Response displacement method is a kind of simple and practical analysis method for aseismic design of soft soil tunnel

for the method can reflect dynamic reaction behavior of soft soil tunnel under aseismic load. Taking square section tunnel for example

the accuracy of the method has been verified by comparing its predictions with results from a soil-structure whole dynamic finite element method. Based on plane strain assumption

the analytical expression for soil spring stiffness has been deduced from the function of complex variable method in elastic theory for the purpose of simplifying the calculation process of response displacement method. The analytical solution for soil spring stiffness has been verified by comparing its predictions with results from finite element method. The analytical expression for soil spring stiffness has been applied to response displacement method. Meanwhile

simplified calculation models for shear stress and seismic response displacement of free soil field have been adopted. The whole dynamic finite element method has been used to validate the accuracy of simplified response displacement method for transverse secion aseismic analysis of soft soil tunnel