The mechanisms that generate pore pressure in subsurface have been the subject of several research over the years. The prior identification of anomalous pressure zones helps to reduce non-productive time (NPT), avoiding stoppages, as well as preventing accidents during the drilling stage of the oil well. In this context, this work studies pore pressure prediction methods from petrophysical profiles and drilling parameters. With this objective, a literature review is presented covering both the fundamental concepts and the existing pore pressure prediction methods. Generally speaking, pore pressure estimates can be divided into three steps: (1) before drilling, where petrophysical profiles from correlation wells are used to estimate pore pressure; (2) during the well execution stage, in which drilling parameters are generally used, in addition to identified drilling events, and when available, real-time logging tools and pressure data; and (3) finally in the post-drilling stage, where the cable profiles, the possible Logging While Drilling (LWD) profiles, the drilling events and the pressure tapping data in the back analysis are used. This data is used to calibrate the previously estimated pore pressure for the well and feed the database of oil wells drilled in a certain region. In this work, case studies were carried out, with estimates of pore pressure curves, which were compared to the values of well pressure tests, when available. In addition to pressure tests, events that indicate high pore pressure can also be used in calibration, for example torque, drag, chipped cavings along clayey formations, inflows in permeable stretches, among other indicators. It was found that the pressure gradients estimated by the Bowers Method shows greater oscillation of the values when compared to those estimated by the Eaton Method. The good applicability of the Eaton Method is related to the subcompaction mechanism predominant in the studied basin. It was also noticed that in the comparison between the Exponent d and DEMSE methods, the result of the pore pressure gradient obtained through the Exponent d is subject to less interference in the estimates in relation to the DEMSE method.