Ground layer adaptive optics (GLAO) can significantly decrease the size of the point spread function (PSF) and increase the energy concentration of PSFs over a large field of view at visible and near-infrared wavelengths. This improvement can be realized using a single, relatively low-order deformable mirror (DM) to correct the wavefront errors from low altitude turbulence. Here we present GLAO modeling results from a feasibility study performed for the Gemini Observatory. Using five separate analytic and Monte Carlo models to provide simulations over the large available parameter space, we have completed a number of trade studies exploring the impact of changing field of view, number and geometry of laser guide stars, DM conjugate altitude and DM actuator density on the GLAO performance measured over a range of scientific wavelengths and turbulence profiles.