| In this paper,we mainly discuss a sensitivity analysis of transient groundwater flow.First,we state and deduce differential equation of movement in the unconfined aquifer groundwater,two-dimensional heterogeneous porous media control equation is obtained,and analysis required the solution of the marginal sensitivity.Next,solving sensitivity using the adjoint method of transient groundwater flow.Based on the two-dimensional control equations and the initial boundary conditions of unsteady flow and are obtained corresponding adjoint equation,then work out the marginal sensitivity,and discussed the system parameters(transmissivity and storativity)in correlated or uncorrelated fields of the sensitivity analysis.Finally,considering randomly heterogeneous porous media on the rectangle domain,using the adjoint method discussed parameters in correlated or uncorrelated fields of the sensitivity analysis,and the corresponding analytical expressions and the relevant conclusions.Analytical solutions allow us to calculate sensitivities efficiently.The analytical approach is not limited to groundwater applications but can be extended to any other mathematical problem with similar governing equations and under similar conceptual conditions. |