PETROENG 7066 - Advanced Topics in Numerical Reservoir Simulation

North Terrace Campus - Semester 2 - 2022

This course outlines the PDEs of multiphase flow in porous media, derived with 1- black-oil phase-behaviour and 2- compositional phase-behaviour approach. It reviews the thermodynamic of fluid mixtures and flash calculations using Equation of State. A commonly-used numerical method (finite volume method), for solving the governing PDEs, with a fully-implicit scheme, is presented, and space discretisation using quadrilateral grids, nonorthogonal (corner-points) and orthogonal (block-centred), is discussed. A particular attention is paid to well modelling and model initialisation. Newton-Raphson method for solving the discretised equations is presented, and an overview of iterative linear solvers (stationary methods and Krylov methods) for sparse matrices is given, together with a discussion on solver tuning techniques and automatic differentiation. This is an interactive course with several computer-based examples and exercises interspersed within the lectures. The course, in addition to the fundamentals, covers several practical and special topics in reservoir simulation, including, placement of deviated and multilateral wells, group controls for constraint handling, local grid refinement and coarsening, miscible flooding, gas condensate, regionalisation (PVT, equilibrium and SCAL), dual porosity model for fractured rocks, hysteresis, aquifer models and API tracking.

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