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Deblending of Simultaneous-source Seismic Data using Fast Iterative Shrinkage-thresholding Algorithm with Firm-thresholding

Qu S., Zhou H., Liu R., Chen Y., Zu S., Yu S., Yuan J., Yang Y.

Acta Geophysica

2016

Vol. 64, no. 4

1064--1092

In this paper, an improved algorithm is proposed to separate blended seismic data. We formulate the deblending problem as a regularization problem in both common receiver domain and frequency domain. It is suitable for different kinds of coding methods such as random time delay discussed in this paper. Two basic approximation frames, which are iterative shrinkage-thresholding algorithm (ISTA) and fast iterative shrinkage-thresholding algorithm (FISTA), are compared. We also derive the Lipschitz constant used in approximation frames. In order to achieve a faster convergence and higher accuracy, we propose to use firm-thresholding function as the thresholding function in ISTA and FISTA. Two synthetic blended examples demonstrate that the performances of four kinds of algorithms (ISTA with soft- and firm-thresholding, FISTA with soft- and firm-thresholding) are all effective, and furthermore FISTA with a firm-thresholding operator exhibits the most robust behavior. Finally, we show one numerically blended field data example processed by FISTA with firm-thresholding function.

Statistical analysis of backscattered laser signals from rough targets in the laser altimeter application

Guo G., Qu S., Jiao W., Chen X.

Optica Applicata

2009

Vol. 39, nr 3

511-519

Statistical properties of the scattered field for a laser altimeter are considered. Analytical expressions are developed for the optical field correlation function and intensity correlation function, as well as the correlation degree of intensities of speckle patterns. The relationship between the backscattered signal intensity and the target roughness is analyzed.