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In this paper,we first model the mining structure as a arched shape in terms of the tunnel geometry.Based on the regularly placement of nodes in that model,a set of deployment patterns for seamless coverage and k-connectivity is proposed,i.e.1-and 2-connectivity.Further,we figure out the maximum horizontal distance of tangent plane to determine the placement of nodes for k-coverage(k=1,2).Besides,the mathematical relations between the communication radius and the sensing radius are derived,when the network keeps k-coverage(k=1,2) and k-connectivity(k=2,3) under certain regularity constrains for various patterns.Finally,we demonstrate the optimality of several approaches that we have proposed in the aspect of energy consumption and network lifetime.
In this paper, we first model the mining structure as a arched shape in terms of the tunnel geometry. Based on the regular placement of nodes in that model, a set of deployment patterns for seamless coverage and k-connectivity is proposed, ie1- and 2-connectivity. Facult, we figure out the maximum horizontal distance of tangent plane to determine the placement of nodes for k-coverage (k = 1,2) .Besides, the mathematical relations between the communication radius and the sensing radius are derived , when the network keeps k-coverage (k = 1,2) and k-connectivity (k = 2,3) under certain regularity constraints for various patterns. Finally, we demonstrate the optimality of several approaches that we have proposed in the aspect of energy consumption and network lifetime.