多孔介质微观结构的随机动力学构建方法  

Micro-model of porous media structure based on stochastic dynamic process

作　　者：张晓虎[1] 何满潮[1,2] 刘得超 任晓龙[1] 

机构地区：[1]中国矿业大学(北京)力学与建筑工程学院,北京100083 [2]深部岩体力学与地下工程国家重点实验室,北京100083

出　　处：《辽宁工程技术大学学报（自然科学版）》2014年第9期1240-1245,共6页Journal of Liaoning Technical University (Natural Science)

基　　金：国家自然科学基金资助项目(51134005)

摘　　要：针对多孔介质建模的复杂性,从随机动力学的朗之万方程出发,引入概率的影响,建立构造随机多孔介质的微观生长模型.通过不同的初始固相分布,该模型可以演化出各种不同性质的多孔介质微观结构.由于考虑了颗粒之间的作用力,模型生成的多孔介质与自然界真实的多孔介质更为接近,存在连通和不连通的孔隙结构,孔道迂回曲折.通过对多孔介质微观流动的数值模拟,验证该模型的实用性、可行性.This paper summarized and analysed the current researches on porous media structure moaeulng, ana their advantages and disadvantages. A micro-model based on stochastic dynamic process was developed aiming at the difficulty of porous media＇s micro-structure modelling. The Langevin equation was introduced along with probability. This model can get different kinds of micro-porous media structures in different initial solid distribution conditions. The model considers the interaction force between grains, so that the generated micro-model is quite similar to the real natural porous media structure, which contains tortuous porous structures connected or disconnected. An example of simulating the micro flow in porous media structure based this model is calculated, which validates the model＇s feasibility and practicability.

关 键 词：多孔介质 随机动力学 表征单元 微观结构 N-S方程 

分 类 号：S152.5[农业科学—土壤学]