Geothermal modelling has been carried out at 9 locations in or around the Stansbury Basin, at the request of Canyon Australia, with the aim of examining the basin's thermal history and deducing a likely time of petroleum generation. A total of 20 models were made, using BasinMod software on a Sun Spark station, with a minimum of two and a maximum of four models at each site. All models were made using geothermal gradients rather than heat flow modelling, and compaction was not calculated. In some models the assumed base geothermal gradient value of 35 degrees C/km was increased to a value of 50 degrees C/km between 481 to 511 Ma to simulate the effects of higher heat flow associated with the Delamerian Orogeny. The range of thermal history models produced by this study were mostly unconstrained by thermal maturation parameters, and so it is difficult to evaluate their accuracy. But examining the models where maturation data is available, certain generalisations can be made. In both the Stansbury West 1 and Sellick models, if significant past erosion is not introduced, the calculated source bed maturity was less than the measured value. Assuming that the measured vitrinite reflectance equivalence data is accurate, then kilometre - scale erosion is needed at some time in the past. Whilst maturation data from the Permian section are scarce, these rocks are likely to be of too low a maturity to have experienced the temperatures needed to cause the high maturities observed in the Cambrian formations. Thus the most likely time for uplift and erosion, possibly associated with elevated geothermal gradients, is that of the Delamerian Orogeny. In locations with this style of thermal history, traps formed before or during the Delamerian Orogeny would be more likely to have received a hydrocarbon charge. Unfortunately, the locations where maturation data are available are separated from the areas of petroleum play interest by large faults, and so locations modelled with extrapolated data should be viewed with caution. Modelling of Canyon's selected offshore locations, assuming simple progressive burial with a geothermal gradient of 35 degrees C/km, suggests that much of the Cambrian section varies from immature to mature. Where maturities are suitable, the models suggest that the Cambrian rocks could also be sourcing petroleum accumulations trapped in younger post-Delamerian structures. Increasing the geothermal gradient from 35 to 50 degrees C at approximately 500 Ma tends to push the timing of maximum temperature and peak hydrocarbon generation by the Lower Cambrian section back to the Delamerian Orogeny. Any extra burial followed by erosion during the Delamerian Orogeny would tend to amplify this effect.