An explicit computational algorithm is developed to simulate complex flow of multiphase multicomponent slightly compressible fluid through porous media in view of heat sources. The proposed algorithm is based on the original model of porous media flow constructed by the analogy with the quasigasdynamic system of equations including the total energy conservation equation and modified to change the continuity equation type from parabolic to hyperbolic. It is approximated by a three-level explicit difference scheme having the second order of approximation in time and in space with a rather mild stability condition. The model takes into account gravitational and capillary forces, includes strongly nonlinear functions of the relative phase permeability. For the description of mass and energy transfer between the phases the model is generalized to account for multicomponent fluid structure. Conservation laws are formulated now for the components in terms of mass concentrations of components in the phases. The dependence of phase density and dynamic viscosity on pressure, temperature and multicomponent composition should be noted. Constants of the phase equilibrium close the system of equations. The created approach has been verified by test predictions of two- and three-phase fluid flows. Physically correct results were obtained, a good agreement with results by other authors was observed.

中文翻译：

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CMMSE 2019：一种用于模拟多孔介质中非等温多相多组分流动的显式算法

针对热源，开发了一种显式计算算法来模拟多相多组分微可压缩流体通过多孔介质的复杂流动。该算法是在原有的多孔介质流动模型的基础上，类比包括总能量守恒方程在内的拟气动力方程组构建的，并将连续性方程类型从抛物线型改为双曲线型。它由具有时间和空间二阶近似值的三级显式差分方案近似，具有相当温和的稳定性条件。该模型考虑了重力和毛细管力，包括相对相渗透率的强非线性函数。为了描述相之间的质量和能量传递，模型被推广以解释多组分流体结构。现在根据相中组分的质量浓度为组分制定守恒定律。应注意相密度和动态粘度对压力、温度和多组分组成的依赖性。相平衡常数关闭方程组。所创建的方法已通过两相和三相流体流动的测试预测得到验证。获得了物理上正确的结果，观察到与其他作者的结果非常一致。应注意相密度和动态粘度对压力、温度和多组分组成的依赖性。相平衡常数关闭方程组。所创建的方法已通过两相和三相流体流动的测试预测得到验证。获得了物理上正确的结果，观察到与其他作者的结果非常一致。应注意相密度和动态粘度对压力、温度和多组分组成的依赖性。相平衡常数关闭方程组。所创建的方法已通过两相和三相流体流动的测试预测得到验证。获得了物理上正确的结果，观察到与其他作者的结果非常一致。