首页|基于重加权TL1范数的非稳态谱反演算法

基于重加权TL1范数的非稳态谱反演算法

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地震数据反射系数反演是联结地下储层和地震数据的桥梁,一直是研究的热点.目前反射系数反演大多基于L1范数约束的稀疏脉冲反褶积.近年来,奇偶分解算法的出现使得子波间调谐效应减弱,这使得基于L1范数约束的谱反演得到进一步应用.稀疏约束的能力关系到待求解反射系数的准确性,本文针对常用的L1范数和Lp范数稀疏能力约束度不足的问题,引入TL1范数(Transformed L1Norm)稀疏约束,有利于获得更准确的反演反射系数;同时考虑反射系数较大的位置拟合能力需要增强,提出重加权TL1范数(Reweighted Transformed L1Norm,RTL1)进一步提高稀疏约束能力.参数测试结果证明了重加权类范数重建能力强于未重加权类范数,RTL1在稀疏重建上的有效性.模型和实际数据处理结果证明RTL1相比于常用的稀疏约束项更有利于提高谱反演的反射系数精度.
Nonstationary spectral inversion algorithm based on reweighted TL1 norm
Seismic data reflectivity inversion is a critical step to connect reservoir parameters and seismic data,which remains a research hotspot.At present,reflectivity inversion is mostly in the form of the sparse-spike de-convolution based on the L1-norm constraint.In recent years,the emergence of the odd-even decomposition al-gorithm has weakened the inter-wavelet tuning effect,which makes the spectral inversion based on the L1-norm constraint receive further applications.The sparse constraint ability is related to the accuracy of the inversion re-flectivity remaining to be solved.Because of the insufficient sparsity constraint ability of the L1-norm and the Lp norm,this paper introduce the transformed L,(TL1)sparse constraint,which is conducive to the obtainment of a more accurate inversion reflectivity.Meanwhile,given that the fitting ability of the large reflectivity needs to be enhanced,this paper propose the reweighted TL1(RTL1)norm to further enhance the sparse constraint abi-lity.Parameter tests show that the reconstruction ability of the reweighted norm is better than that of the non-re-weighted norm,which proves the effectiveness of the RTL,norm in sparse reconstruction.Models and field data processing demonstrate that the RTL,norm is more effective in enhancing the accuracy of reflectivity inver-sion in spectral inversion compared to conventional sparse constraints.

sparse-spike inversionodd-even decompositionspectral inversionreweighted transformed L1 norm

江雨濛、周昕、郝越翔、孙耀光、陈雪、李宜真

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中国石油集团川庆钻探工程有限公司页岩气勘探开发项目经理部,四川成都 610083

中国石油塔里木油田公司勘探开发研究院,新疆库尔勒 841000

稀疏脉冲反演 奇偶分解 谱反演 重加权TL1范数

2024

石油地球物理勘探
东方地球物理勘探有限责任公司

石油地球物理勘探

CSTPCD北大核心
影响因子:1.766
ISSN:1000-7210
年,卷(期):2024.59(6)