Abstract
We adapt the one-lag-correlation (OLC) method to estimate the local dips of seismic events. The resulting local dips have extensive applications in exploration geophysics, such as seismic inversion regularization, computation of seismic attributes such as coherence cube, and facilitating structural-oriented smoothing and extrapolation techniques. Compared with the widely adopted structure tensor (ST) method, our OLC algorithm exhibits notable advantages. The OLC method uses a recursive calculation process that yields significant computational efficiency, resulting in approximately 100 times faster performance for 3D scenarios. The fundamental principle of this novel approach lies in the computation of local dips by using the ratio of two inner products, i.e., OLC, performed on a 2D/3D array along the vertical and horizontal axes, respectively. Crucially, the elements of this array consist of complex numbers derived from the application of the Hilbert transform on the corresponding real-number inputs. Furthermore, the implementation of this algorithm is remarkably straightforward, as exemplified by the concise nature of the code, which requires only ten lines of programming instructions. The OLC method excels in accuracy, surpassing the performance of the ST method, and is more robust to random noise. We show these properties of the OLC approach using synthetic and field data examples.
Paper Information:
Liu, H., Y. Luo, Y. Liu, and L. Fu, 2024, Fast computation of local dips using the one-lag correlation method: Geophysics, 89 (6), B431-V502, doi: 10.1190/geo2023-0407.1.
