Large number of tiny nodes that are used in wireless sensor networks (WSNs) sense and collect data with the help of limited power source which are embedded in them. Routing of data is one of the main factor that decides network lifetime as data transmission process is an energy intensive process and the amount of energy exhausted is much higher than the energy consumed for computational process if the separation between nodes and sink is of notable distance. This analytical study is based on heterogeneous low energy adaptive clustering hierarchy (LEACH) and enhanced stable election protocol (SEP-E). This paper focusses on the analytical study of distance effect on heterogeneous network performance based on threshold condition and probability of cluster head (CH) selection to provide better idea about the dependence factor of proper cluster head selection and also analyses the effect of distance on CH selection process.