Edge-preserving seismic imaging using the total variation method
Edge-preserving seismic imaging using the total variation method
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DOI：
10.1088/1742-2132/9/2/138
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发表时间：
2012-04
影响因子：
1.4
通讯作者：
A. Anagaw;M. Sacchi
中科院分区：
文献类型：
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作者：
A. Anagaw;M. Sacchi
反问题通常在数学上是不适定的，因此需要正则化方法来获得稳定和唯一的解。采用全变分(TV)正则化方法对尖锐界面进行求解，得到了保持边界和不连续的解。TV正则化通过对模型参数的梯度施加稀疏性来实现这些目标。本文利用单次散射Born模拟算子，将TV方法应用于反演声扰动。TV正则化使得模型参数的图像保留了不连续和边缘。利用合成数据实例对所提出的地震成像算法进行了验证。
Inverse problems are generally mathematically ill-posed and, therefore, regularization methods are required to obtain stable and unique solutions. The total variation (TV) regularization method is used to resolve sharp interfaces and obtain solutions where edges and discontinuities are preserved. TV regularization accomplishes these goals by imposing sparsity on the gradient of the model parameters. In this paper, the TV method is applied to invert acoustic perturbations using the single-scattering Born modelling operator. The TV regularization leads to images of model parameters with preserved discontinuities and edges. Synthetic data examples are used to test the proposed seismic imaging algorithm.