地下水流动的条件模拟

The Conditional Simulation of Groundwater Flow

为分析参数的观测值对地下水流动不确定性的影响,建立了基于Karhunen-Loeve(KL)展开和扰动展开的地下水流动条件模拟模型,模型中联合考虑了渗透系数、补给和边界条件的空间变异性,推导了多条件作用下的地下水运动数值模型。数值试验的结果表明:在特定协方差函数或低阶KL展开时,所提出的数值模型具有良好的计算效率和计算精度;条件模拟可减小总体水头方差;相关长度越大,条件点越多,方差减少越明显;条件点的影响范围与条件点所处位置相关,应该在条件点影响范围大的区域布置观测点以最大程度的减小预测结果的不确定性。在实际的地下水问题中,应根据水流运动特性来确定不同参数的观测方案,以保证预测到的水流具有较小的不确定性和较高的可靠度。

In order to evaluate the effect of parameters' measurements to the uncertainty of groundwater flow,a conditional model for groundwater flow based on the Karhunen-Loeve decomposition and perturbation expansion is proposed,in which the spatial variability of log conductivity,recharge and boundary conditions are considered together.The derivation of the numerical modeling for groundwater flow subject to conditioning points of multiple random fields are also studied.The numerical experiments show that for some ...