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首页> 外文期刊>International Journal of Heat and Mass Transfer >Effect of swelling on the onset of buoyancy-driven convection during the CO_2 dissolution process in a porous medium
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Effect of swelling on the onset of buoyancy-driven convection during the CO_2 dissolution process in a porous medium

机译：多孔介质中CO_2溶解过程中溶胀对浮力驱动对流发生的影响

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摘要

By considering the swelling due to the CO_2 dissolution, the onset of buoyancy-driven convection in a porous medium is analyzed theoretically. Based on the Darcy equation, the flow and advection-diffusion equations are derived. The base concentration field in an interface movement system due to the volume expansion is slightly different from a fixed interface one. Based on the linear stability theory, new stability equations are obtained in the global (τ,z)-domain and in the semi-infinite (τ, ζ)-domain. Unlike the stability equations in the global (τ,z)-domain, a normal mode analysis is possible in the semi-infinite (τ, ζ)-domain. The normal mode stability equations are solved analytically for the no-swelling system, and numerically for the swelling ones. The critical conditions are obtained as a function of the Darcy-Rayleigh number and the interface movement parameter. The interface movement accelerates the onset of convection with small wavelength instability. The effect of interface movement on the stability is severe, especially in a highly soluble system such as a CO_2 improved oil recovery case.
机译：通过考虑由于CO_2溶解引起的溶胀，从理论上分析了多孔介质中浮力驱动对流的发生。基于达西方程，推导了流动方程和对流扩散方程。由于体积扩展，界面运动系统中的基本浓度场与固定界面略有不同。基于线性稳定性理论，在全局（τ，z）域和半无限（τ，ζ）域中获得了新的稳定性方程。与全局（τ，z）域中的稳定性方程不同，在半无限（τ，ζ）域中可以进行正态分析。对于无膨胀系统，正常模式稳定性方程通过解析求解，对于膨胀系统，其数值求解。根据达西-瑞利数和界面运动参数获得临界条件。界面运动以较小的波长不稳定性加速对流的发生。界面运动对稳定性的影响非常严重，尤其是在高溶解度的系统中，例如在CO_2改善采油率的情况下。

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