Abstract:We utilize 195 finite fault models of strong earthquakes (MW≥7.0) released by USGS from 1990 to 2023. We employ the method of least squares fitting to derive new empirical relationships between moment magnitude(MW) and rupture length(RL), rupture width(RW), and rupture area(RA), respectively. Taking strike-slip, reverse, and normal faulting earthquakes as examples, we obtain geometric parameters of different fault types based on the new empirical relationships, which we then utilize to calculate coseismic Coulomb stress changes. The results indicate that the spatial distribution of stress enhancement and decrease obtained using the new empirical formulas closely align with the results obtained from actual rupture models, thus providing the effectiveness of the new relationships.