In order to meet the requirements of high detection efficiency in actual tunnel engineering,the filtering algorithm was used to calculate the equivalent resistivity in the time domain,and the finite element method was used for calculation.A forward modeling method of full-time induced polarization advance tunnel detection based on the filtering algorithm was proposed.To address the problem of poor convergence of Cole-Cole expression in time domain,the filtering algorithm was introduced to calculate the equivalent resistivity in time domain induced polarization,improving the convergence of algorithm.To solve the problem that the large-scale matrix solution affects the computational efficiency in the forward modeling process,the OpenMP parallel algorithm was introduced to realize the accelerated operation of the full-time domain induced polarization advanced detection forward modeling of the tunnel.Finally,numerical examples and physical model tests were carried out.The results show that the forward modeling method has a sensitive response to abnormal bodies.The full-time domain induced polarization forward acceleration algorithm has significant advantages in accelerating forward modeling speed.The forward data obtained by the full-time domain induced polarization forward detection method based on the filtering algorithm is in good agreement with the actual detection data,which lays a foundation for the application of the full-time domain induced polarization inversion method in the actual project of tunnel geological prediction.