https://scholars.lib.ntu.edu.tw/handle/123456789/614738
Title: | Stochastic analysis of oscillatory hydraulic tomography | Authors: | YU-LI WANG Yeh T.-C.J. Xu D. Li K. Wen J.-C. Huang S.-Y. Wang W. Hao Y. |
Keywords: | Aquifers; Cost effectiveness; Digital storage; Stochastic systems; Conditional means; Different frequency; Head fields; Hydraulic tomographies; Monte Carlo experiments; Performance metrices; Residual flux; Stochastic analysis; Stochastics; Storage terms; Tomography; aquifer; experimental study; heterogeneity; Monte Carlo analysis; performance assessment; pumping; stochasticity; tomography | Issue Date: | 2021 | Publisher: | Elsevier B.V. | Journal Volume: | 596 | Source: | Journal of Hydrology | Abstract: | This paper investigates the effectiveness of different oscillatory hydraulic tomography (OHT) frequencies for estimating heterogeneous fields. The analysis first formulates the effects of uncharacterized aquifer responses, T, and S fields as the ensemble mean residual flux and residual storage terms in the stochastic unconditional and conditional mean equations. These terms persist unless the T, S, or head fields are specified everywhere. We then conducted OHT to estimate the T and S fields using Monte Carlo experiments. The experiments show that using the heads in response to periodic pumping with different frequencies or multifrequency, the estimates' performance metrics vary from one realization to others. The mean performance metrics over many realizations are, however, indistinguishable, despite the frequency. We attribute the variation in the performance metrics to the lack of parameter or state variable ergodicity. Lastly, we emphasize the importance of dense monitoring networks and a cost-effective data collection strategy to improve the resolution of characterizing aquifer heterogeneity. © 2021 Elsevier B.V. |
URI: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85102070766&doi=10.1016%2fj.jhydrol.2021.126105&partnerID=40&md5=e82de5f0239eed50a8f5a07ba44773a1 https://scholars.lib.ntu.edu.tw/handle/123456789/614738 |
ISSN: | 00221694 | Other Identifiers: | JHYDA | DOI: | 10.1016/j.jhydrol.2021.126105 |
Appears in Collections: | 生物環境系統工程學系 |
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