Gas flow in porous media with Klinkenberg effects
Gas flow in porous media with Klinkenberg effects
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DOI：
10.1023/a:1006535211684
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发表时间：
1998-07-01
影响因子：
2.7
通讯作者：
Persoff, P
中科院分区：
文献类型：
--
作者：
Wu, YS;Pruess, K;Persoff, P
气体在多孔介质中的流动不同于液体流动，因为气体具有很大的可压缩性和压力依赖的有效渗透率。后一种效应以Klinkenberg的名字命名，可能对气体流动行为产生重大影响，特别是在低渗透介质中，但由于气体流动控制方程中附加的非线性项在数学上的困难，在大多数以前的研究中被忽略了。本文提出了一套新的分析解决方案，用于分析稳态和瞬态气体通过多孔介质的流动，包括Klinkenberg效应。采用一种新形式的气体流动控制方程，结合克林肯伯格效应的解析解。通过本文的求解过程，可以很容易地导出一维、二维和三维多孔介质中气体流动的附加解析解。此外，用于线性化的气体流动方程的传统假设的有效性已被检查。一个普遍适用的程序已经开发的分析解决方案，使用线性化的瞬态气体流动的扩散率的准确评价。作为应用实例，新的解析解已被用来验证数值解，并设计新的实验室和现场测试技术，以确定Klinkenberg参数。建议的实验室分析方法也被用来分析数据的稳态流动测试的三个核心塞从间歇泉地热田。我们表明，这种新的方法和传统的方法Klinkenberg产生类似的结果Klinkenberg常数的实验室测试，但是，新的方法允许一个分析数据从瞬态和稳态测试在各种流动几何形状。
Gas flow in porous media differs from liquid flow because of the large gas compressibility and pressure-dependent effective permeability. The latter effect, named after Klinkenberg, may have significant impact on gas flow behavior, especially in low permeability media, but it has been ignored in most of the previous studies because of the mathematical difficulty in handling the additional nonlinear term in the gas flow governing equation. This paper presents a set of new analytical solutions developed for analyzing steady-state and transient gas flow through porous media including Klinkenberg effects. The analytical solutions are obtained using a new form of gas flow governing equation that incorporates the Klinkenberg effect. Additional analytical solutions for one-, two- and three-dimensional gas flow in porous media could be readily derived by the following solution procedures in this paper. Furthermore, the validity of the conventional assumption used for linearizing the gas flow equation has been examined. A generally applicable procedure has been developed for accurate evaluation of the analytical solutions which use a linearized diffusivity for transient gas flow. As application examples, the new analytical solutions have been used to verify numerical solutions, and to design new laboratory and field testing techniques to determine the Klinkenberg parameters. The proposed laboratory analysis method is also used to analyze data from steady-state flow tests of three core plugs from The Geysers geothermal field. We show that this new approach and the traditional method of Klinkenberg yield similar results of Klinkenberg constants for the laboratory tests; however, the new method allows one to analyze data from both transient and steady-state tests in various flow geometries.