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DOI | 10.1029/2019WR025686 |
An Adjoint Sensitivity Model for Steady-State Sequentially Coupled Radionuclide Transport in Porous Media | |
Hayek, Mohamed1; RamaRao, Banda S.2; Lavenue, Marsh2 | |
2019-11-11 | |
发表期刊 | WATER RESOURCES RESEARCH |
ISSN | 0043-1397 |
EISSN | 1944-7973 |
出版年 | 2019 |
文章类型 | Article;Early Access |
语种 | 英语 |
国家 | Switzerland; USA |
英文摘要 | This work presents an efficient mathematical/numerical model to compute the sensitivity coefficients of a predefined performance measure to model parameters for one-dimensional steady-state sequentially coupled radionuclide transport in a finite heterogeneous porous medium. The model is based on the adjoint sensitivity approach that offers an elegant and computationally efficient alternative way to compute the sensitivity coefficients. The transport parameters include the radionuclide retardation factors due to sorption, the Darcy velocity, and the effective diffusion/dispersion coefficients. Both continuous and discrete adjoint approaches are considered. The partial differential equations associated with the adjoint system are derived based on the adjoint state theory for coupled problems. Physical interpretations of the adjoint states are given in analogy to results obtained in the theory of groundwater flow. For the homogeneous case, analytical solutions for primary and adjoint systems are derived and presented in closed forms. Numerically calculated solutions are compared to the analytical results and show excellent agreements. Insights from sensitivity analysis are discussed to get a better understanding of the values of sensitivity coefficients. The sensitivity coefficients are also computed numerically by finite differences. The numerical sensitivity coefficients successfully reproduce the analytically derived sensitivities based on adjoint states. A derivative-based global sensitivity method coupled with the adjoint state method is presented and applied to a real field case represented by a site currently being considered for underground nuclear storage in Northern Switzerland, "Zurich Nordost", to demonstrate the proposed method. The results show the advantage of the adjoint state method compared to other methods in term of computational effort. |
英文关键词 | sensitivity analysis adjoint method analytical solutions radionuclide transport |
领域 | 资源环境 |
收录类别 | SCI-E |
WOS记录号 | WOS:000495566500001 |
WOS关键词 | SIMULATED TRANSMISSIVITY FIELDS ; TRAVEL-TIME PROBABILITIES ; PILOT POINT METHODOLOGY ; AUTOMATED CALIBRATION ; GROUNDWATER-FLOW ; PARAMETERIZATION ; ENSEMBLE ; LOCATION |
WOS类目 | Environmental Sciences ; Limnology ; Water Resources |
WOS研究方向 | Environmental Sciences & Ecology ; Marine & Freshwater Biology ; Water Resources |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://119.78.100.173/C666/handle/2XK7JSWQ/223883 |
专题 | 资源环境科学 |
作者单位 | 1.INTERA Inc, Wettingen, Switzerland; 2.INTERA Inc, Austin, TX USA |
推荐引用方式 GB/T 7714 | Hayek, Mohamed,RamaRao, Banda S.,Lavenue, Marsh. An Adjoint Sensitivity Model for Steady-State Sequentially Coupled Radionuclide Transport in Porous Media[J]. WATER RESOURCES RESEARCH,2019. |
APA | Hayek, Mohamed,RamaRao, Banda S.,&Lavenue, Marsh.(2019).An Adjoint Sensitivity Model for Steady-State Sequentially Coupled Radionuclide Transport in Porous Media.WATER RESOURCES RESEARCH. |
MLA | Hayek, Mohamed,et al."An Adjoint Sensitivity Model for Steady-State Sequentially Coupled Radionuclide Transport in Porous Media".WATER RESOURCES RESEARCH (2019). |
条目包含的文件 | 条目无相关文件。 |
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