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On the cubic law and variably saturated flow through discrete open rough-walled discontinuities

机译:关于离散开口粗壁不连续面的立方定律和可变饱和流动

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摘要

Fracture flow is fairly well documented with the widespreadapplication of, for instance, the cubic law and assumed smooth parallel plate model.Geometrical intricacies such as aperture, roughness and infill do however significantlyinfluence the validity of the cubic law with even its application to smooth parallelsystems being contestable. Rock mechanical discontinuity surveys provide valuableinformation regarding the discontinuity geometry that can likely contribute to theevaluation of flow through individual fractures with variable properties. The hydraulicaperture is available for the transmission of flow, while normal and shear stresses alterdiscontinuity properties over time. In this, numerous advances have been made tobetter accommodate deviations of natural discontinuity geometry to that of smoothparallel plates and at partial saturation. The paper addresses these advances and detailsconditions under which the cubic law, even in local form, fails to adequately estimate thehydraulic properties. The role of roughness in open discontinuities is addressed inparticular, as contact areas and high amplitude roughness cause most extensivedeviation from the cubic law. Aperture of open fractures still governs hydraulicproperties, but inertial forces control flow in very rough fractures, in which instancesthe applicability of the cubic law should be revisited. Open questions are finally posed,assessment of which will contribute significantly to the understanding of flow throughindividual discontinuities as well as fracture networks.
机译:裂缝流在三次方定律和假定的光滑平行板模型等广泛应用中得到了很好的记录,然而,几何学上的复杂性(例如孔径,粗糙度和填充量)确实影响了三次定律的有效性,甚至适用于光滑的平行系统。可竞争的。岩石力学不连续性调查提供了有关不连续性几何形状的有价值的信息,这些信息可能有助于评估通过具有可变特性的单个裂缝的流动。液压孔可用于传输流量,而法向应力和剪应力会随时间改变不连续性。在此方面,已经取得了许多进步,以更好地适应自然不连续几何形状与平滑平行板的偏差,并能部分饱和。本文讨论了这些进展和详细条件,在这些条件下,即使是局部形式的立方定律也无法充分估计水力特性。尤其要解决粗糙度在开放不连续中的作用,因为接触面积和高振幅粗糙度会导致与立方定律的最大偏差。开裂裂缝的孔径仍控制着水力性质,但是惯性力控制着非常粗糙的裂缝中的流动,在这种情况下,应重新考虑三次定律的适用性。最后提出了开放性问题,对这些问题的评估将大大有助于理解通过个体间断以及裂隙网络的流动。

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