Stochastic Groundwater Model And Its Applications On Monte-Carlo Method

Nowadays, the problem of groundwater pollution has aroused worldwide concern, which also stands out in China. Along with the development of industry and agriculture, groundwater will face the threaten of various kinds of spot-shaped or area-scoped pollution fountain. It is well known that once the groundwater was polluted, then the polluting substance in it would not be ? eliminated easily, which will definitely worsen the shortage of water resource. This could not only block the development of economy, but also destroy the environment and affect people's health.In order to forecast, evaluate and even tackle the practical problem of water pollution ultimately, people have already figured an integral set of mathematical theories which is based on the convection-dispersion equations after years of diligent work. And the relevant certainty model is in fact a mathematical model consisting groundwater movement differential equation, controlling equation, initial condition and boundary condition. Generally speaking, the result of stochastic could be displayed by analytic expression or analyzed by numerical method like difference method , FEM etc. However, the features of groundwater like the asymmetry of the groundwater flow speed, the uncertainty of it and its irregular distribution in space make it necessary to introduce some stochastic factors into the certainty mode.The stochastic differential equation could help people research, reveal and describe the uncertain changing rules of the objective things. This could provide a new mathematical toolfor people to further study the rule of groundwater movement.