Abstract: The quantitative description for coupling effect of vehicle vibration is one of the important issues and difficulties in risk control of overlapped tunnels operation. Based on the analysis for the influencing factors of the overlapped tunnels vibration coupling, the vibration coupling mechanism of the overlapped tunnel system after construction is quantitative analyzed in space and time. The expansibility in space and furtherance in time of the coupling mechanism are also pointed out. According to the intersecting line expansion formula of cylinder and cone, the quantitative description of the coupling regions are obtained. By applying Boussinesq solutions and disturbed state concept theory, the disturbing function of the operating tunnel is theoretically derived.3D analytical solutions for geotechnical state of vibration coupling regions in the overlapped tunnels is gotten. This research has a great significance for the engineering design and quantitative analysis of stability control of overlapped tunnels.