High-precision seismic reflectivity inversion method based on basis pursuit denoising and its application

Seismic reflectivity inversion based on basis pursuit denoising produces sparse solutions through the application of l1 norm regularization. However, due to the presence of the regularization term, there is always a deviation between the solution obtained by basis pursuit denoising and the true solution. To reduce this deviation, this paper introduces the “adding back the residual (ABR)” strategy in the seismic reflectivity inversion, thereby improving the accuracy of the solution. The ABR strategy uses a moderate trade-off factor to iteratively perform the Fast Iterative Soft Thresholding Algorithm (FISTA) to solve the objective function of basis pursuit denoising, and the residuals obtained each time are continuously added back to the original input. Compared with a single solution using FISTA, the solution obtained by FISTA combined with the ABR strategy is closer to the true solution. In this paper, this method is applied to the Wenchang Formation reservoir in the Zhuyi Depression of the Pearl River Mouth Basin in the South China Sea, and calcareous sandstone and beach-dam sandstone are effectively distinguished through high-precision impedance inversion results.