https://scholars.lib.ntu.edu.tw/handle/123456789/614739
標題: | Conditional mean, effective, and realizations of hydraulic conductivity fields | 作者: | Gao X. Jim Yeh T.-C. Yan E.-C. YU-LI WANG Hao Y. |
關鍵字: | Inverse problems; Monte Carlo methods; Conditional means; Effective hydraulic conductivities; First-order approximations; Head measurements; Linear estimators; Measurement locations; Theoretical framework; Two-dimensional flow; Hydraulic conductivity; algorithm; field method; hydraulic conductivity; hydraulic head; hydrological modeling; measurement method; simulation | 公開日期: | 2021 | 出版社: | Elsevier B.V. | 卷: | 592 | 來源出版物: | Journal of Hydrology | 摘要: | This study first discusses the conditional mean, realizations, and effective hydraulic conductivity in a theoretical framework. It then introduces Monte Carlo simulation (MCS) algorithms for constraining the outcome by either hydraulic conductivity (K) samples or hydraulic head (h) measurements from the hydraulic tomographic survey (HT). It demonstrates that kriging using K measurements leads to a conditional mean K field, while inverse modeling using successive linear estimator (SLE) with head measurements of HT yields the conditional effective K field. The effects of conditioning using K measurements are different from those using heads. Besides, the conditional effective K leads to the unbiased prediction of the head that honors the observed head at measurement locations. More importantly, the study reveals that the harmonic and geometric means of conditional realizations of K fields of MCS, given head measurements, are equivalent to the conditional effective K in one- and two-dimensional flows, respectively. The first-order approximation in the SLE results in a conditional covariance similar to that from MCS with smaller magnitudes. Despite the difference, all approaches predict unbiased conditional mean head behaviors. © 2020 Elsevier B.V. |
URI: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85094154813&doi=10.1016%2fj.jhydrol.2020.125606&partnerID=40&md5=7e03d4006e50dacfae695ee6e8fa6c86 https://scholars.lib.ntu.edu.tw/handle/123456789/614739 |
ISSN: | 00221694 | 其他識別: | JHYDA | DOI: | 10.1016/j.jhydrol.2020.125606 |
顯示於: | 生物環境系統工程學系 |
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