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多孔介质期刊
影响因子: 1.061 5年影响因子: 1.151 SJR: 0.504 SNIP: 0.671 CiteScore™: 1.58

ISSN 打印: 1091-028X
ISSN 在线: 1934-0508

多孔介质期刊

DOI: 10.1615/JPorMedia.v13.i5.60
pages 477-486

FLOW ANALYSIS OF NON-NEWTONIAN VISCOELASTIC FLUIDS IN POROUS MEDIA

Dengke Tong
China University of Petroleum, Shandong, Dongyiing 257061, China
Huiping Hu
China University of Petroleum, Shandong, Dongyiing 257061, China

ABSTRACT

In this article, a Burgers fluid model is introduced to the seepage flow mechanics to establish the relaxation models of non-Newtonian viscoelastic fluids. The flow characteristics of non-Newtonian viscoelastic fluids through a porous medium are studied using the integral transform. Exact solutions are obtained using Weber transform and Hankel transform. The long-time and short-time asymptotic solutions for an infinite formation are also obtained. The pressure-transient behavior of non-Newtonian viscoelastic fluid flow through an infinite reservoir is studied using the asymptotic solutions. In the initial stage, the more obvious the viscoelastic characteristics of the fluid are, the more distinct are the effects toward the pressure curves. The effects of different outer boundaries on the pressure behavior are also studied. The well-known solutions for a Newtonian fluid as well as those corresponding to a Maxwell fluid, a second-grade fluid, and an Oldroyd-B fluid appear as limiting cases of our solutions.


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