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Pore-scale percolation modeling of two-phase flow in granular porous media.

机译：颗粒状多孔介质中两相流的孔尺度渗流建模。

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A modified invasion percolation (MIP) model of two-phase flow is implemented at the pore scale and applied to a range of immiscible displacement processes. Simulation results quantify the relationship between the statistical properties of the void space and the immiscible displacement structure.; A dimensional analysis of two-phase flow in porous is presented, demonstrating the role of the pore scale and characterizing the immiscible displacement process in terms of thirteen dimensionless parameters. Difficulties associated with implementing scaled physical model of two-phase flow processes are identified, and similitude criteria are developed for a scaled physical model of air sparging.; Separate MIP simulations of gradient stabilized drainage and imbibition to equilibrium demonstrate that the controlling parameters are the (appropriate) Bond number, Bo (ratio of buoyancy forces evaluated over the grain scale to capillary forces evaluated over an appropriate pore scale, depending on whether drainage or imbibition), and the coefficient of variation of the appropriate length scale distribution. The equilibrium height is demonstrated to scale as the inverse of the Bo (per Jurin's law) and the width of the equilibrium fringe to scale as the combined parameter Bo/cov. MIP simulations of gradient stabilized displacement are also used to quantify residual saturations and constrain estimates of the mean coordination number.; Results of simulations of gradient destabilized drainage results demonstrate that finger sizes depend on the effective Bond number (consisting of buoyancy and possibly viscous components) and the (nonwetting) coefficient of variation. Experimental results are used to examine the interactions among advancing fingers, and identify future directions of MIP modeling. Based on a scale analysis, criteria are presented that quantify the conditions under which finger generation and disconnection are expected to occur.; The coupled percolation/continuum model of drying in granular porous media builds on work by Prat (1993) and Prat (2002). Primary contributions include detailed analyses of the effects of changes in boundary conditions and medium properties on drying times and phase distribution, as well as an investigation of the observed secondary drying front. In addition, results provide evidence of the ability of the MIP model at estimating interface areas and mass transfer rates.
机译：在孔尺度上实现了修正的两相流入侵渗透（MIP）模型，并将其应用于一系列不混溶的驱替过程。仿真结果量化了空隙空间的统计特性与不混溶位移结构之间的关系。提出了多孔两相流的三维分析，证明了孔垢的作用，并根据十三个无量纲参数表征了不混溶的驱替过程。确定了与执行两相流过程的按比例缩放的物理模型相关的困难，并为空气喷射的按比例缩放的物理模型开发了相似标准。梯度稳定排水和吸收到平衡的单独MIP模拟表明，控制参数是（合适的）键数 Bo （在整个晶粒度上评估的浮力与在适当孔隙中评估的毛细力之比）比例，取决于是否排水或吸水），以及适当的长度比例分布的变异系数。平衡高度显示为按 Bo （按Jurin定律）的倒数缩放，并且平衡条纹的宽度按比例缩放为 Bo / cov的组合参数。梯度稳定位移的MIP模拟也用于量化残余饱和度并限制平均配位数的估计。梯度不稳定排水结果的模拟结果表明，手指的大小取决于有效的键数（由浮力和可能的粘性成分组成）和（非润湿性）变异系数。实验结果用于检查前进的手指之间的相互作用，并确定MIP建模的未来方向。在量表分析的基础上，提出了一些标准，可以量化手指发生和断开的条件。颗粒多孔介质中干燥的耦合渗流/连续谱模型建立在Prat（1993）和Prat（2002）的工作基础上。主要的贡献包括对边界条件和介质性质的变化对干燥时间和相分布的影响的详细分析，以及对观察到的二次干燥前沿的研究。此外，结果提供了MIP模型估计界面面积和传质速率的能力的证据。

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