Testing a conceptual hillslope recession model based on the storage–discharge relationship with the Richards equation |
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| Authors: | Do‐Hun Lee |
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| Institution: | Department of Civil Engineering, Kyung Hee University, Kiheung‐Eup, Yongin‐Si, Gyeonggi‐Do, 449‐701, Korea |
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| Abstract: | The conceptual recession model based on the storage–discharge relationship was proposed to account for the unsaturated–saturated water storage interaction. The recession model was formulated by combining the constitutive storage–discharge relationship with the integral balance equation for unsaturated and saturated water storage. The functional form of the constitutive storage–discharge relationship was determined from the spatial integration of the Richards equation. The performance of the recession model was tested by comparing with the solution of the Richards equation for different simulation geometric shapes and soil types. The conceptual recession model incorporating the unsaturated–saturated water storage interaction was in good agreement with the recession response of the Richards equation. However, the recession model that neglected the unsaturated–saturated water storage interaction was comparable to the Richards equation only for soils with the weak interaction between unsaturated water storage and saturated water storage. This result suggests the important role of the unsaturated–saturated water storage interaction in the formulation of the recession process when the derivative of the functional relationship between the unsaturated water storage and saturated water storage becomes significant. Copyright © 2007 John Wiley & Sons, Ltd. |
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| Keywords: | recession model storage– discharge relationship subsurface outflow Richards' equation |
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