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首页> 外文期刊>International Journal of Heat and Mass Transfer >An analytical model for shale gas transport in circular tube pores
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An analytical model for shale gas transport in circular tube pores

机译：页岩气在圆管孔隙中传输的解析模型

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摘要

An analytical model for gas transport in shale media is proposed on the basis of the weighted superposition of slip flow, bulk diffusion and Knudsen diffusion. The model takes account of slip effect and real gas effect, and is successfully validated by experimental data and Lattice Boltzmann simulation results. The contribution of each transport mechanism to the total flow is investigated. The effect of porosity, diameter and pressure on the apparent permeability is studied and a sensitivity analysis is performed to evaluate the significance of the parameters for gas transport. The results show: (1) the present model can reasonably describe the process of the mass transform of all different gas transport mechanisms; (2) As pressure and pore diameter decrease, the number of molecule-wall collisions gradually predominates over the number of intermolecular collisions, Knudsen diffusion contributes more to the total flow; and (3) the apparent permeability increases with porosity, pore diameter, and decreases with pressure. It is more sensitive to pressure in rarefied gas flow regime, and pore diameter has a significant impact under high pressure. The present model can provide some theoretical support in numerical simulation of shale gas production.
机译：在滑流，体积扩散和克努森扩散的加权叠加的基础上，提出了页岩介质中天然气运移的解析模型。该模型考虑了滑移效应和实际气体效应，并已通过实验数据和莱迪思·玻尔兹曼模拟结果成功验证。研究了每种运输机制对总流量的贡献。研究了孔隙度，直径和压力对表观渗透率的影响，并进行了敏感性分析，以评价气体输送参数的重要性。结果表明：（1）该模型能够合理地描述所有不同输气机理的质量转化过程； （2）随着压力和孔径的减小，分子-壁碰撞的数量逐渐超过分子间碰撞的数量，Knudsen扩散对总流量的贡献更大； （3）表观渗透率随孔隙度，孔径增加而增大，随压力减小而减小。在稀薄的气体流动状态下，它对压力更敏感，在高压下，孔径对压力有很大的影响。该模型可以为页岩气产量的数值模拟提供一定的理论支持。

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