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 |
DOI | 10.1002/2014WR015503 |
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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