<p>In this paper, we propose an efficient time algorithm based on time filter to enhance the numerical accuracy and convergence order for solving the poroelastic model. The method is a combination of first order Backward Euler method and time filter algorithm to improve the convergence order from first to second order with almost no increasing computational complexity, and it takes less time than other second-order algorithms. The existence and uniqueness of the solution and error estimation of the Backward Euler plus time filter algorithm are analyzed theoretically. Further, in the experimental part, we present three numerical experiments to verify the second order convergence, high efficiency and effectiveness of the Backward Euler plus time filter algorithm. In addition, the algorithm has been successfully applied to simulate the deformability of a single skeleton particle for different materials and this application shows the potential of this model in practical engineering problems involving complex material behavior.</p>