Study on Numerical Methods for Gas Flow Simulation Using Double-Porosity Double-Permeability Model

Yi Wang; Shuyu Sun; Liang Gong

doi:10.1007/978-3-319-93713-7_10

Study on Numerical Methods for Gas Flow Simulation Using Double-Porosity Double-Permeability Model

Yi Wang^*, Shuyu Sun, Liang Gong

^*Corresponding author for this work

Earth Science and Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Abstract

In this paper, we firstly study numerical methods for gas flow simulation in dual-continuum porous media. Typical methods for oil flow simulation in dual-continuum porous media cannot be used straightforward to this kind of simulation due to the artificial mass loss caused by the compressibility and the non-robustness caused by the non-linear source term. To avoid these two problems, corrected numerical methods are proposed using mass balance equations and local linearization of the non-linear source term. The improved numerical methods are successful for the computation of gas flow in the double-porosity double-permeability porous media. After this improvement, temporal advancement for each time step includes three fractional steps: (i) advance matrix pressure and fracture pressure using the typical computation; (ii) solve the mass balance equation system for mean pressures; (iii) correct pressures in (i) by mean pressures in (ii). Numerical results show that mass conservation of gas for the whole domain is guaranteed while the numerical computation is robust.

Original language	English (US)
Title of host publication	Computational Science – ICCS 2018 - 18th International Conference, Proceedings
Editors	Jack Dongarra, Haohuan Fu, Valeria V. Krzhizhanovskaya, Michael Harold Lees, Peter M. Sloot, Yong Shi, Yingjie Tian
Publisher	Springer Verlag
Pages	129-138
Number of pages	10
ISBN (Print)	9783319937120
DOIs	https://doi.org/10.1007/978-3-319-93713-7_10
State	Published - 2018
Event	18th International Conference on Computational Science, ICCS 2018 - Wuxi, China Duration: Jun 11 2018 → Jun 13 2018

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	10862 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	18th International Conference on Computational Science, ICCS 2018
Country/Territory	China
City	Wuxi
Period	06/11/18 → 06/13/18

Bibliographical note

Publisher Copyright:
© 2018, Springer International Publishing AG, part of Springer Nature.

Keywords

Double-porosity double-permeability
Fractured porous media
Gas flow
Mass conservation
Numerical method

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

Access to Document

10.1007/978-3-319-93713-7_10

Cite this

Wang, Y., Sun, S., & Gong, L. (2018). Study on Numerical Methods for Gas Flow Simulation Using Double-Porosity Double-Permeability Model. In J. Dongarra, H. Fu, V. V. Krzhizhanovskaya, M. H. Lees, P. M. Sloot, Y. Shi, & Y. Tian (Eds.), Computational Science – ICCS 2018 - 18th International Conference, Proceedings (pp. 129-138). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10862 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-319-93713-7_10

Wang, Yi ; Sun, Shuyu ; Gong, Liang. / Study on Numerical Methods for Gas Flow Simulation Using Double-Porosity Double-Permeability Model. Computational Science – ICCS 2018 - 18th International Conference, Proceedings. editor / Jack Dongarra ; Haohuan Fu ; Valeria V. Krzhizhanovskaya ; Michael Harold Lees ; Peter M. Sloot ; Yong Shi ; Yingjie Tian. Springer Verlag, 2018. pp. 129-138 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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title = "Study on Numerical Methods for Gas Flow Simulation Using Double-Porosity Double-Permeability Model",

abstract = "In this paper, we firstly study numerical methods for gas flow simulation in dual-continuum porous media. Typical methods for oil flow simulation in dual-continuum porous media cannot be used straightforward to this kind of simulation due to the artificial mass loss caused by the compressibility and the non-robustness caused by the non-linear source term. To avoid these two problems, corrected numerical methods are proposed using mass balance equations and local linearization of the non-linear source term. The improved numerical methods are successful for the computation of gas flow in the double-porosity double-permeability porous media. After this improvement, temporal advancement for each time step includes three fractional steps: (i) advance matrix pressure and fracture pressure using the typical computation; (ii) solve the mass balance equation system for mean pressures; (iii) correct pressures in (i) by mean pressures in (ii). Numerical results show that mass conservation of gas for the whole domain is guaranteed while the numerical computation is robust.",

keywords = "Double-porosity double-permeability, Fractured porous media, Gas flow, Mass conservation, Numerical method",

author = "Yi Wang and Shuyu Sun and Liang Gong",

note = "Publisher Copyright: {\textcopyright} 2018, Springer International Publishing AG, part of Springer Nature.; 18th International Conference on Computational Science, ICCS 2018 ; Conference date: 11-06-2018 Through 13-06-2018",

year = "2018",

doi = "10.1007/978-3-319-93713-7_10",

language = "English (US)",

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pages = "129--138",

editor = "Jack Dongarra and Haohuan Fu and Krzhizhanovskaya, {Valeria V.} and Lees, {Michael Harold} and Sloot, {Peter M.} and Yong Shi and Yingjie Tian",

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address = "Germany",

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Wang, Y, Sun, S & Gong, L 2018, Study on Numerical Methods for Gas Flow Simulation Using Double-Porosity Double-Permeability Model. in J Dongarra, H Fu, VV Krzhizhanovskaya, MH Lees, PM Sloot, Y Shi & Y Tian (eds), Computational Science – ICCS 2018 - 18th International Conference, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 10862 LNCS, Springer Verlag, pp. 129-138, 18th International Conference on Computational Science, ICCS 2018, Wuxi, China, 06/11/18. https://doi.org/10.1007/978-3-319-93713-7_10

Study on Numerical Methods for Gas Flow Simulation Using Double-Porosity Double-Permeability Model. / Wang, Yi; Sun, Shuyu; Gong, Liang.
Computational Science – ICCS 2018 - 18th International Conference, Proceedings. ed. / Jack Dongarra; Haohuan Fu; Valeria V. Krzhizhanovskaya; Michael Harold Lees; Peter M. Sloot; Yong Shi; Yingjie Tian. Springer Verlag, 2018. p. 129-138 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10862 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Study on Numerical Methods for Gas Flow Simulation Using Double-Porosity Double-Permeability Model

AU - Wang, Yi

AU - Sun, Shuyu

AU - Gong, Liang

PY - 2018

Y1 - 2018

N2 - In this paper, we firstly study numerical methods for gas flow simulation in dual-continuum porous media. Typical methods for oil flow simulation in dual-continuum porous media cannot be used straightforward to this kind of simulation due to the artificial mass loss caused by the compressibility and the non-robustness caused by the non-linear source term. To avoid these two problems, corrected numerical methods are proposed using mass balance equations and local linearization of the non-linear source term. The improved numerical methods are successful for the computation of gas flow in the double-porosity double-permeability porous media. After this improvement, temporal advancement for each time step includes three fractional steps: (i) advance matrix pressure and fracture pressure using the typical computation; (ii) solve the mass balance equation system for mean pressures; (iii) correct pressures in (i) by mean pressures in (ii). Numerical results show that mass conservation of gas for the whole domain is guaranteed while the numerical computation is robust.

AB - In this paper, we firstly study numerical methods for gas flow simulation in dual-continuum porous media. Typical methods for oil flow simulation in dual-continuum porous media cannot be used straightforward to this kind of simulation due to the artificial mass loss caused by the compressibility and the non-robustness caused by the non-linear source term. To avoid these two problems, corrected numerical methods are proposed using mass balance equations and local linearization of the non-linear source term. The improved numerical methods are successful for the computation of gas flow in the double-porosity double-permeability porous media. After this improvement, temporal advancement for each time step includes three fractional steps: (i) advance matrix pressure and fracture pressure using the typical computation; (ii) solve the mass balance equation system for mean pressures; (iii) correct pressures in (i) by mean pressures in (ii). Numerical results show that mass conservation of gas for the whole domain is guaranteed while the numerical computation is robust.

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SN - 9783319937120

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

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BT - Computational Science – ICCS 2018 - 18th International Conference, Proceedings

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A2 - Fu, Haohuan

A2 - Krzhizhanovskaya, Valeria V.

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A2 - Sloot, Peter M.

A2 - Shi, Yong

A2 - Tian, Yingjie

PB - Springer Verlag

T2 - 18th International Conference on Computational Science, ICCS 2018

Y2 - 11 June 2018 through 13 June 2018

ER -

Wang Y, Sun S, Gong L. Study on Numerical Methods for Gas Flow Simulation Using Double-Porosity Double-Permeability Model. In Dongarra J, Fu H, Krzhizhanovskaya VV, Lees MH, Sloot PM, Shi Y, Tian Y, editors, Computational Science – ICCS 2018 - 18th International Conference, Proceedings. Springer Verlag. 2018. p. 129-138. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-319-93713-7_10

Study on Numerical Methods for Gas Flow Simulation Using Double-Porosity Double-Permeability Model

Abstract

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Bibliographical note

Keywords

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