讲座主题：A reinterpreted discrete fracture model in fractured porous media and its extension on nonconforming meshes

专家姓名：郭会

工作单位：中国石油大学（华东）

讲座时间：2026年10月16日 14:00-15:10

讲座地点：腾讯会议：166-327-656

主办单位：烟台大学数学与信息科学学院

内容摘要：

We propose a novel hybrid-dimensional model for the Darcy-Forchheimer flow and in fractured rigid porous media, with a natural applicability to non-conforming meshes. We derive a relationship between the total flow velocity in the porous media and the fluid velocity in the fractures. With this relation, it is natural to model the Darcy-Forchheimer flow in the whole computational domain by one equation. The local discontinuous Galerkin (LDG) method is applied for numerical discretization of the steady-state single-phase flow problem. Several numerical experiments validate the performance of the model with its effectiveness on non-conforming meshes. Moreover, For the study of wormhole formation in naturally fractured porous media, we develop a novel hybrid-dimensional two-scale continuum wormhole model, with fractures represented as Dirac-δ functions. The performance of the model and algorithms is validated, and the effects of various parameters on wormhole propagation are analyzed through several numerical experiments, contributing to the acidizing design in fractured reservoirs.

主讲人介绍：

郭会，中国石油大学（华东）教授，本硕博毕业于山东大学，主要从事偏微分方程及油藏数值模拟研究，主持参与国家自然科学基金项目面上项目、国家重点研发计划和国家重点基金项目, 在《SIAM Journal on Scientific Computing》、《Journal of Computational Physics》等期刊发表文章。科研成果获青岛市自然科学成果奖二等奖。