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Optimal Wetting Angles in Lattice Boltzmann Simulations of Viscous Fingering

机译：粘性指法晶格Boltzmann模拟中的最佳润湿角度

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摘要

We conduct pore-scale simulations of two-phase flow using the 2D Rothman-Keller colour gradient lattice Boltzmann method to study the effect of wettability on saturation at breakthrough (sweep) when the injected fluid first passes through the right boundary of the model. We performed a suite of 189 simulations in which a "red" fluid is injected at the left side of a 2D porous model that is initially saturated with a "blue" fluid spanning viscosity ratios M=nu(r)/nu(b)is an element of[0.001,100] and wetting angles theta(w)is an element of[0 degrees,180 degrees]. As expected, at low-viscosity ratios M=nu(r)/nu(b) 1 we observe viscous fingering in which narrow tendrils of the red fluid span the model, and for high-viscosity ratios M 1, we observe stable displacement. The viscous finger morphology is affected by the wetting angle with a tendency for more rounded fingers when the injected fluid is wetting. However, rather than the expected result of increased saturation with increasing wettability, we observe a complex saturation landscape at breakthrough as a function of viscosity ratio and wetting angle that contains hills and valleys with specific wetting angles at given viscosity ratios that maximize sweep. This unexpected result that sweep does not necessarily increase with wettability has major implications to enhanced oil recovery and suggests that the dynamics of multiphase flow in porous media has a complex relationship with the geometry of the medium and the hydrodynamical parameters.
机译：我们使用2D Rothman-Keller颜色梯度晶格Boltzmann方法进行两相流量的孔隙率模拟，以研究润湿性对喷射流体首先穿过模型的右边界时突破（扫描）饱和度的效果。我们进行了一套189次模拟，其中在最初用“蓝色”流体施加粘度比m = nu（r）/ nu（b）饱和的2d多孔模型的左侧注入“红色”流体。 [0.001,100]和润湿角度的元素Theta（w）是[0度，180度]的元素。正如预期的那样，在低粘度比m = nu（r）/ nu（b）中 1我们观察粘性卷曲的粘性卷曲跨越模型，以及高粘度比m 1，我们观察稳定的位移。粘性手指形态受润湿角度的影响，当注射的流体润湿时，润湿角度具有更圆形的手指的趋势。然而，由于增加粘度比和润湿角度，观察到具有山丘和谷的粘度比和润湿角度的函数，而不是增加饱和度的预期饱和度，而不是增加饱和度的预期结果。扫描不一定与润湿性不一定增加的这种意外结果对增强的采油具有重大影响，并表明多孔介质中的多相流动的动态与介质的几何形状和流体动力学参数具有复杂的关系。

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