TY - JOUR
T1 - A Short-Term Pumping Strategy for Hydraulic Tomography Based on the Successive Linear Estimator
AU - Hou, Xiaolan
AU - Hu, Rui
AU - Yeh, Tian Chyi Jim
AU - Li, Yukun
AU - Qi, Junjie
AU - Song, Yang
AU - Qiu, Huiyang
N1 - Funding Information:
This study was financially supported by the Fundamental Research Funds for the Central Universities (Grant SJKY19_0517), Postgraduate Research & Practice Innovation Program of Jiangsu Province (Grant 2019B60414) and the Ministry of Science and Technology of China through the Program “Driving process and mechanism of three‐dimensional spatial distribution of high risk organic pollutants in multi field coupled sites” (Grant 2019YFC1804303).
Publisher Copyright:
© 2023. American Geophysical Union. All Rights Reserved.
PY - 2023/4
Y1 - 2023/4
N2 - In this study, the random finite element method, a finite element method with random field generation techniques, was applied to investigate the cross correlations between the observed head and hydraulic conductivity and specific storage at different locations and different times in pumping tests. The results show that the two cross correlations between the pumping well and the observation well reach their maximums before pumping reaches a steady state. Specifically, the cross correlation between the observed head and hydraulic conductivity is the greatest when the temporal derivative of the observed head does not change significantly, and that between the observed head and specific storage is the greatest when the temporal derivative (the rate) of the observed head is maximum. Based on the results of cross-correlation analysis, a short-term pumping strategy for hydraulic tomography is proposed to obtain the spatial distribution of hydraulic conductivity and specific storage using the successive linear estimator. Furthermore, this strategy was validated by Monte Carlo simulations. This paper points out that the sensitivity and cross-correlation analyses report the ensemble (averaged) behaviors of any heterogeneous aquifers, which is not necessarily suitable for one realization. Furthermore, Monte Carlo simulation is suggested for validating any groundwater inverse modeling result.
AB - In this study, the random finite element method, a finite element method with random field generation techniques, was applied to investigate the cross correlations between the observed head and hydraulic conductivity and specific storage at different locations and different times in pumping tests. The results show that the two cross correlations between the pumping well and the observation well reach their maximums before pumping reaches a steady state. Specifically, the cross correlation between the observed head and hydraulic conductivity is the greatest when the temporal derivative of the observed head does not change significantly, and that between the observed head and specific storage is the greatest when the temporal derivative (the rate) of the observed head is maximum. Based on the results of cross-correlation analysis, a short-term pumping strategy for hydraulic tomography is proposed to obtain the spatial distribution of hydraulic conductivity and specific storage using the successive linear estimator. Furthermore, this strategy was validated by Monte Carlo simulations. This paper points out that the sensitivity and cross-correlation analyses report the ensemble (averaged) behaviors of any heterogeneous aquifers, which is not necessarily suitable for one realization. Furthermore, Monte Carlo simulation is suggested for validating any groundwater inverse modeling result.
KW - cross-correlation analysis
KW - heterogeneity
KW - hydraulic parameters
KW - hydraulic tomography
KW - random finite element method
KW - short-time pumping tests
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U2 - 10.1029/2022WR033831
DO - 10.1029/2022WR033831
M3 - Article
AN - SCOPUS:85153888858
SN - 0043-1397
VL - 59
JO - Water Resources Research
JF - Water Resources Research
IS - 4
M1 - e2022WR033831
ER -