岩土力学 ›› 2025, Vol. 46 ›› Issue (4): 1286-1293.doi: 10.16285/j.rsm.2024.0745CSTR: 32223.14.j.rsm.2024.0745

• 数值分析 • 上一篇    下一篇

高饱和度含气土动力问题的有限体积法分步解法

邹诗环1, 2,黄茂松1, 2,时振昊1, 2   

  1. 1.同济大学 地下建筑与工程系,上海 200092;2.同济大学 岩土及地下工程教育部重点实验室,上海 200092
  • 收稿日期:2024-06-17 接受日期:2024-08-29 出版日期:2025-04-11 发布日期:2025-04-15
  • 通讯作者: 黄茂松,男,1965年生,博士,教授,博士生导师,主要从事岩土工程方面的教学和科研工作。E-mail: mshuang@tongji.edu.cn
  • 作者简介:邹诗环,男,1997年生,博士研究生,主要从事海洋岩土数值计算方面的研究工作。E-mail: zoush@tongji.edu.cn
  • 基金资助:
    国家重点研发计划(No. 2021YFB2600700)

Staggered finite volume solutions for dynamic problems in highly saturated gassy soils

ZOU Shi-huan1, 2, HUANG Mao-song1, 2, SHI Zhen-hao1, 2   

  1. 1. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China; 2. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education, Tongji University, Shanghai 200092, China
  • Received:2024-06-17 Accepted:2024-08-29 Online:2025-04-11 Published:2025-04-15
  • Supported by:
    This work was supported by the National Key R&D Program of China (2021YFB2600700).

摘要: 我国东南沿海海域广泛分布含封闭小气泡的海洋软土,小气泡的存在将对其压缩性产生很大影响。有限体积法有助于建立与流体模拟一致的海床动力响应计算方法,进而实现波浪-海床相互作用的模拟。矢量分解方法能显著提高分步解法的稳定时间步长,且该解法易于在开源有限体积法平台OpenFOAM上实现,故其具有高效与通用的特点。算例分析表明:所提出的分步求解算法能合理反映高饱和度含气土的动力响应;小气泡的存在将极大降低高饱和度含气土的瞬时孔压响应与孔压幅值,且考虑重力作用时,饱和度的下降会导致动孔压相位滞后。

关键词: 高饱和度含气土, 矢量分解方法, 分步解法, 有限体积法, OpenFOAM

Abstract: Soft marine soils in southeastern coastal areas of China are widely distributed, with occluded gas bubbles that significantly impact soil compressibility. Finite volume (FV) method helps to develop consistent computation method of seabed dynamic response with fluid simulation, and then wave-seabed interaction can be simulated. Operator splitting technique can significantly enlarge time steps for stability of staggered algorithms, and such algorithms can easily be implemented on open-source FV calculation platform, OpenFOAM, thus they are efficient and versatile. Numerical cases indicate that the proposed staggered algorithm can reasonably reflect dynamic responses of highly saturated gassy soil. The existence of occluded bubbles can hugely lower transient responses and amplitudes of pore pressure of highly saturated gassy soil. Meanwhile, when considering gravity, decrease of saturation degree can lead to phase lag of dynamic pore pressure.

Key words: highly saturated gassy soil, operator splitting technique, staggered solution, finite volume method, OpenFOAM

中图分类号: TU 447
[1] 王刚, 邓泽之, 金伟, 张建民, . 潜蚀的局部守恒有限元和有限体积交替解法[J]. 岩土力学, 2024, 45(3): 917-926.
[2] 胡田飞, 王天亮, 常键, 刘建勇, 卢玉婷, . 基于有限体积法的冻土水热耦合程序开发及验证[J]. 岩土力学, 2020, 41(5): 1781-1789.
[3] 梁 越,王俊杰,刘明维 , . 基于流网单元的污染物优势运移数值模型[J]. , 2015, 36(10): 3007-3014.
[4] 孙丽云,刘忠玉,乐金朝,张 杰. 考虑非Darcy渗流时循环荷载下饱和黏土一维固结分析[J]. , 2010, 31(S1): 62-68.
[5] 杨海英,陈 刚,柴军瑞,张志昌. 金沙峡电站闸坝区渗流场有限体积法数值模拟[J]. , 2005, 26(3): 461-464.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!