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首页> 美国卫生研究院文献>Polymers >The Effect of Heat Transfer and Polymer Concentration on Non-Newtonian Fluid from Pore-Scale Simulation of Rock X-ray Micro-CT
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The Effect of Heat Transfer and Polymer Concentration on Non-Newtonian Fluid from Pore-Scale Simulation of Rock X-ray Micro-CT

机译：岩石X射线微CT孔尺度模拟的传热和聚合物浓度对非牛顿流体的影响

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摘要

Most of the pore-scale imaging and simulations of non-Newtonian fluid are based on the simplifying geometry of network modeling and overlook the fluid rheology and heat transfer. In the present paper, we developed a non-isothermal and non-Newtonian numerical model of the flow properties at pore-scale by simulation of the 3D micro-CT images using a Finite Volume Method (FVM). The numerical model is based on the resolution of the momentum and energy conservation equations. Owing to an adaptive mesh generation technique and appropriate boundary conditions, rock permeability and mobility are accurately computed. A temperature and concentration-dependent power-law viscosity model in line with the experimental measurement of the fluid rheology is adopted. The model is first applied at isothermal condition to 2 benchmark samples, namely Fontainebleau sandstone and Grosmont carbonate, and is found to be in good agreement with the Lattice Boltzmann method (LBM). Finally, at non-isothermal conditions, an effective mobility is introduced that enables to perform a numerical sensitivity study to fluid rheology, heat transfer, and operating conditions. While the mobility seems to evolve linearly with polymer concentration in agreement with a derived theoretical model, the effect of the temperature seems negligible by comparison. However, a sharp contrast is found between carbonate and sandstone under the effect of a constant temperature gradient. Besides concerning the flow index and consistency factor, a master curve is derived when normalizing the mobility for both the carbonate and the sandstone.
机译：非牛顿流体的大多数孔尺度成像和模拟都是基于简化的网络建模几何，却忽略了流体的流变性和传热。在本文中，我们通过使用有限体积法（FVM）模拟3D微型CT图像，开发了在孔尺度下流动特性的非等温和非牛顿数值模型。数值模型基于动量方程和能量守恒方程的分辨率。由于采用了自适应网格生成技术和适当的边界条件，因此可以精确计算出岩石的渗透率和流动性。采用与温度和浓度有关的幂律粘度模型，该模型符合流体流变学的实验测量。该模型首先在等温条件下应用于2个基准样品，即枫丹白露砂岩和Grosmont碳酸盐样品，并且发现与Lattice Boltzmann方法（LBM）非常吻合。最后，在非等温条件下，引入有效的迁移率，从而能够对流体流变性，传热和操作条件进行数值敏感性研究。尽管迁移率似乎与聚合物浓度线性一致，但与所推导的理论模型一致，但相比之下，温度的影响似乎可以忽略不计。但是，在恒定温度梯度的作用下，碳酸盐岩和砂岩之间形成鲜明的对比。除了涉及流动指数和稠度因子外，在归一化碳酸盐岩和砂岩的迁移率时，还可以得出一条主曲线。

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