This paper: 1) introduces the application of analytical solutions for representing sedimentary basin geothermal reservoirs and 2) compares results from those analytical solutions against results from numerical models to elucidate and further demonstrate the pros and cons of the two methods for representing the subsurface. Our application is primarily focused on using techniques to represent sedimentary basin reservoirs in coupled models that estimate power generation, but we also investigate reservoir heat depletion because this may be important in investigations of geothermal power generation over decadal periods (i.e., the lifetime of a geothermal power plant). One novel aspect of our work is the combination of the analytical reservoir solutions with the power cycle model to calculate power generation, which has not been done in the context of sedimentary basin geothermal to our knowledge. Given the tradeoffs between the analytical and numerical methods and the broad applications for coupled models that can estimate electricity generation from sedimentary basin geothermal power plants, it is impossible to claim that one method is always more favorable, precise, or accurate compared to the other. However, our results offer insights that can guide people who are deciding how to represent sedimentary basin geothermal reservoirs when investigating geothermal power generation. In Sec. 2, we introduce analytical solutions for reservoir impedance, heat loss from a wellbore, and reservoir heat depletion. Since we compare to a numerical solution and calculate power generation, we also review the numerical reservoir simulator and power cycle model from , which remain largely unchanged from that work. In Sec. 3, we compare the analytical and numerical solutions and their effect on the predicted power generation and reservoir lifetime. In Sec. 4, we provide conclusions.