Application of modified Cauchy constrained deconvolution in carbonate seismic data processing

Sparse-constrained deconvolution can improve the resolution of band-limited seismic data compared to conventional deconvolution. However, such deconvolution methods have the result of non-unique solutions and suppress weak reflections. The Cauchy function, modified Cauchy function and Huber function are commonly-used constraint criteria in sparse deconvolution, and the performance of sparse-constrained deconvolution depends on the consistency between the constrained criteria and the probability distribution of reflectivity sequence. The probability distribution of the reflectivity sequences of carbonate formations are statistically analyzed by using well-logging data, and then the modified Cauchy constrained deconvolution is applied to real seismic data and improves the resolution.