Reconstruction of capacitance tomography images of simulated two-phase flow regimes

Applied Numerical Mathematics

Volumn 46, Issue 2, 2003, Pages 197-208

  Gomez, Susana ^a   Ono, Michiyo ^b   Gamio, Carlos ^b   Fraguela, Andres ^c  

^a IIMAS UNAM   (Mexico)

^b INSTITUTO MEXICANO DEL PETRÓLEO   (Mexico)

^c BENEMÉRITA UNIVERSIDAD AUTÓNOMA DE PUEBLA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

CAPACITANCE; COMPUTER SIMULATION; ERROR ANALYSIS; IMAGE RECONSTRUCTION; INVERSE PROBLEMS; PERMITTIVITY; PROBLEM SOLVING; TWO PHASE FLOW;

ELECTRICAL CAPACITANCE TOMOGRAPHY (ECT);

TOMOGRAPHY;

EID: 0038452391     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(02)00253-2     Document Type: Article

References (15)

1. Castellanos L., Gomez S., Guerra V. The triangle method for finding the corner of the L -curve. Appl.Numer. Math. 43:2003;359-373.
2. Engl H., Hanke M., Neubauer A. Regularization of Inverse Problems. 1996;Kluwer, Dordrecht.
3. A. Fraguela, J. Oliveros, S. Gomez, A new approach to the solution of the inverse problem in capacitance tomography imaging of two phase flow regimes, Inverse Problems, submitted.
4. A. Fraguela, C. Gamio, D. Hinestroza, The inverse problem of electrical capacitance tomography and its application to gas-oil 2-phase flow imaging, in: Proceedings of the 4th WSEAS Conference on Mathematics and Computers in Physics, Mexico, 2002.
5. George P.L. Automatic Mesh Generation, Application to Finite Element Methods. 1991;Wiley, New York.
6. Gomez S., Perez A., Dilla F., Alvarez R.M. On the automatic calibration of a confined aquifer. Computational Methods for Water Resources. IX:2002;Kluwer Academic, Dordrecht.
7. Hansen P.C. Rank-Deficient and Discrete Ill-posed Problems. 1998;SIAM, Philadelphia, PA.
8. Lawson C.L., Hanson R.J. Solving Least Squares Problems. 1974;Prentice-Hall, Englewood Cliffs, NJ. Reprinted by SIAM, Philadelphia, PA, 1995.
9. Miller K. Least squares methods for ill-posed problems with a prescribed bound. SIAM J. Math. Anal. 1:1970;52-74.
10. Nocedal J., Wright S.J. Numerical Optimisation. Springer Series in Operations Research. 1999;Springer, Berlin.
11. Tikhonov A.N. Solution of incorrectly formulated problems and the regularisation method. Soviet Math. Dokl. 4, 1035-1038; English translation Dokl. Akad. Nauk. USSR. 151:1963;501-504.
12. Vauhkonen M., Lionheart W.R.B., Heikkinen L.M., Vauhkonen P.J., Kaipio J.P. A MATLAB package for the EIDORS project to reconstruct two-dimensional EIT images. Phys. Measurement. 22:2001;107-111.
13. Yang W.Q., Beck M.S., Byars M. Electrical capacitance tomography: from design to applications. Measurement Control. 28:1995;261-266.
14. Yang W.Q., Sttot A.S., Xie C.G., Beck M.S. Development of capacitance tomographic imaging systems for oil pipeline measurements. Rev. Sci. Instrum. 66:1995;4326-4332.
15. Xie C.G., Plaskowski A., Beck M.S. 8-electrode capacitance system for two-component flow identification Part 1: Tomographic flow imaging. IEE Proc. A. 136:1989;173-183.