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.

L0范数约束的稀疏地震反演是反演地下岩石反射率系列的有效方法。具有稀疏地层边界的块状阻抗模型可以根据稀疏反射率序列进行估算。目前，解决L0范数约束的稀疏地震反演问题的最常用的两种方法是迭代硬阈值（IHT）和匹配追踪（MP）。IHT计算复杂度低，收敛速度快，但是恢复精度低。相反，MP具有较高的恢复精度，但计算复杂度高且收敛速度慢。因此，需要更多的计算资源来执行MP。提出了一种基于区域融合的有效替代方法来解决L0范数约束的稀疏地震反演问题。RF是一种新的下降策略，可以快速收敛，同时提供L0范数的良好近似值，并且恢复精度较高。数值算例说明了射频方法的有效性。结果表明，射频具有比IHT高的恢复精度，并且比MP型方法显着更快。最后，通过一个真实的地震数据实例证明了射频方法在实践中的适用性。