Abstract
Abstract. This work develops a transfer function to describe the variation in
the integrated specific discharge in response to the temporal variation in
the rainfall event in the frequency domain. It is assumed that the
rainfall–discharge process takes place in a confined aquifer with variable
thickness, and it is treated as nonstationary in time to represent the
stochastic nature of the hydrological process. The presented transfer
function can be used to quantify the variability in the integrated discharge
field induced by the variation in rainfall field or to simulate the
discharge response of the system to any varying rainfall input at any time
resolution using the convolution model. It is shown that, with the
Fourier–Stieltjes representation approach, a closed-form expression for the
transfer function in the frequency domain can be obtained, which provides a
basis for the analysis of the influence of controlling parameters occurring
in the rainfall rate and integrated discharge models on the transfer
function.
Funder
Ministry of Science and Technology, Taiwan
Subject
General Earth and Planetary Sciences,General Engineering,General Environmental Science
Reference32 articles.
1. Bear, J.: Hydraulics of groundwater, McGraw-Hill, New York, 1979.
2. Bear, J. and Cheng, A. H.-D.: Modeling groundwater flow and contaminant
transport, Springer, Dordrecht, 2010.
3. Benoit, L., Vrac, M., and Mariethoz, G.: Nonstationary stochastic rain type generation: accounting for climate drivers, Hydrol. Earth Syst. Sci., 24, 2841–2854, https://doi.org/10.5194/hess-24-2841-2020, 2020.
4. Christensen, N. S. and Lettenmaier, D. P.: A multimodel ensemble approach to assessment of climate change impacts on the hydrology and water resources of the Colorado River Basin, Hydrol. Earth Syst. Sci., 11, 1417–1434, https://doi.org/10.5194/hess-11-1417-2007, 2007.
5. Chow, V. T., Maidment, D. R., and Mays, L. W.: Applied hydrology,
McGraw-Hill, New York, 1988.
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