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| Title: | Some Applications of the Fundamental Solution Method for Modelling Fluif Flow in Porous Media |
| Authors: | Guevara-Jordan, J. M. Da Silva-Rodrígues, C. Quintero-Pérez, L. |
| Keywords: | fundamental solutions, singular value descomposition, imaginary wells, tracer, pressure,streamline, geological barriers. |
| Issue Date: | 10-Apr-2013 |
| Series/Report no.: | Proceeding VII Colombian Congress in Numerical Modelling 2009; |
| Abstract: | The fundamental solution method is a meshless approach for the numerical solution of partial differential equations. Its implementation combines free Green functions, a generalization of image’s method, the singular value decomposition, and a boundary collocations method to produce a very simple algorithm for the simulation of some problems in science and engineering. A review of its adaptation to the solution of three classical problems for fluid flow in porous media is presented. These problems are: the tracer flow in a reservoir, the transient pressure distribution in an aquifer, and the computation of pressure and streamlines in a reservoir with thin geological barriers. The analysis of the results shows that the fundamental solution method is a new numerical alternative for the simulation of simple reservoirs or groundwater flow problems. |
| URI: | http://hdl.handle.net/10872/3120 |
| ISBN: | 978-958-695-451-8 |
| Appears in Collections: | Artículos Publicados |
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