In this work, a time series control model was identified to describe the rate of penetration in a reference oil drilling well named V∗∗∗. The oil field development plan was named VEL (located in the Magdalena Medio Valley, municipality of Puerto Boyacá - Colombia). The fitted values of the identified model and its 95% confidence interval can be used to guide the wells drilling process for the same field in order to reduce uncertainty in operation times. It is necessary to make a comparative analysis between different ROP drilling processes to verify that the presented methodology can be used in the entire field.MSC: 62F86, 62L12, 62M10, 62P30, 80M50