Preprints
https://doi.org/10.5194/hess-2020-572
https://doi.org/10.5194/hess-2020-572

  23 Nov 2020

23 Nov 2020

Review status: a revised version of this preprint was accepted for the journal HESS and is expected to appear here in due course.

Technical note: Discharge response of a confined aquifer with variable thickness to temporal nonstationary random recharge processes

Ching-Min Chang1, Chuen-Fa Ni1, We-Ci Li1, Chi-Ping Lin2, and I-Hsian Lee2 Ching-Min Chang et al.
  • 1Graduate Institute of Applied Geology, National Central University, Taoyuan, Taiwan
  • 2Center for Environmental Studies, National Central University, Taoyuan, Taiwan

Abstract. This work develop a transfer function to describe the variation of the integrated specific discharge in response to the temporal variation of 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 of the integrated discharge field induced by the variation of 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 provide a basis for the analysis of the influence of controlling parameters occurring in the rainfall rate and integrated discharge models on the transfer function.

Ching-Min Chang et al.

 
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Status: closed
Status: closed
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
Printer-friendly Version - Printer-friendly version Supplement - Supplement

Ching-Min Chang et al.

Ching-Min Chang et al.

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Short summary
The stochastic analysis of groundwater flow is traditionally based on the assumption of stationarity of the recharge and discharge processes. However, the hydrologic process in nature is nonstationary-stochastic. In order to improve the quantification of the natural recharge-discharge process, the nonstationary rainfall-discharge process is assumed in this study. The proposed transfer function, which relates the nonstationary spectra of the rainfall fluctuations to those of integrated discharge.