A method for pore pressure prediction. The method includes obtaining a stress sensitivity coefficient, obtaining a compressional wave (P-wave) velocity and a shear wave (S-wave) velocity for a pre-drill location and obtaining a first predicted pore pressure. Further, the method includes iteratively performing calculating a total stress value associated with the pre-drill location using the first predicted pore pressure associated with the pre-drill location, and calculating a second predicted pore pressure associated with the pre-drill location using a stress-pressure relationship equation, a stress-velocity relationship equation, the stress sensitivity coefficient, a reference location, and at least one selected from a group consisting of the P-wave velocity and the S-wave velocity for the pre-drill location, and adjusting a drilling operation associated with the pre-drill location, based on the second predicted pore pressure.