基于小波多尺度分解与分形分维相结合的方法预测薄层砂体边界
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摘要
针对薄层砂体的地质和地震特征(单层厚度薄、岩性横向变化快),结合小波多分辨率分析理论和多方向分形分维理论,以预测薄层砂体的空间展布为目的,研究了不同尺度不同方向的分形分维计算方法来识别薄层砂体的纵横向边界。通过对比分析不同尺度不同方向的分形分维数,得到多尺度多方向的分形维数能更好地反映储层的空间展布,通过制作地质模型,论证了方法的有效性和实用性,并将其应用到某油田,取得了较好的效果。
Against the geological and seismic features of thin sandbody(thin single layer and sharp lateral variation of lithology), combined with wavelet multi-resolution analysis theory and multi-direction fractal dimension theory,aimed at predicting the space distribution of thin sandbody,this paper conducted research on variant resolution/direction fractal dimension calculation methods to identify longitudinal and lateral boundary of thin sandbody.Through comparing with variant resolution/direction fractal dimension,multi-resolution and multi-direction fractal dimension can better reflect the space distribution of reservoir.By means of making geologic models,the method demonstrated its effectiveness and practicability and achieved good results in its application in some oilfield.
Against the geological and seismic features of thin sandbody(thin single layer and sharp lateral variation of lithology), combined with wavelet multi-resolution analysis theory and multi-direction fractal dimension theory,aimed at predicting the space distribution of thin sandbody,this paper conducted research on variant resolution/direction fractal dimension calculation methods to identify longitudinal and lateral boundary of thin sandbody.Through comparing with variant resolution/direction fractal dimension,multi-resolution and multi-direction fractal dimension can better reflect the space distribution of reservoir.By means of making geologic models,the method demonstrated its effectiveness and practicability and achieved good results in its application in some oilfield.
引文
1肖慈珣.测井地质学在油气勘探中的应用(译文集).北京:石油工业出版社,1991
2曾文冲.油气藏储集层测井评价技术.北京:石油工业出版社, 1991
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4李世雄.一维波动方程的齐性反演与小波[J].地球物理学报, 1995,38(1):93-104
5李世雄,汪继文.信号的瞬时参数与正交小波基[J].地球物理学报,2000,43(1):97-104
6常旭,刘伊克.Hausdorff分数维识别地震初至走时[J].地球物理学报,1998,41(6):826-832
7常旭,刘伊克.地震记录的广义分维及应用[J].地球物理学报, 2002,45(6):839-846
8李庆忠.怎样正确对待分形[J].石油地球物理勘探,1996,61 (1).1 36-160
9 Mallat S.A theory for multi2resolution signal decomposition:the wavelet representation[J].IEEE Transactions on Pat tern Analysis and Machine Intelligence,1989,11(7):674-693
10 Mallats H W.Singularity Detection and Processing with Wavelets [J].IEEE Trans on Information Theory,1992,38(2):617-643
11 Todoeschuek J P,Jensen O G.Joseph geology and seismic deconvolution [J].Geophysics,1988,53(11):1410-1414
12 Eckmann J K,etc.Fundamental limitations for estimating dimension and lyapunov exponents in dynamical systems.Physical. 1992,56-D:185-187
13 Pentland A P.Fractal based description of natural scence.IEEE PAMI,1984,6(6):661-674
14 Frandrin P.Wavelet analysis and synthesis of Fractional Brownian Motion.IEEE Trans,IT,1992,38(2):910-917
15 Henegan C,lowon S B,Teich M C.Two dimensional fractional Brownian motion:wavelet analysis and synthesis,in proc.IEEE Southwest Syml.Image Analysis and Interpretation,New York, 1996:213-217
16 Tewqik A H,Kim M.Correlation structure of the discrete wavelet coefficients of fractional Brownian motion.1EEE Trans,IT,1992, 38(2):904-909
17 Turcotte D L.Fractals and Chaos in Geology and Geophysics. New York:Cambridge Univ.Press,1997
2曾文冲.油气藏储集层测井评价技术.北京:石油工业出版社, 1991
3王域辉,廖淑华.分形与石油[M].北京:石油工业出版社,1994
4李世雄.一维波动方程的齐性反演与小波[J].地球物理学报, 1995,38(1):93-104
5李世雄,汪继文.信号的瞬时参数与正交小波基[J].地球物理学报,2000,43(1):97-104
6常旭,刘伊克.Hausdorff分数维识别地震初至走时[J].地球物理学报,1998,41(6):826-832
7常旭,刘伊克.地震记录的广义分维及应用[J].地球物理学报, 2002,45(6):839-846
8李庆忠.怎样正确对待分形[J].石油地球物理勘探,1996,61 (1).1 36-160
9 Mallat S.A theory for multi2resolution signal decomposition:the wavelet representation[J].IEEE Transactions on Pat tern Analysis and Machine Intelligence,1989,11(7):674-693
10 Mallats H W.Singularity Detection and Processing with Wavelets [J].IEEE Trans on Information Theory,1992,38(2):617-643
11 Todoeschuek J P,Jensen O G.Joseph geology and seismic deconvolution [J].Geophysics,1988,53(11):1410-1414
12 Eckmann J K,etc.Fundamental limitations for estimating dimension and lyapunov exponents in dynamical systems.Physical. 1992,56-D:185-187
13 Pentland A P.Fractal based description of natural scence.IEEE PAMI,1984,6(6):661-674
14 Frandrin P.Wavelet analysis and synthesis of Fractional Brownian Motion.IEEE Trans,IT,1992,38(2):910-917
15 Henegan C,lowon S B,Teich M C.Two dimensional fractional Brownian motion:wavelet analysis and synthesis,in proc.IEEE Southwest Syml.Image Analysis and Interpretation,New York, 1996:213-217
16 Tewqik A H,Kim M.Correlation structure of the discrete wavelet coefficients of fractional Brownian motion.1EEE Trans,IT,1992, 38(2):904-909
17 Turcotte D L.Fractals and Chaos in Geology and Geophysics. New York:Cambridge Univ.Press,1997
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