地下水运动随机微分方程浅论  

A BRIEF DISCUSSION ON THE STOCHASTIC DIFFERENTIAL EQUATION OF GROUNDWATER MOVEMENT

作　　者：潘宏雨 王国成[2] 

机构地区：[1]郑州工业贸易学校,郑州市450007 [2]郑州大学,郑州市450052

出　　处：《勘察科学技术》1998年第4期7-10,34,共5页Site Investigation Science and Technology

摘　　要：该文探讨和介绍了地下水运动中几类常用的随机微分方程模型与求解方法。如带有随机边界条件、随机力函数及含有随机系数的地下水运动模型；并将多孔介质中地下水运移近似看作布朗运动，引入伊藤随机积分研究地下水运动规律。This paper discusses and introduces several kinds of commonly used model of stochastic differential equation and the method of solution in the groundwater movement. For instance, the groundwater movement models with stochastic boundary conditions, with stochastic force functions and containing stochastic coefficients. Also, approximately viewing the groundwater migration in porous media as Brown movement, the laws of groundwater movement being studied by introducing Ito stochastic integral.

关 键 词：地下水运动 随机微分方程 伊藤随机积分 地下水 

分 类 号：P641.2[天文地球—地质矿产勘探]