西华大学学报（自然科学版）2011，Vol.30Issue(5)：29-31,37,4.
分形球向流油气藏有效井径模型及其解
Effective Wellbore Radius Model of Fractal Sphere Seepage Flow for an Oil-gas Reservoir and Its Solution
摘要
Abstract
The paper establishes and discusses the mathematical model of unstable seepage for a fractal oil-gas reservoir, and the model considers the spherical flow and the variable flow rate production and the skin effect and the three kinds of outer boundary conditions (infinite boundary, finite with constant pressure and closed boundary). Successively using the dimensionless transformation, the Laplace transformation, and then according to the properties of Bessel function and the model of Mathematical Physics Equation, the expressions of the reservoir pressures and the wellborn pressures in Laplace space are attained. Effects of the fractal dimension, fractal index and effective wellbore radius are shown in the expressions of the reservoir pressures and the wellborn pressures.关键词
分形油气藏/球向流/变流率/有效井径/Laplace变换/Bessel函数Key words
fractal oil-gas reservoir/ spherical flow/ variable flow rate/ effective wellbore radius / Laplace transformation/ Bessel function分类
能源科技引用本文复制引用
盛翠翠,李顺初,暴喜涛..分形球向流油气藏有效井径模型及其解[J].西华大学学报（自然科学版）,2011,30(5):29-31,37,4.基金项目
国家科技重大专项项目(2008ZX50443-14) （2008ZX50443-14）
西华大学重点学科-应用数学(XZD0910-09-1) （XZD0910-09-1）
西华大学创新基金(YC.JJ200916). （YC.JJ200916）
