分形油藏中非牛顿松弛粘弹性液体广义流动分析

同登科; 陈钦雷

分形油藏中非牛顿松弛粘弹性液体广义流动分析

同登科¹,
陈钦雷²

1.
石油大学(华东)数学系, 山东东营257062;
2.
石油大学(北京), 北京102249

详细信息

作者简介:
同登科(1963~ ),男,陕西志丹县人,副教授,博士,主要从事渗流力学及其应用研究.

中图分类号: O345;TE312
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- 被引次数: 0
出版历程
- 收稿日期: 1998-04-20
- 修回日期: 1999-04-21
- 刊出日期: 1999-12-15

Generalized Flow Analysis of Non-Newtonian Visco-Elastic Fluids Flow Through Fractal Reservoir

Tong Dengke¹,
Chen Qinlei²

1.
Petroleum University(East of China), Dongying, Shandong 257062, P R China;
2.
Petroleum University (Beijing), Beijing 102249, P R China

摘要

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(d_f,d_s)刻画分形油藏的分形特性,利用四参数(d_f,d_s,λ_v,λ_p)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。
- 粘弹性液体 /
- 分形 /
- 积分变换 /
- 试井分析
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(d_f,d_s)and to describe the generalized flow characteristics of visco-elastic fluid by four parameters(d_f,d_s,λ_v,λ_p) 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.
- visco-elastic fluids /
- fractal /
- integral transform /
- well test analysis

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参考文献(7)

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