Anisotropy is a common feature for most of fibrous and porous media. This article reports a new method for measuring the 2D anisotropic permeability of a porous rock utilizing the measurements obtained from the steady-state flow between two concentric cylinders. The mathematical analysis of the experimental data is based on the general solution of the pressure equation derived for the steady-state flow equation for an anisotropic porous medium between two concentric cylinders. The general solution, incorporating the degree of anisotropy and the ratio between inner and outer cylinder radii, is presented in a dimensionless form. The solution shows that pressure distribution between the two cylinders is composed of an isotropic part plus a series representing the contribution of the anisotropy. The solution is validated through the comparison against numerically derived results and the analytical solution of two extreme cases; when the clearance between the two cylinders vanishes, and when the material is isotropic. The validation shows a perfect performance of the proposed solution even in the vicinity of the inner cylinder not like the approximate solutions existing in the literature. The validation also shows that the truncation of the series part has an impact on the results specially in the case of extreme anisotropy. Two experimental procedures 1) basic approach and 2) modified approach, utilizing the “pear” and “tent” charts derived from the general solution, demonstrate how to obtain the principle permeabilities and their directions. The applicability of the proposed experimental techniques is attained through the application of the modified approach over real experimental data from a holed core experiment to estimate anisotropic permeability parameters. The application of the proposed technique and the required modifications for measuring the anisotropy in tight cores are discussed. Also, the relation between the three-dimension anisotropy and the presented plane anisotropy is presented.

各向异性是大多数纤维和多孔介质的共同特征。本文报道了一种利用从两个同心圆柱体之间的稳态流动获得的测量值来测量多孔岩石的二维各向异性渗透率的新方法。实验数据的数学分析是基于为两个同心圆柱体之间的各向异性多孔介质稳态流动方程导出的压力方程的一般解。包含各向异性程度以及内圆柱半径与外圆柱半径之比的一般解决方案以无量纲形式给出。该解决方案表明，两个圆柱体之间的压力分布由各向同性的部分加上代表各向异性的贡献的级数组成。通过与数值得出的结果进行比较以及两种极端情况的解析解来验证该解。当两个圆柱体之间的间隙消失时，以及材料各向同性时。验证表明，即使在内部圆柱体附近，所提出的解决方案也具有完美的性能，这与文献中存在的近似解决方案不同。验证还表明，序列部分的截断对结果有影响，特别是在极端各向异性的情况下。两种实验程序1）基本方法和2）修改方法，利用从一般解决方案中得出的“梨”和“帐篷”图，演示了如何获得原理渗透率及其方向。所提出的实验技术的适用性是通过将改进的方法应用于带孔岩心实验的真实实验数据以估计各向异性渗透率参数而实现的。讨论了所提出的技术的应用以及对测量紧密堆芯中的各向异性的必要修改。此外，提出了三维各向异性与所提出的平面各向异性之间的关系。