Thermodynamically consistent Darcy–Brinkman–Forchheimer framework in matrix acidization

License
https://creativecommons.org/licenses/by/4.0

Type
Article

Authors
Wu, Yuanqing
Kou, Jisheng
Sun, Shuyu
Wu, Yu-Shu

KAUST Department
Earth Science and Engineering Program
Physical Science and Engineering (PSE) Division

Preprint Posting Date
2020-07-23

Online Publication Date
2021-01-29

Print Publication Date
2021

Date
2021-01-29

Submitted Date
2020-05-29

Abstract
Matrix acidization is an important technique used to enhance oil production at the tertiary recovery stage, but its numerical simulation has never been verified. From one of the earliest models, i.e., the two-scale model (Darcy framework), the Darcy–Brinkman–Forchheimer (DBF) framework is developed by adding the Brinkman term and Forchheimer term to the momentum conservation equation. However, in the momentum conservation equation of the DBF framework, porosity is placed outside of the time derivation term, which prevents a good description of the change in porosity. Thus, this work changes the expression so that the modified momentum conservation equation can satisfy Newton’s second law. This modified framework is called the improved DBF framework. Furthermore, based on the improved DBF framework, a thermal DBF framework is given by introducing an energy balance equation to the improved DBF framework. Both of these frameworks are verified by former works through numerical experiments and chemical experiments in labs. Parallelization to the complicated framework codes is also realized, and good scalability can be achieved.

Citation
Wu, Y., Kou, J., Sun, S., & Wu, Y.-S. (2021). Thermodynamically consistent Darcy–Brinkman–Forchheimer framework in matrix acidization. Oil & Gas Science and Technology – Revue d’IFP Energies Nouvelles, 76, 8. doi:10.2516/ogst/2020091

Acknowledgements
This work is supported by the Peacock Plan Foundation of Shenzhen (No. 000255), the National Natural Science Foundation of China (No. 11601345) and the Natural Science Foundation of SZU (No. 2017059).

Publisher
EDP Sciences

Journal
Oil & Gas Science and Technology – Revue d’IFP Energies nouvelles

DOI
10.2516/ogst/2020091

arXiv
2007.13541

Additional Links
https://ogst.ifpenergiesnouvelles.fr/10.2516/ogst/2020091

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