基于瞬时相位和Curvelet变换的地层结构提取方法
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摘要
储层的几何形态和空间展布预测是储层预测的主要内容.本文根据Curvelet变换的奇性分析特征及地震资料瞬时相位在追踪地质层位的优势,提出了基于Curvelet变换的地层结构提取方法.将提取的地层结构剖面和瞬时频率或其它与地层岩性相关属性联合显示,能更清晰、直观地解释有利储层的几何形态和空间展布特征.通过合成资料和实际数据的算例,验证了本文方法的有效性.
The prediction of reservoir geometry shape and spatial distribution is the main content of reservoir prediction.According to the singularity analysis characteristics of the Curvelet transform and the superiority of seismic data instantaneous phase in tracing geological horizon, a stratal configuration extraction method is proposed, which is based on the Curvelet transform and instantaneous phase.The joint displays of the stratal configuration section extracted and instantaneous frequency or other lithology-related seismic attributes can interpret the favorable reservoir geometry shape and spatial distribution characteristics in a more clear and institutive manner.The synthetic data and real data processing results confirm the effectiveness of the proposed method.
The prediction of reservoir geometry shape and spatial distribution is the main content of reservoir prediction.According to the singularity analysis characteristics of the Curvelet transform and the superiority of seismic data instantaneous phase in tracing geological horizon, a stratal configuration extraction method is proposed, which is based on the Curvelet transform and instantaneous phase.The joint displays of the stratal configuration section extracted and instantaneous frequency or other lithology-related seismic attributes can interpret the favorable reservoir geometry shape and spatial distribution characteristics in a more clear and institutive manner.The synthetic data and real data processing results confirm the effectiveness of the proposed method.
引文
[1] Chopra S, Marfurt KJ.Seismic attribute-A historical perspective[J].Geophysics, 2005, 70(5) :3～28．
[2] 赵政璋,赵贤正,王英民,等.储层地震预测理论与实践[M].北京:科学出版社,2005Zhao Z Z, Zhao X Z, Wang Y M, et al.Seismic prediction theory and practice of Reservior[M].Beijing: Science Press, 2005．
[3] 李明,侯连华,邹才能.岩性地层油气藏地球物理勘探技术与应用[M].北京:石油工业出版社,2005． Li M, Hou L H, Zhou C N.Geophysical prospecting technology and application of lithology stratigraphic hydrocarbon reservoir[M].Beijing: Petroleum Industry Press, 2005．
[4] Mallat S, Hwang WL.Singularity detection and processing with wavelets[J].IEEE Transanctions on Information Theory, 1992, 38 (2) : 617～643．
[5] Mallat S, Zhong S.Characterization of signal from multiscale edges[J].IEEE Transaction on Pattern Analysis and Machine Intelligence, 1992, 14 (7) : 710～732．
[6] Herrmann F.Singularity characterization by monoscale analysis: Application to seismic imaging[J].Applied and Computational Harmonic Analysis, 2001, 11 (1) : 64～88．
[7] Herrmann F, Stark C.A scale attribute for texture in well and seismic data[C].70th Ann.Internat Mtg., Soc.Expi.Geophys.Expanded Abstracts, 2000, 2063～2066．
[8] Lyons W J, Herrmann F.Singularity analysis: A tool for extracting lithologic and stratigraphic content from seismic data[C].71th Ann.Internat Mtg., Soc.Expi.Geophys.Expanded Abstracts, 2001, 587～590．
[9] Li C F.Scaling and wavelet-based singularity analysis for geological and geophysical interpretation[D].Tulsa: The University of Tulsa, 2002．
[10] 李庆春,朱光明.基于小波变换的薄层地震信号奇点的检测[J].地震学报,2000,22(1) :66～69． Li Q C, Zhu G M.Thin layer seismic signal singularity detection based on wavelet transform[J].Acta Seismologica Sinica(in Chinese), 2000, 22 (1) : 66～69．
[11] 黄捍东,胡光岷,贺振华,等.利用多尺度边缘检测研究碳酸盐岩裂缝分布[J].物探化探计算技术,2000,22(1) :21～25． Huang H D, Hu G M, He Z H, et al.Carbonate fracture research using multi-scale boundary detection method[J].Computing Techniques for Geophysical and Geochemical Exploration (in Chinese), 2000, 22 (1) : 21～25．
[12] 孙夕平,杜世通.边缘检测技术在河道和储层小断层成像中的应用[J].石油物探,2003,42(4) :469～472,476． Sun X P, Du S T.Using edge detection technique to image channels and minor faults[J].Geophysical Prospecting for Petroleum(in Chinese), 2003, 42 (4) : 469～472,476．
[13] 苟量,彭真明.小波多尺度边缘检测及其在裂缝预测中的应用[J].石油地球物理勘探,2005,40(3) :309～313． Gou L, Peng Z M.Multi-scale edge detection of wavelet and application in fracture prediction[J].Oil Geophysical Prospecting (in Chinese), 2005, 40 (3) : 309～313．
[14] 董宁,杨立强.基于小波变换的吸收衰减技术在塔河油田储层预测中的应用研究[J].地球物理学进展,2008,23(2) :533～538．Dong N, Yang L Q.Application of absorption and attenuation based on wavelet transform for prediction of reservoir in ta he oilfield[J].Progress in Geophysics (in Chinese), 2008, 23 (2) : 533～538．
[15] 高建虎,雍学善,刘洪.频率域储层预测技术研究[J].天然气地球科学,2007,18(6) :808～812．Gao J H, Yong X S, Liu H.Study of reservoir prediction technology in frequency domain[J].Natural Gas Geoscience (in Chinese), 2007, 18 (6) : 808～812
[16] 杨凯.东营凹陷王庄-宁海地区馆陶组储层预测[J].地球物理学进展,2005,20(1) :54～57．Yang K.The reservoir predication for Guantao set of Dongying sunken , Shengli oil-field[J].Progress in Geophysics (in Chinese), 2005, 20 (1) : 54～57．
[17] Li C F, Liner C.Wavelet-based detection of singularities in acoustic impedances from surface seismic reflection data[J].Geophysics, 2008, 73 (1) : 1～9．
[18] 李春峰,Liner C.基于小波多尺度分析的奇性系数:一种新 地震属性[J].地球物理学报,2005,48(4) :882～888．Li C F, Liner C.Singularity exponent from wavelet-based multiscale analysis: A new seismic attribute[J].Chinese Journal of Geophysics (in Chinese), 2005, 48 (4) : 882 ～888．
[19] 周静毅,印兴耀,吴国忱.小波变换与地震奇异性属性[J].物探化探计算技术,2006,28(2) :117～120． Zhou J Y, Ying X Y, Wu G C.Wavelet transform ans seismic singularity attribute[J].Computing Techniques for Geophysical and Geochemical Exploration (in Chinese),2006, 28 (2) : 117～120．
[20] 焦李成,谭山.图像的多尺度几何分析:回顾和展望[J].电子学报,2004,31(B12) :1975～1981． Jiao L C, Tan S.Development and Pro spect of Image Multiscale Geometric Analysis[J].Acta Electronica Sinica(in Chinese), 2004, 31 (B12) : 1975～1981．
[21] Candès E J, Donoho D L.New tight frames of curvelets and optimal representations of objects with piecewiseC 2 singularities[J].Communications on Pure and Applied Mathematics, 2004, 57 (2) : 219～266．
[22] Candès E J, Donoho D L.Continuous Curvelet Transform: I.Resolution of the Wavefront Set[J].Applied and Computational Harmonic Analysis, 2005, 19 (2) : 162～197．
[23] Candès E J, Donoho D L.Continuous Curvelet Transform: II.Discretization and Frames[J].Applied and Computational Harmonic Analysis, 2005, 19 (2) : 198～222．
[24] Candès E J, Demanet L, Donoho D L, et al.Fast discrete curvelet transforms[J].SIAM Multiscale Model Simul, 2006, 5 (3) : 861～899
[25] Taner M T, Koehler F, Sheriff R E.Complex seismic trace analysis[J].Geophysics, 1979, 44 (6) : 1041～1063．
[26] Barnes A E.Theory of 2-D complex seismic trace analysis[J].Geophysics, 1996, 61 (1) : 264～272．
[27] Barnes A E.A tutorial on complex seismic trace analysis[J].Geophysics, 2007, 72 (6) : 33～43．
[28] Chopra S, Marfurt K J.Seismic attribute-A historical perspective[J].Geophysics, 2005, 70 (5) : 3～28．
[29] Chopra S, Marfurt K J.Emerging and future trends in seismic attributes[J].The Leading Edge, 2008, 27 (3) : 298 ～318．
[30] Martin G S.The Marmousi2 model, elastic synthetic data, and an analysis of imaging and AVO in a structurally complex environment[D].Houston: University of Houston, 2004．
[31] 陈文超,高静怀.基于改进的最佳匹配地震子波的地震资料衰减特性分析[J].地球物理学报,2007,50(3) :837～843．Chen W C, Gao J H.Characteristic analysis of seismic attenuation using MBMSW wavelets[J].Chinese Journal of Geophysics(in Chinese), 2007,50(3) : 837～843．
[2] 赵政璋,赵贤正,王英民,等.储层地震预测理论与实践[M].北京:科学出版社,2005Zhao Z Z, Zhao X Z, Wang Y M, et al.Seismic prediction theory and practice of Reservior[M].Beijing: Science Press, 2005．
[3] 李明,侯连华,邹才能.岩性地层油气藏地球物理勘探技术与应用[M].北京:石油工业出版社,2005． Li M, Hou L H, Zhou C N.Geophysical prospecting technology and application of lithology stratigraphic hydrocarbon reservoir[M].Beijing: Petroleum Industry Press, 2005．
[4] Mallat S, Hwang WL.Singularity detection and processing with wavelets[J].IEEE Transanctions on Information Theory, 1992, 38 (2) : 617～643．
[5] Mallat S, Zhong S.Characterization of signal from multiscale edges[J].IEEE Transaction on Pattern Analysis and Machine Intelligence, 1992, 14 (7) : 710～732．
[6] Herrmann F.Singularity characterization by monoscale analysis: Application to seismic imaging[J].Applied and Computational Harmonic Analysis, 2001, 11 (1) : 64～88．
[7] Herrmann F, Stark C.A scale attribute for texture in well and seismic data[C].70th Ann.Internat Mtg., Soc.Expi.Geophys.Expanded Abstracts, 2000, 2063～2066．
[8] Lyons W J, Herrmann F.Singularity analysis: A tool for extracting lithologic and stratigraphic content from seismic data[C].71th Ann.Internat Mtg., Soc.Expi.Geophys.Expanded Abstracts, 2001, 587～590．
[9] Li C F.Scaling and wavelet-based singularity analysis for geological and geophysical interpretation[D].Tulsa: The University of Tulsa, 2002．
[10] 李庆春,朱光明.基于小波变换的薄层地震信号奇点的检测[J].地震学报,2000,22(1) :66～69． Li Q C, Zhu G M.Thin layer seismic signal singularity detection based on wavelet transform[J].Acta Seismologica Sinica(in Chinese), 2000, 22 (1) : 66～69．
[11] 黄捍东,胡光岷,贺振华,等.利用多尺度边缘检测研究碳酸盐岩裂缝分布[J].物探化探计算技术,2000,22(1) :21～25． Huang H D, Hu G M, He Z H, et al.Carbonate fracture research using multi-scale boundary detection method[J].Computing Techniques for Geophysical and Geochemical Exploration (in Chinese), 2000, 22 (1) : 21～25．
[12] 孙夕平,杜世通.边缘检测技术在河道和储层小断层成像中的应用[J].石油物探,2003,42(4) :469～472,476． Sun X P, Du S T.Using edge detection technique to image channels and minor faults[J].Geophysical Prospecting for Petroleum(in Chinese), 2003, 42 (4) : 469～472,476．
[13] 苟量,彭真明.小波多尺度边缘检测及其在裂缝预测中的应用[J].石油地球物理勘探,2005,40(3) :309～313． Gou L, Peng Z M.Multi-scale edge detection of wavelet and application in fracture prediction[J].Oil Geophysical Prospecting (in Chinese), 2005, 40 (3) : 309～313．
[14] 董宁,杨立强.基于小波变换的吸收衰减技术在塔河油田储层预测中的应用研究[J].地球物理学进展,2008,23(2) :533～538．Dong N, Yang L Q.Application of absorption and attenuation based on wavelet transform for prediction of reservoir in ta he oilfield[J].Progress in Geophysics (in Chinese), 2008, 23 (2) : 533～538．
[15] 高建虎,雍学善,刘洪.频率域储层预测技术研究[J].天然气地球科学,2007,18(6) :808～812．Gao J H, Yong X S, Liu H.Study of reservoir prediction technology in frequency domain[J].Natural Gas Geoscience (in Chinese), 2007, 18 (6) : 808～812
[16] 杨凯.东营凹陷王庄-宁海地区馆陶组储层预测[J].地球物理学进展,2005,20(1) :54～57．Yang K.The reservoir predication for Guantao set of Dongying sunken , Shengli oil-field[J].Progress in Geophysics (in Chinese), 2005, 20 (1) : 54～57．
[17] Li C F, Liner C.Wavelet-based detection of singularities in acoustic impedances from surface seismic reflection data[J].Geophysics, 2008, 73 (1) : 1～9．
[18] 李春峰,Liner C.基于小波多尺度分析的奇性系数:一种新 地震属性[J].地球物理学报,2005,48(4) :882～888．Li C F, Liner C.Singularity exponent from wavelet-based multiscale analysis: A new seismic attribute[J].Chinese Journal of Geophysics (in Chinese), 2005, 48 (4) : 882 ～888．
[19] 周静毅,印兴耀,吴国忱.小波变换与地震奇异性属性[J].物探化探计算技术,2006,28(2) :117～120． Zhou J Y, Ying X Y, Wu G C.Wavelet transform ans seismic singularity attribute[J].Computing Techniques for Geophysical and Geochemical Exploration (in Chinese),2006, 28 (2) : 117～120．
[20] 焦李成,谭山.图像的多尺度几何分析:回顾和展望[J].电子学报,2004,31(B12) :1975～1981． Jiao L C, Tan S.Development and Pro spect of Image Multiscale Geometric Analysis[J].Acta Electronica Sinica(in Chinese), 2004, 31 (B12) : 1975～1981．
[21] Candès E J, Donoho D L.New tight frames of curvelets and optimal representations of objects with piecewiseC 2 singularities[J].Communications on Pure and Applied Mathematics, 2004, 57 (2) : 219～266．
[22] Candès E J, Donoho D L.Continuous Curvelet Transform: I.Resolution of the Wavefront Set[J].Applied and Computational Harmonic Analysis, 2005, 19 (2) : 162～197．
[23] Candès E J, Donoho D L.Continuous Curvelet Transform: II.Discretization and Frames[J].Applied and Computational Harmonic Analysis, 2005, 19 (2) : 198～222．
[24] Candès E J, Demanet L, Donoho D L, et al.Fast discrete curvelet transforms[J].SIAM Multiscale Model Simul, 2006, 5 (3) : 861～899
[25] Taner M T, Koehler F, Sheriff R E.Complex seismic trace analysis[J].Geophysics, 1979, 44 (6) : 1041～1063．
[26] Barnes A E.Theory of 2-D complex seismic trace analysis[J].Geophysics, 1996, 61 (1) : 264～272．
[27] Barnes A E.A tutorial on complex seismic trace analysis[J].Geophysics, 2007, 72 (6) : 33～43．
[28] Chopra S, Marfurt K J.Seismic attribute-A historical perspective[J].Geophysics, 2005, 70 (5) : 3～28．
[29] Chopra S, Marfurt K J.Emerging and future trends in seismic attributes[J].The Leading Edge, 2008, 27 (3) : 298 ～318．
[30] Martin G S.The Marmousi2 model, elastic synthetic data, and an analysis of imaging and AVO in a structurally complex environment[D].Houston: University of Houston, 2004．
[31] 陈文超,高静怀.基于改进的最佳匹配地震子波的地震资料衰减特性分析[J].地球物理学报,2007,50(3) :837～843．Chen W C, Gao J H.Characteristic analysis of seismic attenuation using MBMSW wavelets[J].Chinese Journal of Geophysics(in Chinese), 2007,50(3) : 837～843．
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