1. A method for generating a geologic model having one or more material properties for a faulted subsurface region comprising: obtaining a geologic model in physical space representing a subsurface region, wherein the subsurface region includes one or more faults and one or more horizons, wherein the geologic model includes a mesh that includes a plurality of nodes and forms a plurality of cells and each of the one or more faults has corresponding fault surfaces; parameterizing each of the corresponding fault surfaces of the one or more faults; solving one of an energy optimization equation and conservation law equation for the corresponding fault surfaces based on parameterized nodes on the fault surfaces to generate a displacement map, wherein the displacement map relates points between the physical space and a design spaces; mapping the geologic model in the physical space to create a design model in the design space based on the displacement map, wherein the design model forms a unfaulted volume that includes the one or more horizons from the geologic model in the physical space and the design model includes an updated mesh that forms a design domain; assigning values of one or more material properties in the design domain to form a populated design model; mapping the populated design model to create a populated geologic model in the physical space based on the displacement map, wherein the populated geologic model includes the mesh, the plurality of cells, and assigned values of material properties; and using the populated geologic model for hydrocarbon operations associated with the subsurface region.