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假定土体为饱和多孔黏弹性介质,采用Burgers四元件流变模型来描述,结合建立在Terzaghi-Rendulic固结理论基础上的固结-流变耦合模型,采用复变函数解法,利用复变量将原平面上的研究域保角映射到像平面上的圆环域内,在像平面上求解以超静孔隙水压力为变量的控制方程,进而得到原平面域上软土盾构隧道的超静孔隙水压力的解析表达式。并在此基础上,研究了衬砌排水边界条件下盾构隧道的孔隙水压力问题以及土体特性对孔隙水压力的影响。
Assuming that the soil is a saturated porous viscoelastic medium, the Burgers’ four-element rheological model is used to describe the structure. Combined with the consolidation-rheological coupling model based on the Terzaghi-Rendulic consolidation theory, complex variable function method In the original image plane, the research area conformal map is mapped into the torus on the image plane, and the governing equation with the excess pore water pressure as the variable is solved on the image plane, and then the excessively static pore space of the soft soil shield tunnel The analytical expression of water pressure. Based on this, the pore water pressure of the shield tunnel under the condition of lining drainage boundary and the effect of soil characteristics on the pore water pressure were studied.