提高地震图像信噪比的一致增强性扩散方法应用研究
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摘要
本文针对地震图像具有线形纹理的特征 ,提出和分析了基于偏微分方程一致增强性扩散去噪模型及其适用范围 ,设计了提高地震图像信噪比的具体算法 ,同时研究了扩散模型中的参数选择 .大量真实地震图像处理结果及其数据分析表明 ,在信号能量保持 80～ 90 %的条件下 ,对于信噪比为 15～ 2 0dB的地震图像 ,可使其信噪比提高 9dB左右 ,且不会出现假象 ,增强了地质信息 ,有利于地震解释 ,对探明地质储量具有十分重要的意义
According to line-like texture characters of seismic image,the suppressing noise model and applicable fields of coherent enhancing diffusion based on partial differential equation are presented and analyzed.Then,an actual algorithm of increasing signal to noise ratio (SNR) of seismic image is designed,at the same time,the selections of some parameters used in the diffusion model are studied.A great deal of processing results and data analysis of real seismic images indicate that SNR could be increased about 9dB for seismic image with SNR being 15～20dB under the condition that the 80～90% of signal energy is kept.There are no artifacts,and as important geological information could be enhanced as well.All of these are available to seismic interpretation and have the very great significance for exploring the geological reserves.
According to line-like texture characters of seismic image,the suppressing noise model and applicable fields of coherent enhancing diffusion based on partial differential equation are presented and analyzed.Then,an actual algorithm of increasing signal to noise ratio (SNR) of seismic image is designed,at the same time,the selections of some parameters used in the diffusion model are studied.A great deal of processing results and data analysis of real seismic images indicate that SNR could be increased about 9dB for seismic image with SNR being 15～20dB under the condition that the 80～90% of signal energy is kept.There are no artifacts,and as important geological information could be enhanced as well.All of these are available to seismic interpretation and have the very great significance for exploring the geological reserves.
引文
[1]Jamie B Peterson, Ronald D DeGroat. Nearly optimal Svd-based stacking of seismic data[A] . Proceedings of the 22nd Asilomar Conference on Signals, Systems and Computers [C]. pacific grove, CA: MAPLE Press, November, 1988.858-862.
[2]刘振东，何和英，等．外推算子预测去噪方法[J]．石油物探， 2001，40(1)：26-32．
[3]Marr D Vision[M].San Francisco,CA:Freeman, 1982.
[4]Witkin A P.Scale-space filtering[A] .Proceedings of the Eighth International Joint Conference on Artificial Intellegence[C] .Karlsruhe,west Germany, published by Morgankaufman,Palo Alto, California, 1983. 1019-1021.
[5]P Perona, J Malik. Scale-space and edge detection using anisotropic dif fusion[J] . IEEE Transactions on Pattern Analysis and Machine Intelligence, 1990,12(7): 629-639.
[6]Joachim Weickert. Multiscale texture enhancement [A]. Computer Analysis of Images and Patterns[C] . Prague Czech, Berlin: Published by Springer-verlag, 1995.230-237.
[7]Joachim Weickert. Coherence-enhancing diffusion filtering[J] . International Journal of Computer Vision,1999,31(2/3) :111-127.
[8]陆基孟，等．地震勘探原理及资料解释[M]．北京：石油工业部 勘探培训中心，1982．81-86．
[9]Joachim Weickert, H Scharr. A scheme for coherence-enhancing diffusion filtering with optimized rotation invariance[J]. Journal of Visual Communication and Image Representation,2002,13(1/2) :103-118.
[2]刘振东，何和英，等．外推算子预测去噪方法[J]．石油物探， 2001，40(1)：26-32．
[3]Marr D Vision[M].San Francisco,CA:Freeman, 1982.
[4]Witkin A P.Scale-space filtering[A] .Proceedings of the Eighth International Joint Conference on Artificial Intellegence[C] .Karlsruhe,west Germany, published by Morgankaufman,Palo Alto, California, 1983. 1019-1021.
[5]P Perona, J Malik. Scale-space and edge detection using anisotropic dif fusion[J] . IEEE Transactions on Pattern Analysis and Machine Intelligence, 1990,12(7): 629-639.
[6]Joachim Weickert. Multiscale texture enhancement [A]. Computer Analysis of Images and Patterns[C] . Prague Czech, Berlin: Published by Springer-verlag, 1995.230-237.
[7]Joachim Weickert. Coherence-enhancing diffusion filtering[J] . International Journal of Computer Vision,1999,31(2/3) :111-127.
[8]陆基孟，等．地震勘探原理及资料解释[M]．北京：石油工业部 勘探培训中心，1982．81-86．
[9]Joachim Weickert, H Scharr. A scheme for coherence-enhancing diffusion filtering with optimized rotation invariance[J]. Journal of Visual Communication and Image Representation,2002,13(1/2) :103-118.
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