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多孔介质两相流动分形质-热弥散系数模型

Fractal model of mass thermal dispersion coefficient for two-phase flow in porous media

  • 摘要: 利用分形理论描述了多孔介质微观孔喉结构,研究了两相流体在孔道空间内的占比情况,考虑了流体经过孔喉结构处流动状态发生改变产生二次流引起的局部水头损失,结合两相流体的沿途储热能力的差异,推导出孔道中同时存在两种相态流体的速度弥散效应和热弥散系数表达式.研究结果表明:饱和度小于0.1或大于0.9时,非湿润相流体速度弥散和热弥散系数变化受饱和度的影响较小,只与微观孔喉结构有关.当孔喉比为1时,局部水头损失为0,不存在速度弥散效应和热弥散效应;孔喉比大小在1~200时,速度弥散效应和热弥散效应随饱和度、孔喉比和流体物性参数的改变而改变;孔喉比大于200时,速度弥散效应变化不明显,对热弥散系数的影响不再显著,与饱和多孔介质孔喉比为150时速度弥散效应不再显著的结论不一致.壁面温度一定,当孔喉比大于2时,孔喉间隙近壁处的二次流停滞导致加热时间增加,孔喉结构间隙之间的流体温度与孔道壁面的温度近似相等,速度弥散和热弥散效应不受温度影响.

     

    Abstract: The fractal theory was used to describe the microscopic pore throat structure of porous media, and the proportion of two-phase fluid in the pore space was studied. The local head loss caused by the secondary flow due to the change of flow state of the fluid passing through the pore throat structure was taken into consideration, combining the difference in thermal storage capacity of the two-phase fluid along the way, the expression of the velocity dispersion effect and thermal dispersion coefficient of two-phase fluids in the pore space was derived. The research results indicate that when the saturation is less than 0.1 or greater than 0.9, the changes in velocity dispersion and thermal dispersion coefficient of non-wetting phase fluids are less affected by saturation and are only related to the microscopic pore throat structure. When the pore throat ratio is 1, the local head loss is 0, and there is no velocity dispersion effect or thermal dispersion effect. When the pore throat ratio is between 1 and 200, the velocity dispersion effect and thermal dispersion effect change with changes in saturation, pore throat ratio, and fluid physical parameters. When the pore to throat ratio is greater than 200, the change in velocity dispersion effect is not significant, and the influence on thermal dispersion coefficient is no longer significant, which is inconsistent with the conclusion that the velocity dispersion effect is no longer significant when the pore to throat ratio of saturated porous media is 150. When the wall temperature is constant and the pore to throat ratio is greater than 2, the stagnation of the secondary flow near the wall of the pore throat gap leads to an increase in the heating time. The fluid temperature between the pore throat structural gaps is approximately equal to the temperature of the hole wall. The velocity dispersion and thermal dispersion effects are not affected by temperature.

     

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