Through a deterministic geometric representation, known as the Fractal Multifractal Model, rainfall records are studied. the fractal dimension of simulated rain data and the fractal interpolation function is analyzed. For this, some methods including Box Counting and Hurst coefficient, which allow us to observe the type of noise present in the data used. Given a time series with data taken by pluviographs in Floridablanca, in Colombia rainfall variability and persistence of these data over time was analyzed.