Falloff/buildup tests with short injection/production time are common because of economical and operative reasons; there exist several works addressing the transient pressure tests analysis recorded under this flow conditions; however, there is no available a methodology that allows to analyze in an integral fashion the response observed under these situations. Furthermore, the two-region radial composite model (2RRCM), which considers an abrupt change in the properties of the concentric regions, is frecuently used.This study presents a general methodology for analyzing falloff/buildup tests, particularly with short injection/production time; this methodology consists of a simultaneous match of the shut-in pressure change, superposition and normalized impulse derivatives of the test, by using the pressure drop, first and second drawdown derivatives of the model. Furthermore, a new radial composite model with a fractal transition zone (RCMFT) is also proposed for falloff tests, which considers an intermediate region with fractal behavior between the invaded zone by the injected fluid and the non-invaded homogeneous zone. New short-, intermediate-, and long-time approximations for the pressure response are introduced.The results obtained with the proposed methodology are promising, since there is a better control on the flow model selection and parameters determination. The methodology is general for analyzing falloff/buildup tests, but it is particularly suitable in those cases where neither the conventional semi-log nor modern methods based on first derivative, can be applied. The RCMFT is helpfully for falloff tests in low mobility reservoirs, since it honors the flow dynamics occurring when an injected fluid displaces another one with lower mobility. From the field cases presented, there is evidence of the fingering phenomenon at greater scales than those ones of laboratory experiments. Therefore, it is recommendable to incorporate these tools into the transient pressure analysis workflow.