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In wavelength division multiplexing (WDM) optical networks, lightpaths are high-capacity all-optical channels. A single fiber failure can lead to the failure of all the lightpaths traversing the fiber and results in significant loss. Therefore, effective survivability mechanisms are needed to minimize the data loss. This paper proposes a dynamic sub-path protection algorithm (DSPP) for multi-granularity traffic in WDM mesh networks. The idea of DSPP is to segment each primary path into several equal-length sub-paths, and to compute their corresponding backup paths under shared risk link groups (SRLG) constraints, respectively. Based on dynamic traffic with different load, the performance of DSPP has been investigated via simulations. The results show that DSPP can make the tradeoffs between the resource utilization and restoration time.