大庆石油地质与开发

1996, (03)

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分形油藏非达西低速渗流模型及其解
A SEEPAGE FLOW MODEL WITH NON-DARCY LOW-VELOCITY FOR FRACTAL RESERVOIRS AND ITS SOLUTION

同登科,葛家理
Tong Dengke & Ge Jiali;

摘要(Abstract):

本文利用分形几何理论结合渗流力学建立了分形油藏非达西低速渗流的数学模型,引入了裂缝分形维数D和分形指数θ(见符号说明)。用拉氏变换求出了分形油藏非达西低速渗流模型无穷大地层的解及其长时渐近解。
This paper uses the fractal geometry theory and combines the seepage flow mechanics to estabish a mathematical model with non-Darcy low-velocity for fractal reservoirs,introducing the fractal dimension D and the fractal exponentθof fractures(See nomenclature).The Laplace transform is used to abtain the solution of infinite formations in the seepage flow model with non-Darcy low-velocity for fractal reservoirs and its long-time asymptotic one.

关键词(KeyWords): 分形几何,裂缝油藏,非达西低速渗流,拉氏变换
Fractal geometry,Fractured reservoir,Seepage flow with non-Darcy lowvelocity,Laplace transform

Abstract:

Keywords:

基金项目(Foundation):

作者(Authors): 同登科,葛家理
Tong Dengke & Ge Jiali;

DOI: 10.19597/j.issn.1000-3754.1996.03.005

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