The Flow Analysis of Viscoelastic Fluid with Fractional Order Derivative in Horizontal Well |
| |
Authors: | Qinghe Wang Dengke Tong |
| |
Institution: | 1.China University of Petroleum (at East of China),Dongyiing,People’s Republic of China |
| |
Abstract: | The fractional calculus approach is introduced into the seepage mechanics. A three-dimensional relaxation model of viscoelastic
fluid is built. The models based on four boundary conditions of exact solution in Laplace space for some unsteady flows in
an infinite reservoir is obtained by using the Laplace transform and Fourier sine and cosine integral transform. The pressure
transient behavior of non-Newtonian viscoelastic fluid is studied by using Stehfest method of the numerical Laplace transform
inversion and Gauss–Laguerre numerical integral formulae. The viscoelastic fluid is very sensitive to the order of the fractional
derivative. The change rules of pressure are discussed when the parameters of the models change. The plots of type pressure
curves are given, and the results can be provided to theoretical basis and well-test method for oil field. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |