一种适应任意相位子波的反褶积方法
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摘要
现有的反褶积方法均需要对地震子波和反射系数做某种假设,而实际情况一般又不完全满足这些假设。因而使反褶积方法的应用效果受到限制。本文针对不同的褶积形式,提出了计算褶积与求解反褶积的矩阵相乘法,并根据时频对应关系给出其相应的频域计算方法。由于该方法没有相位限制,可以实现任意相位地震信号的反褶积处理。模拟试验表明,在没有噪声干扰的情况下,该反褶积方法可以实现真正意义上的谱白化。该褶积方法处理的地震资料不但纵向分辨率明显提高,而且振幅保持相对较好。
Some hypotheses about seismic wavelet and reflection coefficients should be made in the available deconvolution methods,which can't be totally met in real situation generally and has restriction on the application of deconvolution.Faced with different deconvolution,the paper presented matrix multiplication combining the computation of deconvolution with solving deconvolutoin and gave relative computational methods in frequency domain based on the corresponding time-to-frequency relationship.Since there is no restriction on phase in the method,the deconvolution processing of seismic signal with arbitrary phases.The simulation test showed the deconvolution method can truly realize the spectral whitening in a condition of free-from noise interference.The seismic data processed by the deconvolution can both improve resolution significantly in vertical direction and have good preservation of amplitude.
Some hypotheses about seismic wavelet and reflection coefficients should be made in the available deconvolution methods,which can't be totally met in real situation generally and has restriction on the application of deconvolution.Faced with different deconvolution,the paper presented matrix multiplication combining the computation of deconvolution with solving deconvolutoin and gave relative computational methods in frequency domain based on the corresponding time-to-frequency relationship.Since there is no restriction on phase in the method,the deconvolution processing of seismic signal with arbitrary phases.The simulation test showed the deconvolution method can truly realize the spectral whitening in a condition of free-from noise interference.The seismic data processed by the deconvolution can both improve resolution significantly in vertical direction and have good preservation of amplitude.
引文
[1]黄绪德．反褶积与地震道反演．北京：石油工业出版社，1992
[2]Sagaf M M,Robinson Enders A.A unified frame work for the deeonvolution of traces of nowhite reflectivity. Geophysics,2000,65(5):1660～1676
[3]Wood Warrant.Simultaneous deconvolution and wave- let inversion as a global optimizition.Geophysics, 1999,64(4):1108～1115
[4]李大卫，田继东，成竹等．基于高阶统计的混合相位子波估计及其处理．勘探地球物理进展，2005，28(2)：117～121
[5]李大卫，尹成，赵维坤等．基于相位扫描的地震子波提取方法研究．西南石油大学学报，2007，29(3)：17～19
[6]程乾生．信号数字处理的数学原理．北京：石油工业出版社，1993
[7]刘喜武，刘洪，郑天愉．用独立分量分析方法实现地震转换波与多次反射波分离．防灾减灾工程学报，2003，23(1)：11～19
[2]Sagaf M M,Robinson Enders A.A unified frame work for the deeonvolution of traces of nowhite reflectivity. Geophysics,2000,65(5):1660～1676
[3]Wood Warrant.Simultaneous deconvolution and wave- let inversion as a global optimizition.Geophysics, 1999,64(4):1108～1115
[4]李大卫，田继东，成竹等．基于高阶统计的混合相位子波估计及其处理．勘探地球物理进展，2005，28(2)：117～121
[5]李大卫，尹成，赵维坤等．基于相位扫描的地震子波提取方法研究．西南石油大学学报，2007，29(3)：17～19
[6]程乾生．信号数字处理的数学原理．北京：石油工业出版社，1993
[7]刘喜武，刘洪，郑天愉．用独立分量分析方法实现地震转换波与多次反射波分离．防灾减灾工程学报，2003，23(1)：11～19
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