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Series solutions for saturated–unsaturated flow in multi-layer unconfined aquifers |
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| Institution: | 1. Posgrado en Ciencias de la Tierra, Centro de Investigación Científica y de Educación Superior de Ensenada, Ensenada, BC, 22860, Mexico;2. Catedrático CONACYT, Laboratorio de Tectonofísica y Flujo de Calor, Departamento de Geología, Centro de Investigación Científica y de Educación Superior de Ensenada, Ensenada, BC, 22860, Mexico;3. Laboratorio de Tectonofísica y Flujo de Calor, Departamento de Geología, Centro de Investigación Científica y de Educación Superior de Ensenada, Ensenada, BC, 22860, Mexico;4. Departamento de Geología, Centro de Investigación Científica y de Educación Superior de Ensenada, Ensenada, BC, 22860, Mexico;5. Departamento de Geología, Facultad de Ciencias Marinas, Universidad Autónoma de Baja California, Ensenada, BC, 22860, México |
| Abstract: | A semi-analytical mesh-free series solution method is presented for modeling regional steady-state subsurface saturated–unsaturated flow in 2-D geometrically complex homogenous and stratified hill-slope cross sections. Continuous solutions for pressure in the saturated and unsaturated zone are determined iteratively, as is the location of the water table surface. Mass balance is satisfied exactly over the entire domain except along boundaries and interfaces between layers, where errors are in an acceptable range. The solutions are derived and demonstrated on multiple test cases. The errors for specific cases are assessed and discussed. |
| Keywords: | Multi-layer unconfined aquifer Semi-analytical model Free boundary problem Series solution Saturated–unsaturated flow |
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