Generalized Flow Analysis of Non-Newtonian Visco-Elastic Fluids Flow Through Fractal Reservoir
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摘要: 将分形引入渗流力学,建立了分形油藏具有松弛特性的粘弹性液体的不稳定渗流模型;利用双参数(df,ds)刻画分形油藏的分形特性,利用四参数(df,ds,λv,λp)描述粘弹性液的广义流动特征;提出了广义的正交变换,并利用Laplace-Weber变换,拉氏-正交变换给出了无限大地层和有界地层的精确解和渐近解;通过拉氏数值反演和渐近解分析了分形油藏粘弹性液体流动特征。探讨了改变分形参数时压力变化规律。Abstract: In this paper,fractal geometry theory is used to combine with the seepage flow mechanics to establish the relaxation models of non-Newtonian visco-elastic fluids flow in fractal reservoirs.A method to scale the fractal properties of a fractal reservoir by a double parameters(df,ds)and to describe the generalized flow characteristics of visco-elastic fluid by four parameters(df,ds,λv,λp) are presented.Exact solutions and asymptotic solutions have been obtained by using Laplace-Weber and Laplace-orthogonal transforms with both infinite and finite reservoirs.The pressure transient behavior of non-Newtonian visco-elastic fluids flow through a fractal reservoir are studied by using the numerical Laplace transform inversion and asymptotic solutions.The law of pressure change for various fractal parameter is obtained.
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Key words:
- visco-elastic fluids /
- fractal /
- integral transform /
- well test analysis
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