Due to the water shortage in the state of Wyoming as a result of the warm temperatures and relatively little precipitations, development of a contaminant-leaching model for aquifer storage and recovery (ASR) was considered as an alternative option to replace some other more expensive technologies. Therefore, ASR model using batch and continuous flow leaching tests was conducted under different conditions, and the associated leaching models were obtained. Results from this study have indicated that only 4 (Boron, Barium, Manganese, and Vanadium) of the total 15 metals present in the sandstone rocks were soluble and fall within the detectable range of the inductively coupled plasma calibration curve. The metals’ rates of dissociation are dependent on pH, water injection flow rate, and temperature variation. The kinetic study of leachable metal species fitted in a first-order kinetic model. The solubility product constants, K_sp, were measured over a specified temperature range in order to determine the thermodynamic quantities, enthalpies, ΔH, and entropies, ΔS, for the leachable elements.