3D多孔介质渗透率的格子Boltzmann模拟  

Lattice Boltzmann Simulation of Permeability in 3D Porous Medium

作　　者：朱益华[1] 陶果[1] 方伟 徐孝日 

机构地区：[1]CNPC测井重点实验室中国石油大学,北京102249 [2]中油测井技术服务有限责任公司,北京100101

出　　处：《测井技术》2008年第1期25-28,共4页Well Logging Technology

基　　金：国家自然科学基金资助项目(50374048)

摘　　要：多孔介质结构的复杂性使其内部的流动非常复杂,通常不加简化就难以求解。格子Boltzmann方法以其无需简化就能处理复杂孔隙结构的优势,成为研究多孔介质流动的一种有效的数值计算方法。从现场采集的彩色铸体剖面图中提取孔隙信息重构了一种接近真实岩石的3D孔隙介质数字岩心。在此基础上,使用格子Boltzmann方法进一步得到能准确求解多孔介质中流动问题的Navier-Stokes方程,用以研究孔隙岩石的渗流特性。该方法对简单模型渗透率的模拟结果与相应的解析解或实验测量结果吻合良好,对某油田6个样品的模拟结果与实验结果的误差不大,说明格子Boltzmann方法可以用来计算实际问题的渗透率。The complexity of structure in porous medium results in too complex inner flow to get analytic solution without simplifying. Lattice Boltzmann method, because of its advantage in processing complex structure of porous medium dispensing with simplification, has become an effective numerical simulation way in studying flow in porous medium. 3 dimensional digitized core being close to the real porous structure is reconstructed from data of color image of epoxy-saturated thin section acquired in field. Based on the digitized core, Navier-Stokes equations, which can accurately solve flow problem in porous medium, can be derived with the lattice Bohzmann method to simulate and study seepage properties of porous rock. The simulated permeabilities of simple model with the method are in good conformity with the corresponding analytic solutions or experimental results, and errors of simulated to experimental results of 6 samples from an oilfield are not so large. It shows that lattice Boltzmann method can be used to calculate permeability in practice.

关 键 词：石油测井 多孔介质 渗透率 格子BOLTZMANN方法 数字岩心 

分 类 号：P631.84[天文地球—地质矿产勘探]