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arXiv 1004.1012physics.flu-dyn
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基于瓶颈概念推广的自仿射断裂渗透率估计

Permeability Estimates of Self-Affine Fracture Faults Based on Generalization of the Bottle Neck Concept

Laurent Talon, Harold Auradou, Alex Hansen

摘要:

在推广一维瓶颈概念的基础上,提出了一种计算二维自仿射渗透率场有效渗透率的方法。我们测试的方法上的裂缝故障的地方渗透率场是由立方体的孔径场。即使在两个断裂表面之间存在大量机械重叠时,该方法仍保持准确。该方法的计算效率相当于计算一个简单的平均值,是两个数量级以上的速度比求解雷诺方程使用有限差分格式。

英文摘要:

We propose a method for calculating the effective permeability of two-dimensional self-affine permeability fields based on generalizing the one-dimensional concept of a bottleneck. We test the method on fracture faults where the local permeability field is given by the cube of the aperture field. The method remains accurate even when there is substantial mechanical overlap between the two fracture surfaces. The computational efficiency of the method is comparable to calculating a simple average and is more than two orders of magnitude faster than solving the Reynolds equations using a finite-difference scheme.

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