骨架、流体信息反演统计方法应用
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摘要
地震数据资料、岩石物理学和数学上统计方法的结合,有助于定量解析地震数据资料,减少岩石骨架、流体信息预测的风险性.本文基于典型砂岩样品(韩德华的P组砂岩样品)数据,把临界孔隙流体介质模型和数学统计方法相结合,从可测的岩石整体密度速度信息直接反演岩石骨架和流体的密度、速度信息,所得反演信息符合实际情况,证明了方法的可行性.另外,本文基于临界孔隙流体介质模型对反演信息进行了正演研究,所得计算密度与实测密度之间的相对误差基本小于0.02,所得计算速度与实测速度之间的相对误差基本小于0.1,证明了该方法效果好,具有较强的应用价值.
The combination of seismic data,rock physics and mathematical statistics helps quantitative interpretation of the seismic data,and reduces the risk of reservoir framwork and fluid prediction.Based on typical sandstone data,we combine the critical pore fluid medium model and mathematical statistic method,then directly inverse density and velocity of rock framework and fluid from measured effective density and velocity.The typical sandstone samples cite P group sandstoneis provided by De-hua Han of physics lab of University of Houston of American.We can prove that the inversion result is suitable for practical condition.In addition,we make forward research to the inversion result through critical pore fluid medium model.The result shavs that the relative error between calaulated and measured density if less than 0.02,and the relative error between calculated and measured velocity is less than 0.1,which proves that the effect of this method is good,and this method has stronger application value.The proposed method of matrix and fluid information inversion statistics in this paper concludes ergodic group statistical analysis of the whole sample and the single sample.Ergodic group statistical analysis of the whole sample reflects sample's intercommunity.Ergodic group statistical analysis of the single sample reflects sample's difference,whose correlation coefficient is higher than correlation coefficient of ergodic group statistical analysis of the whole sample.
The combination of seismic data,rock physics and mathematical statistics helps quantitative interpretation of the seismic data,and reduces the risk of reservoir framwork and fluid prediction.Based on typical sandstone data,we combine the critical pore fluid medium model and mathematical statistic method,then directly inverse density and velocity of rock framework and fluid from measured effective density and velocity.The typical sandstone samples cite P group sandstoneis provided by De-hua Han of physics lab of University of Houston of American.We can prove that the inversion result is suitable for practical condition.In addition,we make forward research to the inversion result through critical pore fluid medium model.The result shavs that the relative error between calaulated and measured density if less than 0.02,and the relative error between calculated and measured velocity is less than 0.1,which proves that the effect of this method is good,and this method has stronger application value.The proposed method of matrix and fluid information inversion statistics in this paper concludes ergodic group statistical analysis of the whole sample and the single sample.Ergodic group statistical analysis of the whole sample reflects sample's intercommunity.Ergodic group statistical analysis of the single sample reflects sample's difference,whose correlation coefficient is higher than correlation coefficient of ergodic group statistical analysis of the whole sample.
引文
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[15]孙晟,牛滨华.线弹性各向同性组分孔隙介质模型的理论研究[J].中国地球物理学会第22届年会论文集,2006. Sun S,Niu B H.The Theory Study of Isotropic Constituent Porous Medium Model[J].The 22th Annual Meeting,The Chinese Geophysics,2006.
[16]孙晟.组分孔隙介质模型及其地震波传播理论研究[D].北京:中国地质大学,2007. Sun S.Theory of Constituent Porous Medium Model and Seismic Wave Propagation[D].Beijing:China University of Geosciences,2007.
[17]Niu B h,Sun C Y,Yan G Y,et al.Linear numerical calculation method for obtaining critical point,pore fluid,and frame work parameters of gas bearing media[J].Applied Geophysics,2009,6(4):319-326.
[18]Li X W,Wang J D,Hu B X,et al.On utilization of a priori knowledge in inversion of remote sensing models[J].Science in China,1998,41(6):580-585.
[19]杨文采.线性地球物理反演方法回顾与展望[J].地球物理学进展,2002,7(2):255-261. Yang W C.Nonlinear Geophysical Inversion Methods: Review and Perspective[J].Progress in Geophysics,2002,7 (2):255-261.
[20]刘恩儒,岳建华,刘彦.具有离散裂缝空间分布的二维固体中地震波传播的有限差分模拟.地球物理学报,2006,49(1): 180-188. Liu E R,Yue J H,Liu Y.Finite difference simulation of seismic wave propagation in 2 _D solids with spatial distribution of discrete fractures[J].Chinese Journal of Geophysice,2006,49(1):180-188.
[21]张数球,邓峋康.地质统计学及其在油气田开发中的应用[J].新疆石油地质,1990,11(2):149-156. Zhang S Q,Deng X K.Geological Statistics and Its Application in Development of Oil and Gas Fields[J]. Xinjiang petroleum Geology,1990,11(2):149-156.
[22]马中高,邓道静.岩石物理性质研究技术[J].勘探地球物理进展,2003,26(5-6):387-401. Ma Z G,Deng D J.Research in rock physical properties[J]. Progress in Exploration Geophysics,2003,26(5-6):387-401.
[23]张璐.基于岩石物理的地震储层预测方法应用研究[D].北京:中国石油大学,2009. Zhang 1.Application of Rock Physics Theory in Seismic Reservoir Prediction[D].Beijing:China University of Petroleum,2009.
[24]曹向阳,张金淼,张剑锋.应用统计岩石物理技术降低地震解释风险[J].中国地球物理,2009第25届年会.中国科学技术大学出版社,2009. Cao X Y,Zhang J M,Zhang J F.Applying Statistical Rock Physics Technology to Reduce Interpretation risk[J].The Chinese Geophysics,The 20th Annual Meeting.The University of Science and Technology of China Press,2009.
[25]De-hua Han,A.Nur,Dale Morgani.Effects of porosity and clay content on wave velocities in sandstones[J]. Geophysice,1986,51(11):2093-2107.
[26](美)葛瑞·马沃可等编著,徐海滨等审校.岩石物理手册:孔隙介质中地震分析工具[M].中国科学技术大学出版社, 2008. Mavko G,et al.The Rock Physics Handbook:Tools for Seismic Analysis in Porous Media[M].University of Science and Technology of China Press,2008.
[2]Diallo M S,Appel E.Acoustic wave propagation in saturated porous media:reformulation of the Biot/Squirt flow theory [J].Applied Geophysics,2000,44(4):313-325.
[3]杨顶辉,陈小宏.含流体多孔介质的BISQ模[J].石油地球物理勘探,2001,36(2):146-159. Yang D H,Chen X H.BISQ model for fluid-filled,porous medium[J].OGP,2001,36(2):146-159.
[4]聂建新,杨顶辉,杨慧珠.基于非饱和多孔隙介质BISQ模型的储层参数反演.地球物理学报,2004,47(6):1101-1105. Nie J X,Yang D H,Yang H Z.Inversion of reservoir parameters based on the BISQ model in partially saturated porous media[J].Chinese Journal of Geophysice,2004,47 (6):1101-1105.
[5]王东,张海澜,王秀明.部分饱和孔隙岩石中声波传播数值研究[J].地球物理学报,2006,49(2):524-532. Wang D,Zhang H L,Wang X M.A numerical study of acoustic wave propagation in partially saturated pore elastic rock[J]. Chinese Journal of Geophysice,2006,49(2):524-532.
[6]Wang Z,Nur A.Seismic and acoustic velocities in reservoir rocks[J].Tulsa,SEG,1988.
[7]Nur A.Critical porosity and the seismic velocity in rocks[J]. EOS Trans Am Geophysical Union,1992,73(1).
[8]Wang Z,Nur A.Seismic and acoustic velocities in reservoir rocks[J].Tulsa:SEG,1992.
[9]Nur A,Marko G,Dvorkin J,et al.Critical porosity:A key to relating physical properties to porosity in rocks[J]. TheLeading Edge,1998,17(3):357-362.
[10]Nur A,Mavko G,Dvorkin J.Critical porosity:A key to relating physical properties to porosity in rocks[J].The Leading Edge,1998.
[11]Wang Z,Nur A.Seismic and acoustic velocities in reservoir rocks[J].Tulsa:SEG,2000.
[12]牛滨华,孙春岩.地震波理论研究进展—介质模型与地震波传播[J].地球物理学进展,2004,19(2):255-263. Niu B H,Sun C Y.Developing theory of propagation of seismic waves-medium model and propagation of seismic waves[J].Progress in Geophysics,2004,19(2):255-263.
[13]牛滨华,徐天吉,孙春岩.弹性组分孔隙流体介质及其速度参数研究[J].中国地球物理,2004第20届年会.西安地理出版社,2004,10:6. Niu B H,Xu T J,Sun C Y.The study on elastic components and pore fluid medium speed parameters[J].The Chinese Geophysics,The 20th Annual Meeting.Xi An Map Press, 2004,10:6.
[14]牛滨华,孙春岩.地震波理论研究进展—介质模型与地震波传播[J].地球物理学进展,2004,19(2):255-263. Niu B H,Sun C Y.Developing theory of propagation of seismic waves-medium model and propagation of seismic waves[J].Progress in Geophysics,2004,19(2):255-263.
[15]孙晟,牛滨华.线弹性各向同性组分孔隙介质模型的理论研究[J].中国地球物理学会第22届年会论文集,2006. Sun S,Niu B H.The Theory Study of Isotropic Constituent Porous Medium Model[J].The 22th Annual Meeting,The Chinese Geophysics,2006.
[16]孙晟.组分孔隙介质模型及其地震波传播理论研究[D].北京:中国地质大学,2007. Sun S.Theory of Constituent Porous Medium Model and Seismic Wave Propagation[D].Beijing:China University of Geosciences,2007.
[17]Niu B h,Sun C Y,Yan G Y,et al.Linear numerical calculation method for obtaining critical point,pore fluid,and frame work parameters of gas bearing media[J].Applied Geophysics,2009,6(4):319-326.
[18]Li X W,Wang J D,Hu B X,et al.On utilization of a priori knowledge in inversion of remote sensing models[J].Science in China,1998,41(6):580-585.
[19]杨文采.线性地球物理反演方法回顾与展望[J].地球物理学进展,2002,7(2):255-261. Yang W C.Nonlinear Geophysical Inversion Methods: Review and Perspective[J].Progress in Geophysics,2002,7 (2):255-261.
[20]刘恩儒,岳建华,刘彦.具有离散裂缝空间分布的二维固体中地震波传播的有限差分模拟.地球物理学报,2006,49(1): 180-188. Liu E R,Yue J H,Liu Y.Finite difference simulation of seismic wave propagation in 2 _D solids with spatial distribution of discrete fractures[J].Chinese Journal of Geophysice,2006,49(1):180-188.
[21]张数球,邓峋康.地质统计学及其在油气田开发中的应用[J].新疆石油地质,1990,11(2):149-156. Zhang S Q,Deng X K.Geological Statistics and Its Application in Development of Oil and Gas Fields[J]. Xinjiang petroleum Geology,1990,11(2):149-156.
[22]马中高,邓道静.岩石物理性质研究技术[J].勘探地球物理进展,2003,26(5-6):387-401. Ma Z G,Deng D J.Research in rock physical properties[J]. Progress in Exploration Geophysics,2003,26(5-6):387-401.
[23]张璐.基于岩石物理的地震储层预测方法应用研究[D].北京:中国石油大学,2009. Zhang 1.Application of Rock Physics Theory in Seismic Reservoir Prediction[D].Beijing:China University of Petroleum,2009.
[24]曹向阳,张金淼,张剑锋.应用统计岩石物理技术降低地震解释风险[J].中国地球物理,2009第25届年会.中国科学技术大学出版社,2009. Cao X Y,Zhang J M,Zhang J F.Applying Statistical Rock Physics Technology to Reduce Interpretation risk[J].The Chinese Geophysics,The 20th Annual Meeting.The University of Science and Technology of China Press,2009.
[25]De-hua Han,A.Nur,Dale Morgani.Effects of porosity and clay content on wave velocities in sandstones[J]. Geophysice,1986,51(11):2093-2107.
[26](美)葛瑞·马沃可等编著,徐海滨等审校.岩石物理手册:孔隙介质中地震分析工具[M].中国科学技术大学出版社, 2008. Mavko G,et al.The Rock Physics Handbook:Tools for Seismic Analysis in Porous Media[M].University of Science and Technology of China Press,2008.
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