滨海软土动孔压发展模型核心函数研究

Study on core function for dynamic pore water pressure developing process model of seashore soft soil

动孔压发展模型在滨海相软土动力学性质的研究中非常重要。结合软土动孔压发展的机理,分析了其数学模型的核心函数应具有的基本性质。提出了动孔压半值指数的概念,揭示了指数曲线模型、双曲线模型等传统动孔压模型核心函数的缺陷。根据能量耗散原理,建立了基于微分控制方程的动孔压发展新模型。数学分析表明,两个传统模型的核心函数及其动孔压半值指数均是新模型对应的特例,新模型克服了传统模型的不足,具有更广泛的实用性。

Model of dynamic pore water pressure developing process （DPDP） plays an important role in dynamic behavior study of seashore soft soil. According to mechanism of the DPDP, mathematical property that core function of the DPDP model should possess was analyzed. Concept of half-value pore water pressure index was proposed and employed to reveal the shortcomings of core functions of traditional DPDP models, such as exponent model and hyperbolic model. Based on energy dissipation theory and differential governing equation, a new model of DPDP was established. Mathematical analyses show that the core functions and half - value pore water pressure indexes of the two traditional models are only the simplified expressions of those of the new model, respectively. Finally, validity of the new model was proved.