解地下水流的Monte-Carlo随机法与积分插值法  

MONTE CARLO STOCHASTIC METHOD AND INTEGRAL INTERPO LATION METHOD FOR SOLVING GROUNDWATER FLOW PROBLEMS

作　　者：崔秀[1] 吴飞[1] 

机构地区：[1]中国地质大学

出　　处：《计算物理》1997年第4期597-599,共3页Chinese Journal of Computational Physics

摘　　要：分别采用积分插值法与ＭｏｎｔｅＣａｒｌｏ随机法对地下水流问题进行了理论研究，提出了ＭｏｎｔｅＣａｒｌｏ随机差分法。对这两种方法的计算格式及边值条件在格式中的处理进行了推导、分析及论述；并且选取了一个具有解析解的二维承压稳定地下水流数学模型作为例子，进行了数值计算。The integral interpolation method and Monte Carlo stochastic method are adopted to study groundwater flow problems theoretically, and the Monte Carlo Stochastic Difference Method (M.C.S.D.M.) is also developed.The calculating patterns and treatments of boundary conditions for the two kinds of methods are deduced and analyzed; For a two dimension confined stable groundwater flow mathematical model.We compared its analytical solutions with the results of M.C.S.D.M.They concide very well.

关 键 词：积分插值法 地下水 蒙特卡洛随机法 差分格式 

分 类 号：P641.2[天文地球—地质矿产勘探] O242.1[天文地球—地质学]