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地下水随机模型及其参数计算

Groundwater stochastic model and its parameter estimation
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摘要 本文提出了估计地下水模型参数值不稳定变化对因变量变化影响的方法.导出了应用基本随机微分方程的分析解或准分析解的几种模型.这种方法特别适应于参数变化较大的情况.最后介绍了地下水模型参数估算方法.方法的主要优点是相对于使用微分方程导数的数值方法有更高的稳定性,使用系统脉冲响应函数,可以使用非独立地下水变量的直接野外测量数据. A methodology to investigate the effect of erratic variability in the values of parameters of groundwater models on the behaviour of dependent variables is presented.Several models which utilize the analytical or semi-analytical solution of governing stochastic differential equation are introduced.The method is specifically suited for cases in which the variances of the parameter are high and therefore,small perturbation techniques are not applicable.Finally,a methodology is introduced for the parameter estimation of groundwater models.The important advantage of this approach is its higher degree of stability in comparing to the numerical method for solving the derivatives of differential equation.The use of system impulse response function makes possible the direct use the field observation data of the dependent groundwater variables.
出处 《水利学报》 EI CSCD 北大核心 1992年第11期11-21,共11页 Journal of Hydraulic Engineering
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参考文献3

  • 1T. R. Ginn,J. H. Cushman. Inverse methods for subsurface flow: A critical review of stochastic techniques[J] 1990,Stochastic Hydrology and Hydraulics(1):1~26
  • 2C. R. Dietrich,G. N. Newsam. A stability analysis of the geostatistical approach to aquifer transmissivity identification[J] 1989,Stochastic Hydrology and Hydraulics(4):293~316
  • 3S. E. Serrano. General solution to random advective-dispersive equation in porous media[J] 1988,Stochastic Hydrology and Hydraulics(2):99~112

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