The use of frequency-domain induced polarization measurements in hydro-geophysical and exploratory studies has been expanding in recent years due to the greater degree of freedom. Accordingly, much study is needed on this matter. While using a specific frequency spectrum, much more information and interpretive parameters are available about the study area, therefore, the interpretation uncertainty will diminish. This could be achieved by using a comprehensive and general model which is appropriate for electrical features variation by frequency, specifically the Cole-Cole model. By using the SIP method and applying a defined broad of frequencies, it is possible to describe the properties, spectral behavior, and intensity of each single model parameter. To do so, by writing required MATLAB codes and choosing a synthetic model for modeling the ambiance frequency response, the forward problem was solved to acquire apparent impedance in a certain broad of frequencies and then, related apparent resistivity and phase angle pseudo-sections for the synthetic model were obtained. The results of this study are a significant step for inverting frequency IP data.