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IssuesArchive of Issues2025-3pp.1761-1775

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Jianliu Yan, Qiang Ma, and Meng Gao, "Study on the Dynamic Response Characteristics of Plane P-Waves in Free-Field Sites of Unsaturated Soils," Mech. Solids. 60 (3), 1761-1775 (2025)
Year 2025 Volume 60 Number 3 Pages 1761-1775
DOI 10.1134/S0025654425601272
Title Study on the Dynamic Response Characteristics of Plane P-Waves in Free-Field Sites of Unsaturated Soils
Author(s) Jianliu Yan (School of Civil Engineering and Water Resources, Qinghai University, Xining, Qinghai, 810016 China)
Qiang Ma (School of Civil Engineering and Water Resources, Qinghai University, Xining, Qinghai, 810016 China; Key Laboratory of Energy-Saving Building Materials and Engineering Safety, Qinghai Province, China, maqiang0104@163.com)
Meng Gao (Disaster Prevention and Mitigation (College of Civil Engineering and Architecture), Shandong University of Science and Technology, Qingdao, 266590 China, gmxyz@sdust.edu.cn)
Abstract Based on the wave theory of unsaturated porous medium, this paper establishes a free-field model of unsaturated soil with a thickness of H overlying a horizontal, uniform, semi-infinite bedrock layer under P-wave incidence. Drawing upon the Helmholtz principle, the wave field within an unsaturated soil site is examined, and the analytical solutions for the dispersion characteristics of bulk waves and the attenuation coefficient are derived. Through numerical simulations, the dispersion phenomenon induced by plane P-wave incidence is analyzed, and the effects of frequency, angle of incidence, saturation level, porosity, and soil layer thickness on the amplitude attenuation coefficient in an unsaturated soil free-field under P-wave excitation are discussed. The findings show that within a specific frequency range, P1-wave and S-wave in an unsaturated soil free-field exhibit no dispersion characteristics, whereas P2-wave and P3-wave demonstrate distinct dispersion behavior. The amplitude attenuation coefficient generally rises with increasing frequency and initially increases before decreasing as the incident angle grows. Simultaneously, the change of amplitude attenuation coefficient with saturation, porosity and soil thickness shows different trends in different incident angle ranges. However, at most incident angles, the amplitude attenuation coefficient is greater than 1, indicating that seismic waves usually produce vibration amplification effect, and vibration attenuation effect occurs only when the incident angle is close to vertical.
Keywords unsaturated soil, wave field analysis, plane P-wave, dispersion phenomenon, amplitude attenuation coefficient
Received 18 March 2025Revised 21 April 2025Accepted 23 April 2025
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