在本文中,我们研究一类具有吸收项和耦合边界流的非牛顿渗流方程组问题.通过应用比较原理和构造自相似形式的上、下解,得到整体存在解的临界超曲面以及Fujita爆破指标结果.这些结果完善了发表在"Differential Integral Equations,2...在本文中,我们研究一类具有吸收项和耦合边界流的非牛顿渗流方程组问题.通过应用比较原理和构造自相似形式的上、下解,得到整体存在解的临界超曲面以及Fujita爆破指标结果.这些结果完善了发表在"Differential Integral Equations,2014,27:643―658"中的临界爆破Fujita吸收指标问题.展开更多
To further investigate the one-dimensional(1D)rheological consolidation mechanism of double-layered soil,the fractional derivative Merchant model(FDMM)and the non-Darcian flow model with the non-Newtonian index are re...To further investigate the one-dimensional(1D)rheological consolidation mechanism of double-layered soil,the fractional derivative Merchant model(FDMM)and the non-Darcian flow model with the non-Newtonian index are respectively introduced to describe the deformation of viscoelastic soil and the flow of pore water in the process of consolidation.Accordingly,an 1D rheological consolidation equation of double-layered soil is obtained,and its numerical analysis is performed by the implicit finite difference method.In order to verify its validity,the numerical solutions by the present method for some simplified cases are compared with the results in the related literature.Then,the influence of the revelent parameters on the rheological consolidation of double-layered soil are investigated.Numerical results indicate that the parameters of non-Darcian flow and FDMM of the first soil layer greatly influence the consolidation rate of double-layered soil.As the decrease of relative compressibility or the increase of relative permeability between the lower soil and the upper soil,the dissipation rate of excess pore water pressure and the settlement rate of the ground will be accelerated.Increasing the relative thickness of soil layer with high permeability or low compressibility will also accelerate the consolidation rate of double-layered soil.展开更多
基金Supported by the National Natural Science Foundation of China(11201483)the Fundamental Research Funds for the Central Universities
文摘在本文中,我们研究一类具有吸收项和耦合边界流的非牛顿渗流方程组问题.通过应用比较原理和构造自相似形式的上、下解,得到整体存在解的临界超曲面以及Fujita爆破指标结果.这些结果完善了发表在"Differential Integral Equations,2014,27:643―658"中的临界爆破Fujita吸收指标问题.
基金Project(51578511)supported by the National Natural Science Foundation of China。
文摘To further investigate the one-dimensional(1D)rheological consolidation mechanism of double-layered soil,the fractional derivative Merchant model(FDMM)and the non-Darcian flow model with the non-Newtonian index are respectively introduced to describe the deformation of viscoelastic soil and the flow of pore water in the process of consolidation.Accordingly,an 1D rheological consolidation equation of double-layered soil is obtained,and its numerical analysis is performed by the implicit finite difference method.In order to verify its validity,the numerical solutions by the present method for some simplified cases are compared with the results in the related literature.Then,the influence of the revelent parameters on the rheological consolidation of double-layered soil are investigated.Numerical results indicate that the parameters of non-Darcian flow and FDMM of the first soil layer greatly influence the consolidation rate of double-layered soil.As the decrease of relative compressibility or the increase of relative permeability between the lower soil and the upper soil,the dissipation rate of excess pore water pressure and the settlement rate of the ground will be accelerated.Increasing the relative thickness of soil layer with high permeability or low compressibility will also accelerate the consolidation rate of double-layered soil.
