Tianyuan Mathematical Center
in Southwest China

A fully explicit and unconditionally energy-stable scheme for Peng-Robinson VT flash calculation based on dynamic modeling

讲座专家：吴远卿 副研究员（深圳大学）

讲座时间：2022.11.16.  14:00—15:00

讲座形式：线上报告，腾讯会议ID：922-200-204，无密码

讲座内容：

摘要:Since the Peng-Robinson (PR) equation of state (EoS) has proven itself to be one of the most reliable EoS, especially in the chemical and petroleum industries, the flash calculation based on the PR EoS is considered to be a foundation for describing complex compositional flows and for evaluating hydrocarbon reservoirs. Compared to the traditional Pressure- Temperature (PT) flash calculation, the novel Volume-Temperature (VT) flash calculation has become more appealing due to its advantages, such as less sensitivity to primary variables like pressure or volume. However, previous numerical schemes of the VT flash calculation involved many complicated nonlinear systems, which makes convergence hard to achieve. To treat this challenge, a fully explicit and unconditionally energy-stable scheme is proposed in this work. It is known that the dynamic model for VT flash calculation can preserve both the Onsager’s reciprocal principle and the energy dissipation law. By combining the dynamic model and the linear semi-implicit scheme, the moles and volume can be updated, with the advantage that the energy-dissipation feature can be preserved at a discrete level unconditionally. Then, with the convex-concave splitting approach and the component-wise iteration framework, the scheme becomes fully explicit. The scheme shows promising potential not only because it inherits the original energy stability to ensure convergence, but it also reduces the implementation burden significantly in some engineering scenarios. A lot of numerical experiments are carried out. The numerical results show good agreement with benchmark data and the energy decaying trend at a very large time step demonstrates the stability and efficiency of the proposed scheme.

专家简介：吴远卿，男，先后毕业于中国科学技术大学、北京大学和沙特阿拉伯阿卜杜拉国王科技大学，现为深圳大学数学与统计学院副研究员和硕士生导师。研究方向包括油气藏数值模拟、并行计算、深度学习等。他是深圳市孔雀计划人才和南山区领航人才，国际期刊Frontiers in Physics编委。他以第一作者或通讯作者发表中科院一区论文13篇，主持国家级和省市级科研项目4项，项目总金额278万元，以独立完成人身份取得软件著作权3项。

邀请人：贺巧琳