Original article
Analytical solution of the direct problem of electrical capacitance tomography for two-phase fluid with a circular inclusion
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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[2] Williams R.A. and Beck M.S., Process Tomography: Principles, Techniques and Applications, Butterworth Heinemann, Oxford, 1995.
[3] Fraguela A., Gómez S. and Oliveros J., “A new method for the solution of the inverse problem of electrical capacitance tomography and its application to image reconstruction of multiphase flows”, in Proceedings of the 5th International Conference on Inverse Problems in Engineering: Theory and Practice Cambridge, UK (2005), 1–11.
[4] Kallinderis E., “Adaptive hybrid grid methods”, Computer methods in Applied Mechanics and Engineering 189 (2000), 1231–1245.
[5] Shaofan L. and Wing Kam L., Meshfree Particle Methods, Springer-Verlag, Heidelberg, 2004.
[6] Thompson M.W. and Soni B., Handbook of grid generation, CRC Press, Boca Raton, 1999.
[7] Zhao J., Fu W., Li T. and Wang S., “An image reconstruction algorithm based on a revised regularization method for electrical capacitance tomography”, Meas. Sci.Technol. 13 (2002), 638–640.
[8] Gamio J.C., “A comparative analysis of single and multiple electrode excitation methods in electrical capacitance tomography”, Meas. Sci.Technol. 13 (2002), 1799–1809.
[9] Gamio J.C., Yang Q.W. and Stott A.L., “Analysis of nonideal characteristics of an ac-based capacitance transducter for tomography”, Meas. Sci.Technol. 12 (2001), 1076–1082.