Abstract Hydraulic fracturing is a well stimulation operation which is done with the purpose to increase the production of oil wells, and due to its associated high costs a preliminary evaluation using computational methods is required. Carrying out a hydraulically fracture in previously fractured wells could represent several benefits if the new fracture propagates towards different direction than the first did, thus the fracture can reach and drainage new regions in the reservoir. The success of these operations depends on the behavior of the horizontal stresses, because they are the ones that determine the orientation and the geometry of the hydraulic fracture, the fluid production and injection that take place within both operations alter the stress state. This paper shows the mathematical analysis developed to model the horizontal stress reorientation and the conditioning of a coupled geomechanics-flow numerical simulator to calculate the angle of reorientation, and the results obtained using the data of two wells located in Cupiagua field, Colombia.