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饱和土不排水计算理论与方法探究

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饱和土不排水强度及变形计算是岩土工程中颇具难度的复杂课题,至今业内对其多方面的问题仍存争议.结合笔者多年的相关学习研究,对此课题进行了较系统深入的探究.首先讨论了饱和土不排水计算的总应力法与有效应力法及各自的局限,并从有限元基本方程阐述了孔隙水压的处理,指出不管采用何种方法均应注意区分两类孔隙水压和两种总应力,即"土水分算".随后,审视了Skempton-Henkel超静水压计算公式对不同应力路径的计算准确性,将它与MC强度准则相结合构建了饱和土不排水强度模型,对等向固结与不等向固结下饱和土不排水强度特性进行了分析,可为实际工程计算中强度参数选取提供参考.建议实际不排水计算采用广义Tresca强度准则,针对采用MC强度准则按有效应力法进行不排水计算会有较大误差的问题,除指出应直接输入不排水强度外,还给出一种采用等代强度参数的处理方法.在上述讨论基础上,剖析了固结不排水强度指标(CU指标)的缺陷,指出仅当土中总应力路径与测定CU指标的试验中相同时,用此指标直接计算才能给出准确的结果,特别是对地基承载力问题直接用此指标计算会给出严重偏危险的结果.还对基坑工程中主动、被动土水压力采用CU指标并土水合算的问题进行了分析,建议了合理计算方法及相应公式;对发生不排水极限土压时的滑移面倾角这一业内多人深感困惑的问题也进行了探讨.最后,针对饱和地基承载力及短期沉降计算,剖析了业内现行方法的问题,在深入解读有关因素影响机理的基础上给出新的计算方法.所给承载力计算公式,可较准确统一计算排水和不排水条件下的承载力,能更好保证设计的安全经济;所给沉降计算新方法能较准确计算饱和地基的短期沉降,对地基的排水沉降也可望取得较好结果,值得进一步发展完善.
Theories and methods for undrained strength and deformation of saturated soils
The calculation of undrained strength and deformation of saturated soils is a complex and difficult issue in geotechnical engineering,and there are still contradictory opinions regarding its many aspects.In this study,a systematic and in-depth exploration of this topic is carried out according to the author's years of relevant studies.Firstly,the total stress method and effective stress method for undrained analysis as well as their respective limitations are discussed.The treatment of pore water pressure is explained from the basic equation of finite elements,and it is pointed out that regardless of the method used,attention should be paid to distinguishing between the two types of the pore water pressures and those of the total stresses.Then,the accuracy of Skempton-Henkel's formula for calculating the excess pore pressure under different stress paths is examined,and then it is combined with the MC strength criterion to form an undrained strength model for saturated soils.The undrained strength characteristics of saturated soils under isotropic and anisotropic consolidations are analyzed,which can provide reference for the selection of strength parameters for engineering calculations.It is suggested that the generalized Tresca strength criterion should be used for practical undrained calculations.To prevent computation errors in undrained analysis using the MC criterion together with the effective stress method,a method of using the equivalent strength parameters is proposed,which is a better alternative to the direct inputting of the undrained strength.Based on the above discussions,the shortcomings of the consolidated undrained strength index(CU index)are analyzed,and it is pointed out that only when the total stress path in the soils is the same as that in the tests for determining the CU index,this index can be directly used for calculation to give accurate results.Especially for the calculation of bearing capacity of foundations,direct use of the CU index will give serious erroneous results.The drawbacks of using the CU index for calculating the active and passive soil water pressures in excavation engineering are analyzed,and the reasonable method and corresponding formula are proposed.The issue of the inclination angle of the sliding surface when the undrained ultimate soil pressures occur,puzzled to many,is also discussed in depth.Finally,regarding the calculation of bearing capacity and short-term settlements of saturated foundation,the deficiencies of the conventional methods are analyzed,and new methods are proposed based on the deep understanding of the influencing mechanisms of the relevant factors.The proposed formula for bearing capality can more accurately calculate the bearing capacity under both drained and undrained conditions,which can thus better ensure the safety and economy of the design.The new method for settlement can effectively calculate the short-term settlement of saturated soils,and also shows good prospective for drained conditions.

saturated clayundrained strengthexcess pore water pressureconsolidated undrained strength parameterbearing capacityfoundation settlement

宋二祥

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清华大学土木水利学院,北京 100084

饱和黏性土 不排水强度 超静水压 固结不排水强度指标 地基承载力 地基沉降

2025

岩土工程学报
中国水利学会 中国土木工程学会 中国力学学会 中国建筑学会 中国水力发电工程学会 中国振动工程学会

岩土工程学报

北大核心
影响因子:1.952
ISSN:1000-4548
年,卷(期):2025.47(1)