Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
Solução Numérica de Sistema Unidimensional Oleoduto-Riser em Catenária
Submission Author:
Leonardo Alegretti Belaroza , SC
Co-Authors:
Leonardo Alegretti Belaroza, karl peter burr
Presenter: Leonardo Alegretti Belaroza
doi://10.26678/ABCM.COBEM2023.COB2023-1217
Abstract
A numerical solver is designed and implemented to solve a simplified set of equations modeling 1D multiphase flow in a pipeline-riser system with the inertia terms included and with the flow in the pipeline to be modeled in the same way as the flow in the riser, and this in the form of a catenary for the oil and gas drilling industry. The governing equations are formulated with drift flux approach and the numerical solver is designed to solve the system of equations. The drift flux equations are the gas and liquid mass conservation equation and the equation for the linear momentum of the liquid-gas mixture in addition to the slip model closure law. The closure law is a function of the multiphase flow pattern. We basically consider two flow patterns, stratified and non-stratified. By non-stratified is meant the slug pattern, for example, present in the riser. It is well known that the 1D multiphase flow models may not have a clear hyperbolic nature as it is difficult to obtain a neat analytical expression for Jacobian matrix which limits us to formulate a Roe type Riemann solver (Quasi-Linear). To solve this issue, we use a slightly different approach. We solve the system of equations using Lax Wendroff method. This approach to solvethe Riemann problem gives us second order accuracy. The code is validated and the cases of physical tests of flow through the pipeline - rise system are presented. The proposed model is able to capture the instabilities which are well know to happen in two-phase flows in pipeline-riser system.
Keywords
Sistema oleoduto-riser, escoamento multifásico, Oil&Gas, simulação numérica, Computational fluid dynamics (CFD)
