A convective-scale static B is extended and well-constructed in this study for convective scales including the capability of direct assimilation of radar reflectivity. The development includes 1) adding additional control variables for convective scales; 2) computing B statistics adaptively; 3) allowing for geographical variations. The impact of the newly developed static B is firstly examined on the 8 May 2003 Oklahoma City tornadic supercell. Relative to experiment using full ensemble covariance (EnVar, Wang and Wang 2017), incorporating static B (Hybrid) remarkably reduces the spin-up time and better initializes the reflectivity of storms during the DA period. Consequently, the predicted reflectivity distributions in Hybrid fits better to the observations than that in EnVar. This convective hybrid EnVar with the newly developed static B is also tested over high impact convective scale weather over the CONUS. It is found Hybrid overall performs better than the pure EnVar during almost entire 18-h forecast, especially for high reflectivity thresholds.