Fractures widely exist in the subsurface and play a critical role in transport processes in porous media. The Fracture Pipe Network Model (FPNM) is an efficient method to represent and calculate fluid flow properties as a particular part of Discrete Fracture Networks (DFNs) method compared to direct numerical simulations. However, the current FPNM formulation can result in large deviations in computed transport properties when applied to complex interconnected DFNs, although it can produce good results for simple DFNs. To enhance the performance and versatility of current FPNMs, four modifications to the FPNM formulation are produced from different perspectives to improve the accuracy of pipe conductance assignment and ensure the correct topology of the fracture network. Two verification examples are presented and the results show the modifications significantly improve the accuracy of computed flow and transport properties in complex DFNs.