Series solutions for flow in stratified aquifers with natural geometry |
| |
| Authors: | Sanders Wong James R Craig |
| |
| Institution: | University of Waterloo, Department of Civil and Environmental Engineering, 200 University Ave. West, Waterloo, ON, Canada N2L 3G1 |
| |
| Abstract: | An analytical series solution method is presented for modeling regional steady-state groundwater flow in a two-dimensional stratified aquifer cross-section where the water table is well-characterized. The aquifer system may have any number of contiguous or non-contiguous layers and the geometry of each layer is restricted only by the requirement that the elevation of the stratigraphic unconformities between layers is a function of the x-coordinate alone. Various techniques may be used to handle pinching layers, faults, and other discontinuities. The solutions are obtained by minimizing head and flow continuity errors between layers and errors in the Dirichlet surface at a set of control points along these unconformities; the governing equation is met exactly. The solutions are derived and demonstrated on multiple test cases. The errors for some specific, geometrically challenging cases are assessed and discussed. |
| |
| Keywords: | Multi-layer aquifers Analytical model Series solutions Topography-driven flow |
| 本文献已被 ScienceDirect 等数据库收录！ |
