A novel and efficient sequential-explicit technique for poroelasticity problems

Abstract

This paper presents a novel sequential-explicit coupling technique to solve hydromechanical problems in poroelastic media. The proposed approach combines appropriate coupling terms defined in a rate form and an automatic time-stepping scheme that controls the temporal discretization error through a single parameter. Such technique has been implemented in a framework that manages sequential simulations, exchanges of information between models and adapts the time marching in a multirate approach. We present several numerical tests in which we evaluate the new scheme’s stability, accuracy, and performance through comparisons with the fully implicit solution. We observe that the proposed technique is stable, robust and accurate, and can be used in engineering applications for large scale and long time durations.