A Study on Elliptical Gas Flow in Tri-porosity Gas Reservoirs |
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Authors: | Zhang Liehui Zhang Xiaotao Wang Yong Zhao Yulong |
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Institution: | (1) College of Modern Profession and Technology, Nanchang, Jiangxi, 330012, China;(2) Jiangxi Normal University, Nanchang, Jiangxi, 330022, China;(3) Key Laboratory of Optoelectronic & Telecommunication of Jiangxi, Nanchang, Jiangxi, 330022, China; |
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Abstract: | Elliptical flow is common in the near vertical fracture area and in anisotropic reservoirs. However, the classical radial
flow models cannot provide a complete analysis for elliptical flow. This article presents a new mathematic model for gas elliptical
flow in tri-porosity gas reservoirs. The differential equation of the new model is written in Mathieu equation, so that the
solution can also be expressed by Mathieu functions. The numerical solution of the corresponding Mathieu functions ce
2n
(ξ, −q), Ke
2n
(ξ, −q) and their derivatives are obtained to derive the dimensionless pseudo pressure drop in Laplace space. The sensitivities
of tri-porosity systems, including the parameters related to anisotropies C
De2S
and ξ
w, the storativity ratios ω
f and ω
m, and the interporosity flow coefficients λvf and λmf, are studied using Laplace numerical inversion. The new solution includes not only the factors considered in classic solutions
in previous articles, but also incorporates the effect of reservoir anisotropy. |
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Keywords: | |
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