Development of a Reservoir Simulator to Model Single-Phase Flow in Porous Media

Babilas Hountondji; François de Paule Codo; Paul Maurille Lanmandjèkpogni

doi:doi:10.11648/j.earth.20221103.15

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Development of a Reservoir Simulator to Model Single-Phase Flow in Porous Media

Babilas Hountondji, François de Paule Codo, Paul Maurille Lanmandjèkpogni

Published in Earth Sciences (Volume 11, Issue 3)

Received: 7 April 2022 Accepted: 28 April 2022 Published: 8 June 2022

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Abstract

Any groundwater reservoir requires tools to predict future performance as well as to optimize its operation. It is then necessary to simulate groundwater flow in porous media because of the uncertainty and heterogeneity associated with reservoirs. This study developed a reservoir simulator for modeling a single-phase flow in a porous medium. The development of the simulator consists of the physical and mathematical modeling of the reservoir. A MATLAB code was developed to describe groundwater flow in order to appreciate reservoir hydrodynamic pressure distributions from hydraulic head as a function of radial distance while varying the production flow. The formulation equation obtained was solved by the direct method. Examples of graphical plots generated from the simulator illustrate that before the coordinate point P (r=33.74m; h=286.65m) for any value of production flow, hydraulic head or hydrodynamic pressure of the reservoir increases equally with radial distance. This reflects the same drop in the static pressure of the reservoir. Beyond point P, there is a further increase in the hydraulic head, i.e., the hydrodynamic pressure of the reservoir as the production flow increases with the increase in population. This results in a drop in the static pressure of the reservoir in proportion to the increase in the production flow. The variations of the production flow carried out show that the static pressure of the reservoir decreases when the production flow increases. Finally, the simulator to predict the hydraulic head distributions i.e., the hydrodynamic pressure of the reservoir in single-phase flow during production periods is a springboard towards the implementation of multi-phase fluid flow formulations.

Published in	Earth Sciences (Volume 11, Issue 3)
DOI	10.11648/j.earth.20221103.15
Page(s)	89-95
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Simulation, Groundwater, Porous Reservoir, Monzoungodo

References

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[2]	E. FETEL, «Quantification des incertitudes liées aux simulations d’´écoulement dans un réservoir pétrolier à l’aide de surfaces de réponse non linéaires». Thèse de doctorat, Institut National Polytechnique de Lorraine, 2007.
[3]	S. BIR, “Ecoulement au travers les milieux poreux: Approche stochastique”, Mémoire de Magistère. Université Mouloud MAMMERI, Tizi-Ouzou. 2012.
[4]	Zhangxin Chen, Mathematical Techniques in Oil Recovery, SIAM, 2007.
[5]	T. Ahmed (2006), Reservoir Engineering Handbook, Society of Petroleum Engineers, Richardson, TX.
[6]	Z. Chen, J. Adams, D. Carruthers, H. Chen, I. Gates, G. Huan, S. Larter, W. Li, and G. Zhou (2007b), Coupled reservoir simulation and basin models: Reservoir charging and fluid mixing, to appear.
[7]	I. Gates (2007), Basic Reservoir Engineering, in progress.
[8]	Abdelhakim Benali, Abdelmoumen Bacetti, Abdelkader Belkherroubi, Hocine Harhad, Souad Fasla-Louhibi. Fluid flow simulation through a naturally fractured reservoir with Matlab & Eclipse software. «Nature & Technology». A- Fundamental and Engineering Sciences, n° 16/ January 2017, pp. 19-27.
[9]	Waghmare R. V. Mathematical modeling of flow in confined aquifer. International Journal of Novel Research in Physics Chemistry & Mathematics Vol. 3, Issue 2, pp: (1-16), Month: May - August 2016, Available at: www.noveltyjournals.com
[10]	Aphu Elvis Selase, Brantson Eric Thompson, Addo Bright Junior, Akunda Doreen. Development of Finite Difference Explicit and Implicit Numerical Reservoir Simulator for Modelling Single Phase Flow in Porous Media. Earth Sciences. Vol. 7, No. 6, 2018, pp. 242-259. doi: 10.11648/j.earth.20180706.11.
[11]	Darcy, H., 1854. Experimental Researches on the Flow of water in pipes, Comptes rendus, vol. 38, n° 11 t1, pp. 1109-1121.
[12]	HOUNTONDJI, B. Hydrodynamique du Système Réservoir-Puits de production de Monzoungoudo pour son approvisionnement en eau [Hydrodynamics of the Monzoungoudo Reservoir-Production Well System for its water supply]. Benin, 2019. Dissertation. l’Université d’Abomey-Calavi, Benin.
[13]	DGEau. Carte hydrogéologique du bassin sédimentaire côtier du Bénin (Hydrogeological map of the coastal sedimentary basin of Benin). Deutsche Gesellschaft fur Internationale Zusammenarbeit (GIZ) Gmbh, 2012.
[14]	Brian R. Hunt, Ronald L. Lipsman and Jonathan M. Rosenberg, A Guide to MATLAB®: for Beginners and Experienced Users: Third Edition, 2014.
[15]	Ferreira, A. J. M. (2009). MATLAB Codes for Finite Element Analysis. Springer. ISBN 978-1-4020-9199-5.

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APA Style

Babilas Hountondji, François de Paule Codo, Paul Maurille Lanmandjèkpogni. (2022). Development of a Reservoir Simulator to Model Single-Phase Flow in Porous Media. Earth Sciences, 11(3), 89-95. https://doi.org/10.11648/j.earth.20221103.15

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ACS Style

Babilas Hountondji; François de Paule Codo; Paul Maurille Lanmandjèkpogni. Development of a Reservoir Simulator to Model Single-Phase Flow in Porous Media. Earth Sci. 2022, 11(3), 89-95. doi: 10.11648/j.earth.20221103.15

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AMA Style

Babilas Hountondji, François de Paule Codo, Paul Maurille Lanmandjèkpogni. Development of a Reservoir Simulator to Model Single-Phase Flow in Porous Media. Earth Sci. 2022;11(3):89-95. doi: 10.11648/j.earth.20221103.15

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@article{10.11648/j.earth.20221103.15,
  author = {Babilas Hountondji and François de Paule Codo and Paul Maurille Lanmandjèkpogni},
  title = {Development of a Reservoir Simulator to Model Single-Phase Flow in Porous Media},
  journal = {Earth Sciences},
  volume = {11},
  number = {3},
  pages = {89-95},
  doi = {10.11648/j.earth.20221103.15},
  url = {https://doi.org/10.11648/j.earth.20221103.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.earth.20221103.15},
  abstract = {Any groundwater reservoir requires tools to predict future performance as well as to optimize its operation. It is then necessary to simulate groundwater flow in porous media because of the uncertainty and heterogeneity associated with reservoirs. This study developed a reservoir simulator for modeling a single-phase flow in a porous medium. The development of the simulator consists of the physical and mathematical modeling of the reservoir. A MATLAB code was developed to describe groundwater flow in order to appreciate reservoir hydrodynamic pressure distributions from hydraulic head as a function of radial distance while varying the production flow. The formulation equation obtained was solved by the direct method. Examples of graphical plots generated from the simulator illustrate that before the coordinate point P (r=33.74m; h=286.65m) for any value of production flow, hydraulic head or hydrodynamic pressure of the reservoir increases equally with radial distance. This reflects the same drop in the static pressure of the reservoir. Beyond point P, there is a further increase in the hydraulic head, i.e., the hydrodynamic pressure of the reservoir as the production flow increases with the increase in population. This results in a drop in the static pressure of the reservoir in proportion to the increase in the production flow. The variations of the production flow carried out show that the static pressure of the reservoir decreases when the production flow increases. Finally, the simulator to predict the hydraulic head distributions i.e., the hydrodynamic pressure of the reservoir in single-phase flow during production periods is a springboard towards the implementation of multi-phase fluid flow formulations.},
 year = {2022}
}

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TY  - JOUR
T1  - Development of a Reservoir Simulator to Model Single-Phase Flow in Porous Media
AU  - Babilas Hountondji
AU  - François de Paule Codo
AU  - Paul Maurille Lanmandjèkpogni
Y1  - 2022/06/08
PY  - 2022
N1  - https://doi.org/10.11648/j.earth.20221103.15
DO  - 10.11648/j.earth.20221103.15
T2  - Earth Sciences
JF  - Earth Sciences
JO  - Earth Sciences
SP  - 89
EP  - 95
PB  - Science Publishing Group
SN  - 2328-5982
UR  - https://doi.org/10.11648/j.earth.20221103.15
AB  - Any groundwater reservoir requires tools to predict future performance as well as to optimize its operation. It is then necessary to simulate groundwater flow in porous media because of the uncertainty and heterogeneity associated with reservoirs. This study developed a reservoir simulator for modeling a single-phase flow in a porous medium. The development of the simulator consists of the physical and mathematical modeling of the reservoir. A MATLAB code was developed to describe groundwater flow in order to appreciate reservoir hydrodynamic pressure distributions from hydraulic head as a function of radial distance while varying the production flow. The formulation equation obtained was solved by the direct method. Examples of graphical plots generated from the simulator illustrate that before the coordinate point P (r=33.74m; h=286.65m) for any value of production flow, hydraulic head or hydrodynamic pressure of the reservoir increases equally with radial distance. This reflects the same drop in the static pressure of the reservoir. Beyond point P, there is a further increase in the hydraulic head, i.e., the hydrodynamic pressure of the reservoir as the production flow increases with the increase in population. This results in a drop in the static pressure of the reservoir in proportion to the increase in the production flow. The variations of the production flow carried out show that the static pressure of the reservoir decreases when the production flow increases. Finally, the simulator to predict the hydraulic head distributions i.e., the hydrodynamic pressure of the reservoir in single-phase flow during production periods is a springboard towards the implementation of multi-phase fluid flow formulations.
VL  - 11
IS  - 3
ER  -

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Author Information

Babilas Hountondji

Water and Sanitation Engineering Department, National Water Institute, Abomey-Calavi, Benin
François de Paule Codo
Paul Maurille Lanmandjèkpogni

Water and Sanitation Engineering Department, National Water Institute, Abomey-Calavi, Benin

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APA Style

Babilas Hountondji, François de Paule Codo, Paul Maurille Lanmandjèkpogni. (2022). Development of a Reservoir Simulator to Model Single-Phase Flow in Porous Media. Earth Sciences, 11(3), 89-95. https://doi.org/10.11648/j.earth.20221103.15

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ACS Style

Babilas Hountondji; François de Paule Codo; Paul Maurille Lanmandjèkpogni. Development of a Reservoir Simulator to Model Single-Phase Flow in Porous Media. Earth Sci. 2022, 11(3), 89-95. doi: 10.11648/j.earth.20221103.15

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AMA Style

Babilas Hountondji, François de Paule Codo, Paul Maurille Lanmandjèkpogni. Development of a Reservoir Simulator to Model Single-Phase Flow in Porous Media. Earth Sci. 2022;11(3):89-95. doi: 10.11648/j.earth.20221103.15

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@article{10.11648/j.earth.20221103.15,
  author = {Babilas Hountondji and François de Paule Codo and Paul Maurille Lanmandjèkpogni},
  title = {Development of a Reservoir Simulator to Model Single-Phase Flow in Porous Media},
  journal = {Earth Sciences},
  volume = {11},
  number = {3},
  pages = {89-95},
  doi = {10.11648/j.earth.20221103.15},
  url = {https://doi.org/10.11648/j.earth.20221103.15},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.earth.20221103.15},
  abstract = {Any groundwater reservoir requires tools to predict future performance as well as to optimize its operation. It is then necessary to simulate groundwater flow in porous media because of the uncertainty and heterogeneity associated with reservoirs. This study developed a reservoir simulator for modeling a single-phase flow in a porous medium. The development of the simulator consists of the physical and mathematical modeling of the reservoir. A MATLAB code was developed to describe groundwater flow in order to appreciate reservoir hydrodynamic pressure distributions from hydraulic head as a function of radial distance while varying the production flow. The formulation equation obtained was solved by the direct method. Examples of graphical plots generated from the simulator illustrate that before the coordinate point P (r=33.74m; h=286.65m) for any value of production flow, hydraulic head or hydrodynamic pressure of the reservoir increases equally with radial distance. This reflects the same drop in the static pressure of the reservoir. Beyond point P, there is a further increase in the hydraulic head, i.e., the hydrodynamic pressure of the reservoir as the production flow increases with the increase in population. This results in a drop in the static pressure of the reservoir in proportion to the increase in the production flow. The variations of the production flow carried out show that the static pressure of the reservoir decreases when the production flow increases. Finally, the simulator to predict the hydraulic head distributions i.e., the hydrodynamic pressure of the reservoir in single-phase flow during production periods is a springboard towards the implementation of multi-phase fluid flow formulations.},
 year = {2022}
}

Copy | Download

TY  - JOUR
T1  - Development of a Reservoir Simulator to Model Single-Phase Flow in Porous Media
AU  - Babilas Hountondji
AU  - François de Paule Codo
AU  - Paul Maurille Lanmandjèkpogni
Y1  - 2022/06/08
PY  - 2022
N1  - https://doi.org/10.11648/j.earth.20221103.15
DO  - 10.11648/j.earth.20221103.15
T2  - Earth Sciences
JF  - Earth Sciences
JO  - Earth Sciences
SP  - 89
EP  - 95
PB  - Science Publishing Group
SN  - 2328-5982
UR  - https://doi.org/10.11648/j.earth.20221103.15
AB  - Any groundwater reservoir requires tools to predict future performance as well as to optimize its operation. It is then necessary to simulate groundwater flow in porous media because of the uncertainty and heterogeneity associated with reservoirs. This study developed a reservoir simulator for modeling a single-phase flow in a porous medium. The development of the simulator consists of the physical and mathematical modeling of the reservoir. A MATLAB code was developed to describe groundwater flow in order to appreciate reservoir hydrodynamic pressure distributions from hydraulic head as a function of radial distance while varying the production flow. The formulation equation obtained was solved by the direct method. Examples of graphical plots generated from the simulator illustrate that before the coordinate point P (r=33.74m; h=286.65m) for any value of production flow, hydraulic head or hydrodynamic pressure of the reservoir increases equally with radial distance. This reflects the same drop in the static pressure of the reservoir. Beyond point P, there is a further increase in the hydraulic head, i.e., the hydrodynamic pressure of the reservoir as the production flow increases with the increase in population. This results in a drop in the static pressure of the reservoir in proportion to the increase in the production flow. The variations of the production flow carried out show that the static pressure of the reservoir decreases when the production flow increases. Finally, the simulator to predict the hydraulic head distributions i.e., the hydrodynamic pressure of the reservoir in single-phase flow during production periods is a springboard towards the implementation of multi-phase fluid flow formulations.
VL  - 11
IS  - 3
ER  -

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