海相软土盾构隧道围岩受力状态方程及其耦合求解方法OA
Stress-state Equations and Coupled Solution Methods for Surrounding Rock of Shield Tunnel in Marine Soft Soil
海相软土因其高压缩性、低强度及结构性脆弱等特征,在盾构隧道施工扰动下极易产生大范围塑性变形与地表沉降,严重威胁工程安全.为此,该研究基于弹塑性力学与极限平衡理论,构建了适用于海相软土的围岩受力状态方程,并提出"对数螺旋破坏面参数化-分区控制方程积分化-界面约束条件-Newton-Raphson迭代-有限元校准"的半解析-数值耦合方法求解框架.通过理论推导和算法实现,获得环向应力分布与塑性区半径的解析-数值统一解,并以深圳地铁某线某盾构区间为工程背景进行验证分析.结果表明:支护压力对围岩稳定性具有决定性作用,塑性区半径随支护压力增加呈现非线性衰减规律,并在0.15~0.20MPa区间表现出最为敏感的"临界支护压力"特征;在该案例中,当支护压力超过0.23 MPa后,塑性区半径趋近隧道半径,继续增加支护压力对控制围岩变形的边际效益有限.与单一解析或数值方法相比,半解析-数值耦合方法既保证物理透明性,又兼具计算精度和工程适用性.研究成果可为海相软土盾构隧道合理支护压力确定及施工安全控制提供理论依据与实践参考.
Marine soft soil,characterized by high compressibility,low strength,and structural fragility,is highly susceptible to large-scale plastic deformation and ground settlement under the disturbance of shield tunnel excava-tion,thereby posing a serious threat to engineering safety.Based on elastoplastic mechanics and limit equilibrium theory,a stress-state equation for surrounding rock applicable to marine soft soil is established and a semi-analyti-cal-numerical coupled solution framework featuring"logarithmic-spiral failure surface parameterization-integrated zonal governing equations-interface constraint conditions-Newton-Raphson iteration-finite element calibration"is proposed.Through theoretical derivation and algorithm implementation,the analytical-numerical unified solution for circumferential stress distribution and plastic zone radius is obtained,and is further validated based on a shield tunnel section of Shenzhen Metro Line.The results indicate that support pressure plays a decisive role in the stability of the surrounding ground.The radius of the plastic zone exhibits a nonlinear decay pattern with the increase of support pressure,showing the most sensitive"critical support pressure"characteristic within the range of 0.15~0.20 MPa;In the case study,when the support pressure exceeds 0.23 MPa,the plastic zone radius approaches the tunnel radius,and any further increase in support pressure yields only limited marginal benefit in controlling the surrounding rock deformation.Compared with purely analytical or numerical methods,the proposed semi-analytical-numerical coupled approach ensures not only physical transparency but maintains computational accuracy and engi-neering applicability.The findings can provide a theoretical basis and practical reference for the rational determina-tion of support pressure and construction safety control in shield tunnels constructed in marine soft soil.
孙胤栋;刘晓玉;张恒;刘亚军;武科
山东大学土建与水利学院,山东济南 250061山东大学土建与水利学院,山东济南 250061山东大学土建与水利学院,山东济南 250061山东大学土建与水利学院,山东济南 250061山东大学土建与水利学院,山东济南 250061
交通工程
海相软土盾构隧道受力状态方程半解析-数值耦合方法支护压力
marine soft soilshield tunnelingstress state equationsemi-analytical-numerical couplingsupport pressure
《市政技术》 2026 (4)
55-65,96,12
国家自然科学基金面上项目(52179106)
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