Operator Splitting for Two-phase Flow in Porous Media
Maryam Khajeh Alijani · ERA: Education and Research Archive (University of Alberta) · 2017
This thesis studies operator splitting for flow equation coupled to a transport equation arising from two-phase (water-oil) model in reservoir simulation. We apply two different types of operator splittings and compare their accuracies. Summarized scheme and alternating triangle method (ATM) in iterative fashion are used in the time discretization. Both schemes are unconditionally stable but the latter is only conditionally consistent. We propose two types of ATM scheme, modified ATM iterative scheme and preconditioned iterative ATM. In the former, we modify the method by adding a correction term to improve the convergence of the modified ATM iterative scheme and the numerical results show that the order of convergence is increased by one. The methods are validated by reporting experimental results for a benchmark data model. Numerical results indicate better accuracy and more reliable solution using summarized scheme compared to ATM schemes.