Development of method for stress–strain prediction in retaining structures at tunnel portals under landslide forces and seismic loads

The aim of the study is to develop a method for the stress–strain prediction in retaining structures of tunnel portals with regard to long-term rheological deformation and subsequent seismic loading of rock mass. A sequential calculation approach is proposed and substantiated, meant for testing retaining structures under the influence of a control earthquake and taking into account pre-history of the stress–strain behavior of a landslide slope. The rheological parameters of a soil creep model are determined from the retrospective analysis and comparison of the estimated displacements with the data of geotechnical monitoring. The comparison of the modeling results obtained with and without regard to soil rheology made it possible to determine the influence of the long-term deformation on the contact stress, internal forces and their distribution in constructional units. The proposed method provides the direct dynamic calculation in the plane deformation formulation with the later transition to a spatial model with the import of the obtained time-dependent displacements of points of a structure. The stresses in reinforcement and the development of damage zones in concrete are estimated in the spatial formulation. Such approach ensures an integrated analysis of landslide forces, rheological factors and seismic loads, and improves confidence in estimate of behavior of a structure. The method is applicable in design and verification of retaining structures at tunnel portals in landslide slopes in seismically active regions subject to calibration of soil parameters by the data of a certain object. 

Belyakov N. A., Potemkin D. A., Piagai P. V. Development of method for stressstrain prediction in retaining structures at tunnel portals under landslide forces and seismic loads. MIAB. Mining Inf. Anal. Bull. 2026;(12):32-47. [In Russ]. DOI: 10.25018/0236_1493_2026_12_0_32.

N.A. Belyakov¹, Cand. Sci. (Eng.), Assistant Professor, e-mail: BelyakovNA@pers.spmi.ru, ORCID ID: 0000-0002-9754-501X,
D.A. Potemkin¹, Cand. Sci. (Eng.), Assistant Professor, e-mail: PotemkinDA@pers.spmi.ru, ORCID ID: 0000-0003-3129-3865,
P.V. Piagai ¹, Graduate Student, e-mail: ppyagai@gmail.com, ORCID ID: 0009-0003-7657-5513,
¹ Empress Catherine II Saint-Petersburg Mining University, 199106, Saint-Petersburg, Russia.

P.V. Piagai, e-mail: ppyagai@gmail.com.

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