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ISSN 2096-7780 CN 10-1665/P

SV波斜入射下“海水-海床-基岩”耦合体系自由波场求解与地震响应分析

Analysis of free wave fields and seismic responses in a “seawater-seabed-bedrock” coupled system under oblique sv wave incidence

  • 摘要: 针对海洋工程复杂场地“海水-海床-基岩”多相介质体系的地震动输入难题,本文构建了一套适用于多层海域场地的高效地震动输入理论框架与数值模拟方法。基于波动理论推导了SV波斜入射下含上覆海水层半空间场地的自由场解析解,揭示了地震波在多相介质界面处的传播、反射、透射及波型转换规律。通过引入流、固介质人工边界条件实现无限域的高精度截断,并结合人工边界子结构法将自由场响应转化为等效节点力,成功实现了斜入射地震动在“海水-海床-基岩”耦合系统中的精准输入。依托单脉冲与典型地震波工况,对不同入射角下的多介质波场演化过程开展了对比验证。结果表明,各介质层监测点的位移响应数值解与理论解析解在振幅、相位及波形特征上均高度一致,最大相对误差严格控制在4%以内。本文所提方法为滨海核电厂等重大海洋基础设施的抗震韧性评估与安全设防提供了理论支撑与高效分析工具。

     

    Abstract: To address the challenge of seismic input for the “seawater-seabed-bedrock” multiphase medium system in complex marine engineering sites, this paper establishes an efficient theoretical framework and numerical simulation method for seismic input applicable to multi-layer marine sites. Based on wave theory, an analytical solution for the free-field response of a half-space site containing an overlying seawater layer under oblique SV wave incidence is derived, revealing the propagation, reflection, transmission, and waveform transformation patterns of seismic waves at the interfaces of the multiphase medium. By introducing artificial boundary conditions for fluid and solid media to achieve high-precision truncation of the infinite domain, and by combining the artificial boundary substructure method to convert the free-field response into equivalent node forces, the method successfully achieves precise input of obliquely incident seismic motion into the “seawater-seabed-bedrock” coupled system. Using single-pulse and typical seismic wave scenarios, comparative validation of the evolution of the multi-medium wavefield under different incidence angles was conducted. The results indicate that the numerical solutions for displacement responses at monitoring points in each medium layer are highly consistent with theoretical analytical solutions in terms of amplitude, phase, and waveform characteristics, with the maximum relative error strictly controlled within 4%. The method proposed in this paper provides theoretical support and an efficient analytical tool for assessing the seismic resilience and safety design of major marine infrastructure, such as coastal nuclear power plants.

     

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