A new approach for seismic resolution enhancement based on calculus theory

Abstract

The theory of calculus shows that the wavelet is stretched after integration, the effective frequency moves to low frequency, and the wavelet is compressed after differentiation. With the increase of differential order, the dominant frequency and effective frequency shift to high frequency gradually. Therefore, we propose a new approach of seismic resolution enhancement based on calculus theory. The core of this method is to calculate the differential and integral of the original seismic data, select the differential data of appropriate order, fuse with the original data and integral data, and design the objective function to make the fused seismic data closest to the expected data, so as to improve the resolution of seismic data. It does not need to be parameterized and has high computational efficiency. The test results of model data and real seismic data show that the method is effective and efficient in improving the resolution of seismic data. Note: This paper was accepted into the Technical Program but was not presented at IMAGE 2021 in Denver, Colorado.