稀疏约束反褶积方法实验分析与应用研究(英文)
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摘要
稀疏条件约束下的反褶积方法突破了地震资料有效频带的限制,能够获得较常规反褶积方法更高的分辨率。但这类反褶积方法存在较强的多解性,且对于弱反射有压制作用。柯西约束、修正柯西约束和Huber约束是稀疏反褶积方法常用的约束准则,本文利用模型数据对不同约束准则条件下稀疏约束反褶积恢复反射系数和保护弱反射的能力进行了实验分析。实验结果表明,稀疏约束反褶积的效果取决于约束准则与反射系数概率分布特征的一致程度,修正柯西约束较其它约束准则能够更好地保护弱反射信号。在模型实验的基础上,利用测井数据对碎屑岩地层和碳酸盐岩地层的反射系数概率分布特征进行了统计分析,采用修正柯西约束反褶积方法对实际地震资料进行了实验处理,较大幅度地提高了地震数据分辨率。
Sparsity constrained deconvolution can improve the resolution of band-limited seismic data compared to conventional deconvolution.However,such deconvolution methods result in nonunique solutions and suppress weak reflections.The Cauchy function,modified Cauchy function,and Huber function are commonly used constraint criteria in sparse deconvolution.We used numerical experiments to analyze the ability of sparsity constrained deconvolution to restore reflectivity sequences and protect weak reflections under different constraint criteria.The experimental results demonstrate that the performance of sparsity constrained deconvolution depends on the agreement between the constraint criteria and the probability distribution of the reflectivity sequences;furthermore,the modified Cauchyconstrained criterion protects the weak reflections better than the other criteria.Based on the model experiments,the probability distribution of the reflectivity sequences of carbonate and clastic formations is statistically analyzed by using well-logging data and then the modified Cauchy-constrained deconvolution is applied to real seismic data much improving the resolution.
引文
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