标题： 采用带有附加喉道变量的广义通量函数改进全隐式两相孔隙网络模型 显示英文标题

标题： Improvement of fully-implicit two-phase pore-network models by employing generalized flux functions with additional throat variables

摘要： 在全隐式两相孔隙网络模型中，由于相渗透率的不连续性，开发出收敛良好的数值格式仍然是一个主要挑战。本文通过提出一个广义流函数来解决这些数值问题，该函数通过引入一个新的喉道变量$\Theta$来建立两相流动的连续流表达式。介绍了两种表达这一附加喉道变量的方法：第一种方法采用正则化策略，而第二种方法构建了一个额外的残差约束方程。研究表明，这种方法显著提高了精度，并确保了时间上的收敛性，这一点通过各种数值例子得到了验证。 显示英文摘要

摘要： In fully-implicit two-phase pore-network models, developing a well-converged scheme remains a major challenge, primarily due to the discontinuities in the phase conductivities. This paper addresses these numerical issues by proposing a generalized flux function that establishes a continuous flux expression for two-phase flows by introducing an additional throat variable $\Theta$. Two approaches for expressing this additional throat variable are introduced: the first applies regularization strategies, while the second constructs an additional residual constraint equation. It is shown that this approach significantly improves accuracy and ensures the temporal convergence, as demonstrated through various numerical examples.