All sensor nodes are assumed in the analysis to be randomly deployed in the network. We have the following results.
Theorem 1: Given the successful communication probability p; then we know the low bound of successful delivery rate for delivering with LR segments and all segments are
pLLr ×− → soi− → Cr× LR and pLLr × 2πar
respectively, where LL is the length of a segment and LL =c −c 1 + (a−c)(a+c)z2 c4 dz.