基于PEBI网格的油藏数值模拟研究的中期报告.docx

基于PEBI网格的油藏数值模拟研究的中期报告 摘要： 本文针对油气多相流数值模拟中常用的PEBI网格进行了研究。首先介绍了PEBI网格的构建方法，然后通过严格数学推导，证明了该网格对流方程的离散化具有二阶精度。接着介绍了针对PEBI网格的强边界处理方法和压力修正方法，使得该网格可以被应用于更加复杂的油藏模拟中。最后，通过在不同油藏条件下进行数值模拟，进一步验证了PEBI网格的数值稳定性和模拟精度。 关键词：PEBI网格，油藏数值模拟，多相流，离散化，数值稳定性 Abstract: This study focuses on the research of the PEBI grid commonly used in the numerical simulation of oil and gas multiphase flow. Firstly, the construction method of PEBI grid was introduced. Then, through rigorous mathematical derivation, it was proved that the discretization of the convective equation on the grid has the second-order accuracy. Subsequently, a strong boundary treatment method and pressure correction method for the PEBI grid were introduced, which enables the grid to be applied to more complex reservoir simulations. Finally, numerical simulations under different reservoir conditions were carried out to further verify the numerical stability and simulation accuracy of the PEBI grid. Keywords: PEBI grid, reservoir numerical simulation, multiphase flow, discretization, numerical stability