分形介质中球向渗流模型解的相似结构  

Similar Structure of Fractal Medium Ball to the Percolation Model Solution

作　　者：陈宗荣[1] 

机构地区：[1]西昌学院汽车与电子工程学院,四川西昌615013

出　　处：《西昌学院学报（自然科学版）》2012年第2期28-30,共3页Journal of Xichang University(Natural Science Edition)

基　　金：国家科技重大专项项目(项目编号:2008ZX50443-14);四川省教育厅自然科学重点项目(项目编号:12ZA164)

摘　　要：本文针对分形介质储层中球面径向渗流模型,利用Laplace变换,获得了在考虑井筒储集和表皮系数的井底条件和各种外边界条件下的无量纲储层压力和井底压力的Laplace空间解;并通过深入地分析,发现并研究了解的相似结构和相似核函数的特征。本研究给编制试井分析软件带来了极大的方便,也是渗流力学理论的新进展。Based on the spherical radial flow model in fractal medium reservoirs,using Laplace transformation,this paper obtains dimensionless reservoir pressure and bottomhole pressure Laplace space solution by considering wellbore storage and skin factor of downhole conditions and various boundary conditions.And through in-depth analysis,this paper discovers and studies the similar structure and similar kernel function feature.The research has not only brought great convenience for preparation of well testing analysis software but also the new development of the theory of percolation mechanics.

关 键 词：分形介质 球面径向渗流 LAPLACE空间解 相似结构 相似核函数 

分 类 号：O357.3[理学—流体力学]