To investigate the influence of compression, Poisson effect and turbulence on the fluid flow process and the inversion for fracture surface geometries, we simulate two sets of fractures: one with a defined fracture height standard deviation σ constant and a varying autocorrelation length λ and another with a fixed λ and a changing σ. Under compression, the normal stress closes fractures with a large aperture and thus reduces the effective permeability. However, the Poisson effect, which is induced by the compression, has little influence on the fluid flow properties and does not affect the inversion for fracture height standard deviation or the autocorrelation length. When introducing turbulence, we observe a significant difference between the performance of the Navier–Stokes equation and the local cubic law; compared with the Navier–Stokes equation, the local cubic law overestimates the peak value of the breakthrough time curve and effective permeability, thereby underestimating the mean fracture aperture.

中文翻译：

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影响单个裂缝中流体流动的因素

为了研究压缩、泊松效应和湍流对流体流动过程和裂缝表面几何形状反演的影响，我们模拟了两组裂缝：一组具有定义的裂缝高度标准偏差σ常数和变化的自相关长度λ，另一组具有固定的λ和变化的σ. 在压缩作用下，正应力以大孔径闭合裂缝，从而降低有效渗透率。然而，由压缩引起的泊松效应对流体流动特性的影响很小，不影响裂缝高度标准偏差或自相关长度的反演。在引入湍流时，我们观察到 Navier-Stokes 方程和局部三次定律的性能之间存在显着差异；与 Navier-Stokes 方程相比，局部三次定律高估了突破时间曲线和有效渗透率的峰值，从而低估了平均裂缝孔径。