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

Ching Min Chang, Chuen Fa Ni, We Ci Li, Chi Ping Lin, I. Hsien Lee

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish
Pages (from-to)2387-2397
Number of pages11
JournalHydrology and Earth System Sciences
Volume25
Issue number5
DOIs
StatePublished - 7 May 2021

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