺度数据作为条件数据以贝叶斯公式表达,同时利用公式将小尺度数据转换为井点硬数据。应用此方法对SL盆地Y地区过井剖面进行的岩性模拟表明,相对于无数据融合的方法,此方法能更加直观、准确地揭示薄岩性层的分布。
The Markov chain models have played a more important role in the reservoir stochastic modeling,but the models are difficult to be integrated with the multi-scale data such as logging,core data and seismic data,which limits the application of the models.A new method and some formula were proposed for integrating the multi-scale data with the Markov chain models.The large-scale data were added into the models and taken as the conditional data,and the small-scale data were used to get exact data of well points by formula.The application of the method to simulate lithology of a section across wells in Y region of SL Basin shows that the fine lithology distribution obtained from the new method is more accurate and distinctive than that of the previous method.
The Markov chain models have played a more important role in the reservoir stochastic modeling,but the models are difficult to be integrated with the multi-scale data such as logging,core data and seismic data,which limits the application of the models.A new method and some formula were proposed for integrating the multi-scale data with the Markov chain models.The large-scale data were added into the models and taken as the conditional data,and the small-scale data were used to get exact data of well points by formula.The application of the method to simulate lithology of a section across wells in Y region of SL Basin shows that the fine lithology distribution obtained from the new method is more accurate and distinctive than that of the previous method.
引文
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[2]刘振峰.基于MRF模型的油气储层属性随机建模方法研究[D].北京:中国科学院研究生院,2004.Liu Zhenfeng.The use of MRF model in stochastic reservoir at-tribute modeling[D].Beijing:Graduate University of Chinese A-cademy of Sciences,2004.
[3]Gli mm J,Sharp D H.Multiscale science:A challenge for thetwenty-first century[J].SI AM News,1997,30(8):1-7.
[4]康毅力,李前贵,张箭,等.多尺度科学及其在油气田开发中的应用研究[J].西南石油大学学报,2007,29(5):177-181.Kang Yili,Li Qiangui,Zhang Jian,et al.Multiscale science andthe application in oil and gas field development[J].Journal ofSouthwest Petroleum University,2007,29(5):177-181.
[5]Tran T T,Deutsch C V,Xie Yulong.Direct geostatistical si mula-tion with multiscale well,seismic,and production data[R].SPE71323,2001.
[6]Lee S H,Malallah A,Datta-Gupta A,et al.Multiscale data inte-gration using Markov randomfields[J].SPE Reservoir Evalua-tion and Engineering,2002,5:68-78.
[7]姚光庆,蔡忠贤.油气储层地质学原理与方法[M].武汉:中国地质大学出版社,2005:116-140.Yao Guangqing,Cai Zhongxian.Principles and methods of oil andgas reservoir geology[M].Wuhan:China University of Geosci-ences Press,2005:116-140.
[8]盛骤,谢式千,潘承毅.概率论与数理统计[M].北京:高等教育出版社,2002:354-367.Sheng Zhou,Xie Shiqian,Pan Chengyi.Probability theory andmathematical statistics[M].Beijing:Higher Education Press,2002:354-367.
[9]Schwarzacher W.Repetitions and cycles in stratigraphy[J].Earth-Science Reviews,2000,50(1/2):51-75.
[10]刘振峰,郝天珧,方辉.用Markov链模型随机模拟储层岩相空间展布[J].石油学报,2005,26(5):57-60.Liu Zhenfeng,Hao Tianyao,Fang Hui.Modeling of stochasticreservoir lithofacies with Markov chain model[J].Acta PetroleiSinica,2005,26(5):57-60.
[11]Li WD.Markov chain randomfields for esti mation of categoricalvariables[J].Mathematical Geology,2007,39(3):321-335.
[12]李汉林,赵永军.石油数学地质[M].东营:石油大学出版社,1998:247-253.Li Hanlin,Zhao Yongjun.Petroleum mathematical geology[M].Dongying:Press of the University of Petroleum,China,1998:247-253.
[13]Norberg T,Rosen L,Baran A,et al.On modeling discrete geolog-ical structures as Markov randomfields[J].Mathematical Geolo-gy,2002,34(1):63-77.
[14]Li W,Li B,Shi Y.Markov-chain si mulation of soil textural pro-files[J].Geoderma,1999,92(1/2):37-53.
[15]Carle S F,Fogg G E.Modeling spatial variability with one andmulti-di mensional continuous Markov chains[J].MathematicalGeology,1997,29(7):891-917.
[16]Elfeki A,Dekking M.A Markov chain model for subsurface char-acterization:Theory and applications[J].Mathematical Geology,2001,33(5):568-589.
[17]张永刚.地震波阻抗反演技术的现状和发展[J].石油物探,2002,41(4):385-389.Zhang Yonggang.The present and future of wave i mpedance in-version technique[J].Geophysical Prospecting for Petroleum,2002,41(4):385-389.
[18]姚逢昌,甘利灯.地震反演的应用与限制[J].石油勘探与开发,2000,27(2):53-58.Yao Fengchang,Gan Lideng.Application and restriction of seis-mic inversion[J].Petroleum Exploration and Development,2000,27(2):53-58.
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