The aim of this study was to increase knowledge of evaporitic rock mechanics and apply computational mechanics in numerical modeling of structural behavior of oil wells in areas of salt. Evaporitic rock samples of anhydrite, halite, carnallite e tachyhydrite and belonging to the evaporitic sequence Ibura from the Muribeca formation, coring in oil wells, were subjected to laboratory tests of rock mechanics, especially the triaxial creep under different states of stress and temperature. Under the same conditions of triaxial creep tachyhydrite developed specific axial strain rate about 107 times that of halite and 2.7 times that of carnallite, and anhydrite remains essentially undeformed. For the triaxial creep of halite in the temperature of 86 degrees Celsius it was possible to define the double mechanism creep law, while for carnallite and tachyhydrite this occurred at temperatures of 130 and 86 degrees Celsius, respectively. The creep rate in steady state condition obtained by numerical simulation accurately reproduced the experimental results of the triaxial creep tests, with a relative error less than 1 percent. Through laboratory tests geomechanical creep parameters of the tested rocks were obtained and then applied in numerical simulation models, designed to evaluate the influence of various parameters in the well stability and casing design. The lack of consideration of the geomechanical interaction between the salt structures and the host rock can lead to drilling failures in wells near such structures due to the salt halokinesis process that changes the gravitational stress state.