Revista Integración, temas de matemáticas.
Vol. 30 No. 2 (2012): Revista Integración, temas de matemáticas
Research and Innovation Articles

Analytical solution of the direct problem of electrical capacitance tomography for two-phase fluid with a circular inclusion

Silvia Reyes
Universidad Tecnológica de la Mixteca, Instituto de Física y Matemáticas, C. P. 69000, Huajuapan de León, Oaxaca, México.
Andres Fraguela
Benemérita Universidad Autónoma de Puebla, Facultad de Ciencias Físico- Matemáticas, C. P. 72570, Puebla, México.
Victor A. Cruz
Universidad Tecnológica de la Mixteca, Instituto de Física y Matemáticas, C. P. 69000, Huajuapan de León, Oaxaca, México.
Emmanuel A. Romano
Benemérita Universidad Autónoma de Puebla, Facultad de Ciencias Físico- Matemáticas, C. P. 72570, Puebla, México.

Published 2012-11-28

Keywords

  • Direct problem,
  • inverse problem,
  • electrical capacitance tomography

How to Cite

Reyes, S., Fraguela, A., Cruz, V. A., & Romano, E. A. (2012). Analytical solution of the direct problem of electrical capacitance tomography for two-phase fluid with a circular inclusion. Revista Integración, Temas De matemáticas, 30(2), 227–238. Retrieved from https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/2904

Abstract

In this article is disclosed a mathematical model to the problem of Electrical Capacitance Tomography (ECT), for the case of a dielectric biphasic fluid with a circular inclusion. We solve the direct problem, which consists in obtaining an analytic expression for the mutual capacitances. The solution of the direct problem will serve to validate any method of inverse problem solution, to calibrate the existing measurement equipment and also to build an adaptive discretization method to solve the inverse problem of the ECT.

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References

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