A numerical study of two-phase flow with dynamic capillary pressure using an adaptive moving mesh method
Abstract
Motivated by observations of saturation overshoot, this paper investigates numerical modeling of two-phase flow incorporating dynamic capillary pressure. The effects of the dynamic capillary coefficient, the infiltrating flux rate and the initial and boundary values are systematically studied using a travelling wave ansatz and efficient numerical methods. The travelling wave solutions may exhibit monotonic, non-monotonic or plateau-shaped behaviour. Special attention is paid to the non-monotonic profiles. The travelling wave results are confirmed by numerically solving the partial differential equation using an accurate adaptive moving mesh solver. Comparisons between the computed solutions using the Brooks-Corey model and the laboratory measurements of saturation overshoot verify the effectiveness of our approach.
Keywords
Cite
@article{arxiv.1604.04863,
title = {A numerical study of two-phase flow with dynamic capillary pressure using an adaptive moving mesh method},
author = {Hong Zhang and Paul Andries Zegeling},
journal= {arXiv preprint arXiv:1604.04863},
year = {2017}
}