Study on the compatibilization of hierarchical models for tunnel design

Abstract This work presents a study on the compatibilization of the lining load results between continuous ground mass and bedded beam models for tunnel design, through the calibration of the loads imposed to the bedded beam models. A review on compatibilization premises and the computation of “ideal” compatibilization loads, which yield identical results between model hierarchies is presented. A case study was developed, illustrating that even with significant simplification of the calibrated loads, if they bear magnitude and distribution that resembles those of the “ideal” compatibilization load, reasonable compatibility, potentially better than that of usual generic imposed loads, may be obtained. Motivated by this observation, a parametric study on the magnitude and distribution of the “ideal” compatibilization load was performed, yielding conclusions that foresee the estimation of simplified compatibilization loads directly from the physical problem definition.

摘要 本研究围绕隧道设计领域中连续岩体（continuous ground mass）与层合梁模型（bedded beam models）的衬砌荷载结果兼容匹配问题，通过校准施加于层合梁模型的荷载开展相关研究。本文首先综述了兼容匹配的前提条件，以及可使不同模型层级输出完全一致结果的“理想”兼容荷载的计算方法。随后开展了一项案例研究，结果表明：即便对校准后的荷载进行大幅简化，只要其荷载幅值与分布形式与“理想”兼容荷载相近，即可获得合理的兼容效果，且该效果大概率优于常规通用施加荷载的兼容表现。基于上述发现，本研究针对“理想”兼容荷载的幅值与分布形式开展了参数化研究，最终得出可直接根据物理问题定义估算简化兼容荷载的相关结论。