Analytical solution for consolidation of vertical drain under vacuum preloading considering the variation of radial permeability coefficient

To solve the consolidation problem of vertical drains under vacuum preloading, this study mainly considers three types of radial permeability coefficient of soil (including the constant distribution pattern, the linear distribution pattern and the parabolic distribution pattern) in the disturbance area and the resistance of vertical drains changing with time. The mathematical model is established. The analytical solution is used to derive the consolidation problem of vertical drains under vacuum preloading considering the variation of radial permeability coefficient due to construction disturbance. Based on this solution, the calculation program is compiled, and the consolidation curve of vertical drain considering the influence of various factors is drawn. The results show that the change rate of drain resistance greatly affects the average consolidation degree. In the three models studied in this paper, the consolidation rate is the fastest when the permeability coefficient shows a parabolic change, while the consolidation rate is the slowest when the permeability coefficient maintains constant.