Non-isothermal, compressible gas flow for the simulation of an enhanced gas recovery application

N. Böttcher*, Ashok Singh, O. Kolditz, R. Liedl

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Resumé

In this work, we present a framework for numerical modeling of CO 2 injection into porous media for enhanced gas recovery (EGR) from depleted reservoirs. Physically, we have to deal with non-isothermal, compressible gas flows resulting in a system of coupled non-linear PDEs. We describe the mathematical framework for the underlying balance equations as well as the equations of state for mixing gases. We use an object-oriented finite element method implemented in C++. The numerical model has been tested against an analytical solution for a simplified problem and then applied to CO 2 injection into a real reservoir. Numerical modeling allows to investigate physical phenomena and to predict reservoir pressures as well as temperatures depending on injection scenarios and is therefore a useful tool for applied numerical analysis.

Originalsprog Engelsk Journal of Computational and Applied Mathematics 236 18 4933-4943 0377-0427 https://doi.org/10.1016/j.cam.2011.11.013 Udgivet - 2012 Ja

Fingeraftryk

Compressible Flow
Gas Flow
Flow of gases
Injection
Recovery
Numerical Modeling
Gases
Equations of state
Porous materials
Numerical analysis
Numerical models
Simulation
Nonlinear PDE
Balance Equations
C++
Finite element method
Equation of State
Object-oriented
Porous Media
Numerical Analysis

Citer dette

Böttcher, N. ; Singh, Ashok ; Kolditz, O. ; Liedl, R. / Non-isothermal, compressible gas flow for the simulation of an enhanced gas recovery application. I: Journal of Computational and Applied Mathematics. 2012 ; Bind 236, Nr. 18. s. 4933-4943.
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abstract = "In this work, we present a framework for numerical modeling of CO 2 injection into porous media for enhanced gas recovery (EGR) from depleted reservoirs. Physically, we have to deal with non-isothermal, compressible gas flows resulting in a system of coupled non-linear PDEs. We describe the mathematical framework for the underlying balance equations as well as the equations of state for mixing gases. We use an object-oriented finite element method implemented in C++. The numerical model has been tested against an analytical solution for a simplified problem and then applied to CO 2 injection into a real reservoir. Numerical modeling allows to investigate physical phenomena and to predict reservoir pressures as well as temperatures depending on injection scenarios and is therefore a useful tool for applied numerical analysis.",
keywords = "Carbon dioxide sequestration, Enhanced gas recovery, Equation of state, Finite element method, Numerical simulation, Real gas behavior",
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Non-isothermal, compressible gas flow for the simulation of an enhanced gas recovery application. / Böttcher, N.; Singh, Ashok; Kolditz, O.; Liedl, R.

I: Journal of Computational and Applied Mathematics, Bind 236, Nr. 18, 2012, s. 4933-4943.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - Non-isothermal, compressible gas flow for the simulation of an enhanced gas recovery application

AU - Böttcher, N.

AU - Singh, Ashok

AU - Kolditz, O.

AU - Liedl, R.

PY - 2012

Y1 - 2012

N2 - In this work, we present a framework for numerical modeling of CO 2 injection into porous media for enhanced gas recovery (EGR) from depleted reservoirs. Physically, we have to deal with non-isothermal, compressible gas flows resulting in a system of coupled non-linear PDEs. We describe the mathematical framework for the underlying balance equations as well as the equations of state for mixing gases. We use an object-oriented finite element method implemented in C++. The numerical model has been tested against an analytical solution for a simplified problem and then applied to CO 2 injection into a real reservoir. Numerical modeling allows to investigate physical phenomena and to predict reservoir pressures as well as temperatures depending on injection scenarios and is therefore a useful tool for applied numerical analysis.

AB - In this work, we present a framework for numerical modeling of CO 2 injection into porous media for enhanced gas recovery (EGR) from depleted reservoirs. Physically, we have to deal with non-isothermal, compressible gas flows resulting in a system of coupled non-linear PDEs. We describe the mathematical framework for the underlying balance equations as well as the equations of state for mixing gases. We use an object-oriented finite element method implemented in C++. The numerical model has been tested against an analytical solution for a simplified problem and then applied to CO 2 injection into a real reservoir. Numerical modeling allows to investigate physical phenomena and to predict reservoir pressures as well as temperatures depending on injection scenarios and is therefore a useful tool for applied numerical analysis.

KW - Carbon dioxide sequestration

KW - Enhanced gas recovery

KW - Equation of state

KW - Finite element method

KW - Numerical simulation

KW - Real gas behavior

U2 - 10.1016/j.cam.2011.11.013

DO - 10.1016/j.cam.2011.11.013

M3 - Journal article

VL - 236

SP - 4933

EP - 4943

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

SN - 0377-0427

IS - 18

ER -