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A STAGGERED FINITE-ELEMENT SOLUTION FOR WATER AND GAS FLOW IN DEFORMING POROUS MEDIA.

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Title: A STAGGERED FINITE-ELEMENT SOLUTION FOR WATER AND GAS FLOW IN DEFORMING POROUS MEDIA.
Authors: Simoni, L.1, Schrehler, B. A.1
Source: Communications in Applied Numerical Methods. Apr1991, Vol. 7 Issue 3, p213-223. 11p.
Subjects: Numerical analysis, Mathematical analysis, Finite element method, Differential equations, Mathematical models, Gas flow, Gas dynamics
Abstract: A numerical model for the mechanics of partially saturated porous media is presented where the flow of both fluid phases is taken into account. The attention is focused on the choice of the field variables so that the model may easily be extended to deal with the important case when the gaseous phase is at constant reference pressure and with the limiting case of a fully saturated situation. To solve the semi-discretized governing differential equation system in the time domain a staggered procedure is presented, which also allows for a straightforward solution of the two aforementioned cases. The stability and convergence analyses of the proposed solution scheme are presented for a 3 degree-of-freedom model system. In this way it is possible to assess the behavior of the proposed solution scheme. [ABSTRACT FROM AUTHOR]
Copyright of Communications in Applied Numerical Methods is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: A numerical model for the mechanics of partially saturated porous media is presented where the flow of both fluid phases is taken into account. The attention is focused on the choice of the field variables so that the model may easily be extended to deal with the important case when the gaseous phase is at constant reference pressure and with the limiting case of a fully saturated situation. To solve the semi-discretized governing differential equation system in the time domain a staggered procedure is presented, which also allows for a straightforward solution of the two aforementioned cases. The stability and convergence analyses of the proposed solution scheme are presented for a 3 degree-of-freedom model system. In this way it is possible to assess the behavior of the proposed solution scheme. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Communications in Applied Numerical Methods is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1002/cnm.1630070306
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      – SubjectFull: Finite element method
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      – SubjectFull: Differential equations
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      – SubjectFull: Mathematical models
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      – SubjectFull: Gas flow
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      – TitleFull: A STAGGERED FINITE-ELEMENT SOLUTION FOR WATER AND GAS FLOW IN DEFORMING POROUS MEDIA.
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              Text: Apr1991
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              Y: 1991
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