An alternative method based on region fusion to solve L0-norm constrained sparse seismic inversion
An alternative method based on region fusion to solve L0-norm constrained sparse seismic inversion
复制标题
基于区域融合的L0范数约束稀疏地震反演替代方法
DOI：
10.1080/08123985.2021.1871846
复制
发表时间：
2021-01-09
影响因子：
0.9
通讯作者：
Yang, Jun
中科院分区：
文献类型：
--
作者：
Dai, Ronghuo;Yang, Jun
L0范数约束稀疏地震反演是反演地下岩石反射率序列的一种有效方法。具有尖锐地层边界的块状波阻抗模型可以由稀疏反射率序列估计。目前，求解L0范数约束稀疏地震反演问题最常用的两种方法是迭代硬阈值法（IHT）和匹配追踪法（MP）。IHT算法计算复杂度低、收敛速度快，但恢复精度不高。MP算法恢复精度高，但计算复杂度高，收敛速度慢.因此，需要更多的计算资源来执行MP。针对L0范数约束稀疏地震反演问题，提出了一种基于区域融合的有效方法。RF是一种新的下降策略，收敛速度快，同时提供了一个很好的近似的L0范数相对较高的恢复精度。数值算例验证了RF方法的有效性。结果表明，RF比IHT具有更高的恢复精度，并且比MP类型方法快得多。最后，通过一个真实的地震资料实例说明了RF方法在实际中的适用性。
L0-norm constrained sparse seismic inversion is an effective way to invert reflectivity series of underground rocks. A blocky impedance model with sharp formation boundaries can be estimated from sparse reflectivity series. At present, the most two common used methods to solve L0-norm constrained sparse seismic inversion problem are iterative hard thresholding (IHT) and matching pursuit (MP). IHT has low computational complexity and fast convergence rate, but low restoration precision. On the contrary, MP has high restoration precision, but high computational complexity and slow convergence rate. Hence, one needs much more computational resource to execute MP. An alternative and effective method based on region fusion (RF) is proposed to solve L0-norm constrained sparse seismic inversion problem. RF is a new descent strategy and converges fast while providing a good approximation of L0-norm with relatively high restoration precision. The numerical example demonstrates the effectiveness of RF method. The results show that RF has higher restoration precision than IHT and is significant faster than MP type methods. At last, a real seismic data example demonstrates the applicability of RF method in practice.