In cooperation with the Stanford Linear Accelerator Complex National laboratory (SLAC), this research aims to predict the amount of residual radiation created in the Matter in Extreme Conditions Upgrade (MEC-U) Petawatt laser facility. Using the FLUKA Monte Carlo radiation transport code, the simulate the primary radiation expected during a certain length of operation at this facility is simulated, and then determined dose rates to expect at certain time intervals in between laser operation. This data can then be used to help make decisions about which materials the facility should be using for components that are in this radiation field. It can also, very importantly, be used to determine when it could be safe for personnel to enter the room, and where in the room we may expect to be unsafe. From a radiation protection perspective, the end goal of this research is to help ensure safe operation in a facility that will be exposed to high amounts of radiation.