Managing discontinuities in geologic models

A method and system are described for generating a geologic model having material properties for a faulted subsurface region. The method and system involve parameterizing corresponding fault surfaces and solving an energy optimization equation and/or conservation law equation for the corresponding fault surfaces based on parameterized nodes on the fault surfaces to generate a displacement map. The displacement map is used to map a geologic model from the physical space to the design space, where it is populated with material properties. The resulting populated geologic model may be used for hydrocarbon operations associated with the subsurface region.