Sandstone samples were collected from the surface type section of the Permo-Carboniferous Shajara Formation for detailed reservoir characterization. Capillary pressure experiment was performed to contact porosity and permeability was derived from the Data. Resistivity was calculated from the distribution of pores and the fractal dimension was proven from the relationship between water saturation and resistivity. In addition to field observation and obtained results of fractal dimension, the Shajara reservoirs of the Permo-Carboniferous Shajara Formation were divided here into three fractal dimension units. The units from bottom to top are: Lower Shajara Resistivity Fractal dimension Unit, Middle Shajara Resistivity Fractal Dimension Unit, and Upper Shajara Resistivity Fractal Dimension Unit. These units were also proved by geometric relaxation time of induced polarization fractal dimension. It was found that the resistivity fractal dimension is similar to the geometric relaxation time of induced polarization. It was also reported that the obtained fractal dimension speeds with increasing resistivity and relaxation time due to an increase in pore connectivity.