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For many geotechnological developments in geoenergy and geoengineering, it is important to quantify the potential induced seismic hazard of the project site. The seismogenic index is a quantitative characteristic of a subsurface seismogenic response to a stress perturbation. We derive a relationship between the classical formulation of the seismogenic index, the rate and state friction parameters of seismogenic faults, and the pressure-rate-based formulation that has been successfully applied previously to project seismicity induced by massive saltwater disposals in the subsurface. We propose a physics-based seismogenic index approach that successfully predicts seismicity induced in the crystalline basement by massive fluid disposal in overlying sediments. The approach has only few free parameters and can be used for site characterization and control of induced seismicity. We demonstrate our approach using the example of seismicity induced by massive saltwater disposals in the crystalline basement of Oklahoma. The seismogenic index model of fluid-disposal induced seismicity indicates a rather narrow band of critical pressure perturbations (below 0.15 MPa) and a very high average seismogenic index of -0.4 of the crystalline basement in Oklahoma. The log-normal distribution of the criticality seems best to represent the observations.