标题：Identification of hydraulic conductivity distributions in density dependent flow fields of submarine groundwater discharge modeling using adjoint-state sensitivities
作者：Hu, Bill X.; Cao YanZhao; Zhao WeiDong; Bao Feng
作者机构：[Hu Bill X] School of Water Resources and Environmental Sciences, China University of Geosciences (Beijing), Beijing 100083, China.;[Cao Yanzhao] Depa 更多
通讯作者：Hu, Bill X.(email@example.com)
通讯作者地址：[Hu, BX]China Univ Geosci, Sch Water Resources & Environm Sci, Beijing 100083, Peoples R China;[Hu, BX]Florida State Univ, Dept Geol Sci, Tallahassee, 更多
关键词：Variable-density flow; Hydraulic conductivity; Inverse method; Adjoint; partial differential equation; Submarine groundwater discharge
摘要：A mathematical optimal control method is developed to identify a hydraulic conductivity distribution in a density dependent flow field. Using a variational method, the adjoint partial differential equations are obtained for the density- dependent state equations used for the saline aquifer water flow. The adjoint equations are numerically solved in through a finite difference method. The developed method is applied to identify the hydraulic conductivity distribution through the numerical solution of an optimal control problem. To demonstrate the effectiveness of the optimal control method, three numerical experiments are conducted with artificial observation data. The results indicate that the developed method has the potential to accurately identify the hydraulic conductivity distribution in a saline water aquifer flow system.