In this paper,a metal-insulator-metal (MIM) surface plasmonic waveguide(SPW) structure based on concentric nanoring resonators is designed,of which the outer resonator is a perfect ring,and the inner one has a narrow slit.The numerical and analytical methods are used to investigate thetransmission characteristics under different structural parameters.It is found that when the split width is θ=5° and its rotation angle is φ=45°,a clear plasmonic induced absorption (PIA) effect is emerged at the wavelength of 674 nm.Based on this result,the application of the proposed waveguide structure in the area of refractive index sensor is studied at first.The result shows that the sensitivity is larger than 600 nm／RIU,and its maximum figure of merit (FOM) is about 700.Second,the characteristics of fast-and slow-light effects are studied,and it is shown that optical delay time of about -0.081 ps is occurred at the PIA transmission dip,which means the larger abnormal dispersion and fast-light effect.While optical delay time of about 0.045 ps and 0.043 ps occur at the two transmission peaks on both sides of the PIA dip,which means the larger normal dispersion and slow-light effect.This surface plasmonic optical waveguide structure has potential application prospects in the fields of nano refractive index sensors,nano filters,nano all-optical switches,and on-chip integrating of nano optical devices.