Enzymes catalyze a number of reactions with high efficiency and stereoselectivity. It is thought that strong, direct, and permanent electric fields within the active site of the enzyme contribute to the superb catalytic efficiency of enzymes. This effect is called electrostatic preorganization. Most often, electrostatic preorganization is analyzed by evaluating the local electric field at discrete points, such as a bond center, using, for example, vibrational Stark spectroscopy. However, the protein macromolecule creates a significantly more complicated heterogeneous electric field that affects the entire active site, whose total change density thus gets perturbed, with the implications for the catalytic mechanism. We present a global distribution of streamlines method to analyze the topology of the heterogeneous electric fields in within an enzyme active site. We focus on ketosteroid isomerase (KSI), an enzyme known to produce a field on the order of 100 MV/cm along the critical carbonyl bond in the steroid substrate. We investigate how mutations known to cause activity changes, as well as applied small external electric fields perturb the electric fields in the KSI active site. Where classical single-point analysis failed, using our method allowed us to properly correlate global changes in the electric field to changes in the reaction barrier. We were able to show that topologically similar local electric fields had similar reaction barriers.