Study on calculation of rock pressure for ultra-shallow tunnel in poor surrounding rock and its tunneling procedure

A computational method of rock pressure applied to an ultra-shallow tunnel is presented by key block theory, and its mathematical formula is proposed according to a mechanical tunnel model with super-shallow depth. Theoretical analysis shows that the tunnel is subject to asymmetric rock pressure due to oblique topography. The rock pressure applied to the tunnel crown and sidewall is closely related to the surrounding rock bulk density, tunnel size, depth and angle of oblique ground slope. The rock pressure applied to the tunnel crown is much greater than that to the sidewalls, and the load applied to the left side-wall is also greater than that to the right sidewall. Mean-while, the safety of the lining for an ultra-shallow tunnel in strata with inclined surface is affected by rock pressure and tunnel support parameters. Steel pipe grouting from ground surface is used to consolidate the unfavorable surrounding rock before tunnel excavation, and the reinforcing scope is proposed according to the analysis of the asymmetric load induced by tunnel excavation in weak rock with inclined ground surface. The tunneling procedure of bench cut method with pipe roof protection is still discussed and carried out in this paper according to the special geological condition. The method and tunneling procedure have been successfully utilized to design and drive a real expressway tunnel. The practice in building the super-shallow tunnel＆amp;nbsp;has proved the feasibility of the calculation method and tunneling procedure presented in this paper.

Energy efficiency optimization for a RIS-assisted multi-cell communication system based on a practical RIS power consumption model

Reconfigurable intelligent surface(RIS)is widely accepted as a potential technology to assist in communication between base stations(BSs)and users in edge areas.We study the energy efficiency of a RIS-assisted multi-cell communication system with a realistic RIS power consumption model.With the goal of maximizing the energy efficiency of the system,we optimize the transmit beamforming vectors at the BS and the RIS phase shift matrix by a proposed alternative optimization algorithm.First,the transmit beamforming vector is optimized by solving the transformed weighted minimum mean square error(WMMSE)problem.Subsequently,to solve the inconvenience incurred by the discrete relationship between the RIS reflecting unit power consumption and its discrete phase shift,we use a continuous function to approximate their relationship.With this approximation,we can use the majorization minimization(MM)technique to optimize the continuous RIS phase shifts,and then quantize the obtained phase shifts to discrete ones.Simulation results demonstrate that the energy efficiency of the system is effectively optimized by the proposed algorithm.