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Multimodel Bayesian analysis of groundwater data worth
Xue, Liang ; Zhang, Dongxiao ; Guadagnini, Alberto ; Neuman, Shlomo P.
刊名water resources research
2014
关键词STEADY-STATE FLOW SPATIAL INFORMATION METHODOLOGY UNCERTAINTY INVERSION TRANSIENT
DOI10.1002/2014WR015503
英文摘要We explore the way in which uncertain descriptions of aquifer heterogeneity and groundwater flow impact one's ability to assess the worth of collecting additional data. We do so on the basis of Maximum Likelihood Bayesian Model Averaging (MLBMA) by accounting jointly for uncertainties in geostatistical and flow model structures and parameter (hydraulic conductivity) as well as system state (hydraulic head) estimates, given uncertain measurements of one or both variables. Previous description of our approach was limited to geostatistical models based solely on hydraulic conductivity data. Here we implement the approach on a synthetic example of steady state flow in a two-dimensional random log hydraulic conductivity field with and without recharge by embedding an inverse stochastic moment solution of groundwater flow in MLBMA. A moment-equations-based geostatistical inversion method is utilized to circumvent the need for computationally expensive numerical Monte Carlo simulations. The approach is compatible with either deterministic or stochastic flow models and consistent with modern statistical methods of parameter estimation, admitting but not requiring prior information about the parameters. It allows but does not require approximating lead predictive statistical moments of system states by linearization while updating model posterior probabilities and parameter estimates on the basis of potential new data both before and after such data are actually collected.; Environmental Sciences; Limnology; Water Resources; SCI(E); EI; 1; ARTICLE; xueliang@pku.edu.cn; 11; 8481-8496; 50
语种英语
内容类型期刊论文
源URL[http://ir.pku.edu.cn/handle/20.500.11897/154150]  
专题工学院
推荐引用方式
GB/T 7714
Xue, Liang,Zhang, Dongxiao,Guadagnini, Alberto,et al. Multimodel Bayesian analysis of groundwater data worth[J]. water resources research,2014.
APA Xue, Liang,Zhang, Dongxiao,Guadagnini, Alberto,&Neuman, Shlomo P..(2014).Multimodel Bayesian analysis of groundwater data worth.water resources research.
MLA Xue, Liang,et al."Multimodel Bayesian analysis of groundwater data worth".water resources research (2014).
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