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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。
The deconvolution method under the constraint of sparse conditions breaks through the limitation of the effective frequency band of seismic data and can obtain higher resolution than the conventional deconvolution method. However, this kind of deconvolution method has a strong multi-solution, and the suppression of weak reflections. Cauchy constraint, Coriolis constraint and Huber constraint are the common constraint criteria of sparse deconvolution. In this paper, we analyze the ability of sparse constrained deconvolution to recover the reflection coefficient and protect the weak reflection using the model data under different constraints . Experimental results show that the effect of sparse constraint deconvolution depends on the degree of agreement between the constraint criterion and the probability distribution of the reflection coefficient. Correcting the Cauchy constraint can better protect the weak reflection signal than other constraint criteria. Based on the model experiment, the statistical analysis of the probability distribution of the reflection coefficient of clastic rock strata and carbonate rock formation by using well log data was carried out. The experimental data of the actual seismic data were processed by the modified Cauchy constrained deconvolution method , Greatly improved the seismic data resolution.