Analytisch formulierte Näherungslösungen zur Grundwasserströmung bei einer Restwasserhaltung
Perau, E. and Meteling, N.
Volume: 40 Pages: 2-14
Analytical approximate solution for ground water flow at a residual water drainage system. If excavations are conducted which go below the groundwater table, it makes sense to embed the pit wall in a less permeable soil stratum and to operate a residual water drainage system. With such a construction water flows under the pit walls and so a flow field arises which has to be determined for various calculations and stability verifications. For instance, hydraulic gradients, discharge velocities as well as potential heads and pore-water pressures have to be calculated. These values are needed to determine the earth and water pressure distribution. They can also be used for verifications in relation to hydraulic failure, internal erosion and failure of the earth support, and also for the calculation of groundwater influx. Using the Finite Element Method (FEM) a systematic parameter study is conducted as the basis for formulating analytical approximation solutions, including theoretical boundary cases. It is possible to optimize the parametric study for both plane and axis-symmetrical states with isotropic and anisotropic subsoil and to do this by defining the hydraulic problem as a parameterized boundary value problem. By evaluating the mathematical characteristics of the boundary value problem and conducting a dimensional analysis it is possible to reduce the number of parameters considerably. Copyright © 2017 Ernst & Sohn Verlag für Architektur und technische Wissenschaften GmbH & Co. KG, Berlin