Positive-preserving scheme of two-phase flow model in porous media

Xiaoran Li; Xinyu Zhang; Yongqiang Ren

doi:10.1117/12.3035275

21 July 2024 Positive-preserving scheme of two-phase flow model in porous media

Xiaoran Li, Xinyu Zhang, Yongqiang Ren

Proceedings Volume 13219, Fourth International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2024); 132191R (2024) https://doi.org/10.1117/12.3035275
Event: 4th International Conference on Applied Mathematics, Modelling and Intelligent Computing (CAMMIC 2024), 2024, Kaifeng, China

Abstract

We construct a positive-preserving nonlinear scheme to solve the the pressure equation of two phase flow model with tensor permeability in porous media on general quadrilateral grid, and a traditional upwind finite volume method to solve the saturation equation. We prove the pressure is positive if only injection well present with 0 value boundary condition. Numerical experiments show that the the numerical pressure and the saturation are positive and without nonphysical oscillation with tensor permeability on general quadrilateral grid.

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Xiaoran Li, Xinyu Zhang, and Yongqiang Ren "Positive-preserving scheme of two-phase flow model in porous media", Proc. SPIE 13219, Fourth International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2024), 132191R (21 July 2024); https://doi.org/10.1117/12.3035275

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available