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经典Terzaghi固结理论模型通常仅考虑外荷载变化引起的土体固结,而没有考虑工程中真空井点降水、回灌等问题引出的局部源汇对土体固结过程的影响。为此在Terzaghi模型基础上,采用一阶导数的不连续性引入局部源汇条件,然后按分离变量法导出了存在局部源汇的Terzaghi固结解析解。结合算例简要分析了定常源汇情况下双面排水地基中超静孔压的分布规律,以及局部源汇引起的固结度与传统的荷载引起的固结度的差异规律。结果表明:源汇点埋深、源汇强度和土层固结系数对负超静孔压的发展规律具有重要影响;超静孔压的空间分布形态以源汇点为界分为上下两段曲线。此可用于分析工程中源汇问题引起的地层沉降或抬升等工况。
The classical Terzaghi consolidation theory model usually only considers the consolidation of soil due to the change of external load, but does not consider the influence of local source and sink on the consolidation process of soil due to the problems of precipitation and recharge in vacuum well point in the project. Therefore, based on the Terzaghi model, the local source and sink conditions are introduced by using the discontinuity of the first derivative, and then the Terzaghi consolidation analytic solution with local source and sink is derived according to the separation variable method. A case study is made to analyze the distribution law of excess pore pressure in double-sided drainage foundation under the condition of constant source and sink, as well as the difference rule between the degree of consolidation caused by local source and sink and the consolidation caused by traditional load. The results show that the depth of source sink, the strength of source sink and the consolidation coefficient of soil have an important influence on the development of negative excess pore pressure. The spatial distribution of excess pore pressure is divided into upper and lower sections curve. This can be used to analyze conditions such as ground settlement or uplift caused by source sink problems in the project.