Application of the GCR-4 Method in Seismic Data Analysis

Seismic data analysis traditionally relies on dimensionality reduction techniques such as PCA, t-SNE, or UMAP to extract latent structure from high-dimensional waveforms. However, these methods often distort the geometric continuity of seismic signals, especially when dealing with dynamic, multi-attribute time series. This paper introduces the GCR4 (Geometric Coordinates Reduction to 4) method as a geometry-preserving alternative for seismic data interpretation. GCR-4 constructs a four-dimensional geometric object that retains trajectory, curvature, continuity, and energy distribution of seismic events. We demonstrate how GCR-4 enhances anomaly detection, phase identification, and structural interpretation in seismic datasets.