1996 | OriginalPaper | Chapter
Sensitivity Analysis in Parameter Identification, Test Planning and Test Evaluation Procedures for Two-Phase Flow in Porous Media
Authors : O. Kemmesies, L. Luckner
Published in: Parameter Identification and Inverse Problems in Hydrology, Geology and Ecology
Publisher: Springer Netherlands
Included in: Professional Book Archive
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The flow model describing unsaturated one dimensional vertical water flow in porous media is given by (1a)$$ \left( {\frac{\partial }{{\partial z}}k(\theta ) \times \left( {\frac{{\partial {h_p}}}{{\partial z}} + 1} \right)} \right) = \frac{{\partial \theta }}{{\partial t}} - {w_0} $$ and (1b)$$ \frac{{\partial \theta }}{{\partial t}} = C({h_0}) \cdot \frac{{\partial {h_p}}}{{\partial t}} $$ where the independent variables are time t and spatial coordinate z, taken positive up-wards. The dependent variables of equation (1) are the water pressure head hp = pw/ρw·g (hc=-hp and the water content θ. w0 is the sink/source term. The capillary capacity function C(hc) is the first derivative of the hysteretic soil water retention curve. The unsaturated hydraulic conductivity k(θ) depends on the water content in the soil.