https://doi.org/10.1140/epjp/s13360-025-06446-2
Regular Article
Study on the scattering law of plane SV wave by a circular-arc canyon in saturated frozen soil half-space
1
School of Civil Engineering and Water Resources, Qinghai University, 810016, Xining, Qinghai, China
2
Qinghai Provincial Key Laboratory of Energy-Saving Building Materials and Engineering Safety, 810016, Xining, China
3
School of Civil Engineering, Lanzhou University of Technology, 730050, Lanzhou, Gansu, China
Received:
21
November
2024
Accepted:
16
May
2025
Published online:
18
June
2025
This study investigates the scattering behavior of plane SV wave in a saturated frozen soil half-space with a circular-arc canyon. The topic is of growing importance for seismic safety evaluation in cold-region infrastructure, where ground motion is strongly influenced by frozen soil properties and terrain geometry; by extending conventional single-phase and multiphase wave propagation models to incorporate the ice phase and its coupling effects, this work enables more accurate simulation of wave behavior in frozen soils typical of high-altitude, cold-region environments. An analytical approach based on frozen saturated porous media and the Fourier–Bessel series expansion is developed to assess how temperature, wave frequency, incidence angle, porosity, and ice–soil contact influence surface displacement. Key results show that horizontal displacement increases by over 50% as temperature decreases, while vertical displacement undergoes abrupt changes at − 0.3 °C. Displacement amplitudes increase by up to 97% with rising frequency, and spatial amplification becomes more asymmetric with steeper canyons. Increasing porosity reduces horizontal displacement by more than 40%, and vertical displacement becomes more sensitive in less compact soils. The influence of the contact parameter is negligible at − 0.3 °C but becomes significant at − 0.7 °C, with nonlinear effects observed at higher values. These findings offer new insights into wave–terrain interaction in frozen porous media and provide theoretical guidance for seismic design in permafrost regions.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
