Eventos Anais de eventos
COBEM 2023
27th International Congress of Mechanical Engineering
Finite integral transform analysis with homogenized time-dependent boundary conditions of 2-D cylindrical multi-layer composites solution for transient heat conduction applied to plug and abandonment of oil wells
Submission Author:
Gabriel Saavedra , SP
Co-Authors:
Gabriel Saavedra, Marcelo De Lemos
Presenter: Gabriel Saavedra
doi://10.26678/ABCM.COBEM2023.COB2023-1491
Abstract
An analytical method for transient heat conduction problem is applied to Plug and Abandonment (P&A) operations of oil wells. An oil well is approximated to a concentric composite cylinder geometry, characterizing the governing equations to be cast in radial-azimuthal polar coordinates. Plug and Abandonment operations are performed when the oil well provides no attractive return of capital, being a practice where the expenditure must be mitigated. This scenario opened opportunities to develop a new technology devoted to plug oil wells called Thermal Plug and Abandonment (TP&A), which substitutes the use of cement in usual practices with the use of an energetic mixture able to melt the oil well structures, sealing the whole cross-section with the solidification of the melted components. This proposal is able to diminish the number of required maneuvers in view of the usual P&A practices, reducing the daily rig rental cost and saving a great of capital expenditure by doing so. The application of the Finite Integral Transform (FIT) technique is a mathematical framework able to solve efficiently the transient heat conduction when prescribed time-dependent boundary conditions. However, the FIT approach is able to solve only boundary conditions of Neumann type. Performing the homogenization of the prescribed boundary conditions allows the application of FIT to any type of boundary condition, which generalizes the analytical approach applied to the TP&A procedure, where the problem setup requires the prescription of boundary condition of Dirichlet type. Plus, as the energic mixture is a time-dependent volumetric heat source set in the inner most layer of the composite domain, the analytical method available in this work has relevant advantages in comparison with other well-known analytical approaches. For verification purposes, a commercial software that solves the transient temperature field by means of Finite Volume Method (FVM) is employed in this work. Lastly, the obtained results throughout the composite cylindrical domain achieves relevant content, subsidizing the new proposed technology by meeting regulatory normative requirements established to P&A operations.
Keywords
Analytical Solution, Plug & abandonment, Transient Heat Conduction, composite cylinder, Thermal Plug, Integral Transforms, homogenization techniques
