1. A method for generating a geologic model having one or more material properties for a faulted subsurface region comprising: (a) 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; (b) parameterizing each of the corresponding fault surfaces of the one or more faults, wherein parameterizing each of the corresponding fault surfaces of the one or more faults comprises solving a diffusion equation to establish a correspondence between points on the corresponding fault surfaces; (c) 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 reduce or minimize nodal slips across the faults and to generate a displacement map, wherein the displacement map relates points between the physical space and a design spaces; (d) 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; (e) assigning values of one or more material properties in the design domain to form a populated design model; (f) 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 (g) using the populated geologic model for hydrocarbon operations associated with the sub surface region.