<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>Compared with the variables separation method and integral-transform method, Green’s function method is much more applicable and thus of great practical significance. Based on the general steps of Green’s function method, a new method is originally raised to get Green’s function in oil and gas flow problems through underground formations. After that, the transient pressure solution is get for flow in a spherical reservoir by using this method. This case enlarged the application of Greenʼs method function, and this work can also be a good foundation for the solution of more and more complicated flow problems in oil and gas reservoirs.</p>
</abstract>

Compared with the variables separation method and integral-transform method, Green’s function method is much more applicable and thus of great practical significance. Based on the general steps of Green’s function method, a new method is originally raised to get Green’s function in oil and gas flow problems through underground formations. After that, the transient pressure solution is get for flow in a spherical reservoir by using this method. This case enlarged the application of Greenʼs method function, and this work can also be a good foundation for the solution of more and more complicated flow problems in oil and gas reservoirs.

New Green’s Function Method for Solving Underground Oil Seepage Problems

University of Shanghai for Science and Technology

State Key Laboratory of Enhanced Oil Recovery

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"New Green\u2019s Function Method for Solving Underground Oil Seepage Problems"}

Compared with the variables separation method and integral-transform method, Green’s function method is much more applicable and thus of great practical...

New Green’s Function Method for Solving Underground Oil Seepage Problems

Publié en ligne: 15 juin 2023

Pages: 2241 - 2250

Reçu: 07 juil. 2022

Accepté: 19 déc. 2022

DOI: https://doi.org/10.2478/amns.2023.1.00408

Mots clés
Point source function, transient flow, Dirac function, Green’s function, spherical flow

© 2023 Linkai Li et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

New Green’s Function Method for Solving Underground Oil Seepage Problems

Publié en ligne: 15 juin 2023

Pages: 2241 - 2250

Reçu: 07 juil. 2022

Accepté: 19 déc. 2022

DOI: https://doi.org/10.2478/amns.2023.1.00408

Mots clésPoint source function, transient flow, Dirac function, Green’s function, spherical flow

© 2023 Linkai Li et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Mots clés
Point source function, transient flow, Dirac function, Green’s function, spherical flow