Electrical capacitance tomography two-phase oil-gas pipe flow imaging by the linear back-projection algorithm
Electrical Capacitance Tomography (ECT) is a novel technology that can deal with the complexity of two-phase gas-oil flow measurement by explicitly deriving the component distributions on two adjacent planes along a pipeline. One of its most promising applications is the visualization of gas-oil flo...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Universidad Nacional Autónoma de México, Instituto de Geofísica
2005-12-01
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| Series: | Geofísica Internacional |
| Subjects: | |
| Online Access: | http://www.geofisica.unam.mx/unid_apoyo/editorial/publicaciones/investigacion/geofisica_internacional/anteriores/2005/03/Gamio.pdf |
| _version_ | 1827833446739738624 |
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| author | R. Martin C. Ortiz-Alemán J. C. Gamio |
| author_facet | R. Martin C. Ortiz-Alemán J. C. Gamio |
| author_sort | R. Martin |
| collection | DOAJ |
| description | Electrical Capacitance Tomography (ECT) is a novel technology that can deal with the complexity of two-phase gas-oil flow measurement by explicitly deriving the component distributions on two adjacent planes along a pipeline. One of its most promising applications is the visualization of gas-oil flows. ECT offers some advantages over other tomography modalities, such as no radiation, rapid response, low-cost, being non-intrusive and non-invasive, and the ability to withstand high temperature and high pressure. The linear back-projection (LBP) algorithm is one of the most popular methods employed to perform image reconstruction in ECT. Despite its relatively poor accuracy, it is a simple and fast procedure capable of real-time operation in many applications, and it has remained a very popular choice. However, since it was first reported it has lacked a clear formal support in the context of this application. Its only justification has been that it was an adaptation of a method normally used in linear X-ray medical tomography, and the fact that it actually does produce useful (albeit only ‘qualitative’) images. In this paper, one illustrative way of interpreting LBP is presented. It is shown how LBP is actually based on the linearisation of a normalised form of the forward problem. More specifically, the normalised forward problem is approximated by means of a series of hyper-planes. The reconstruction matrix used in LBP is found to be a ‘weighted’ transpose of the linear operator (matrix) that defines the linearised normalised forward problem. The rows of this latter matrix contain the information of the sensitivity maps used in LBP. |
| first_indexed | 2024-03-12T05:32:14Z |
| format | Article |
| id | doaj.art-247ac0eeea444c2f9658803dc78e1e9a |
| institution | Directory Open Access Journal |
| issn | 0016-7169 |
| language | English |
| last_indexed | 2024-03-12T05:32:14Z |
| publishDate | 2005-12-01 |
| publisher | Universidad Nacional Autónoma de México, Instituto de Geofísica |
| record_format | Article |
| series | Geofísica Internacional |
| spelling | doaj.art-247ac0eeea444c2f9658803dc78e1e9a2023-09-03T06:50:37ZengUniversidad Nacional Autónoma de México, Instituto de GeofísicaGeofísica Internacional0016-71692005-12-01443265273Electrical capacitance tomography two-phase oil-gas pipe flow imaging by the linear back-projection algorithmR. MartinC. Ortiz-AlemánJ. C. GamioElectrical Capacitance Tomography (ECT) is a novel technology that can deal with the complexity of two-phase gas-oil flow measurement by explicitly deriving the component distributions on two adjacent planes along a pipeline. One of its most promising applications is the visualization of gas-oil flows. ECT offers some advantages over other tomography modalities, such as no radiation, rapid response, low-cost, being non-intrusive and non-invasive, and the ability to withstand high temperature and high pressure. The linear back-projection (LBP) algorithm is one of the most popular methods employed to perform image reconstruction in ECT. Despite its relatively poor accuracy, it is a simple and fast procedure capable of real-time operation in many applications, and it has remained a very popular choice. However, since it was first reported it has lacked a clear formal support in the context of this application. Its only justification has been that it was an adaptation of a method normally used in linear X-ray medical tomography, and the fact that it actually does produce useful (albeit only ‘qualitative’) images. In this paper, one illustrative way of interpreting LBP is presented. It is shown how LBP is actually based on the linearisation of a normalised form of the forward problem. More specifically, the normalised forward problem is approximated by means of a series of hyper-planes. The reconstruction matrix used in LBP is found to be a ‘weighted’ transpose of the linear operator (matrix) that defines the linearised normalised forward problem. The rows of this latter matrix contain the information of the sensitivity maps used in LBP.http://www.geofisica.unam.mx/unid_apoyo/editorial/publicaciones/investigacion/geofisica_internacional/anteriores/2005/03/Gamio.pdfCapacitance tomographylinear back-projectionimage reconstructionflow imaginginverse modelling |
| spellingShingle | R. Martin C. Ortiz-Alemán J. C. Gamio Electrical capacitance tomography two-phase oil-gas pipe flow imaging by the linear back-projection algorithm Geofísica Internacional Capacitance tomography linear back-projection image reconstruction flow imaging inverse modelling |
| title | Electrical capacitance tomography two-phase oil-gas pipe flow imaging by the linear back-projection algorithm |
| title_full | Electrical capacitance tomography two-phase oil-gas pipe flow imaging by the linear back-projection algorithm |
| title_fullStr | Electrical capacitance tomography two-phase oil-gas pipe flow imaging by the linear back-projection algorithm |
| title_full_unstemmed | Electrical capacitance tomography two-phase oil-gas pipe flow imaging by the linear back-projection algorithm |
| title_short | Electrical capacitance tomography two-phase oil-gas pipe flow imaging by the linear back-projection algorithm |
| title_sort | electrical capacitance tomography two phase oil gas pipe flow imaging by the linear back projection algorithm |
| topic | Capacitance tomography linear back-projection image reconstruction flow imaging inverse modelling |
| url | http://www.geofisica.unam.mx/unid_apoyo/editorial/publicaciones/investigacion/geofisica_internacional/anteriores/2005/03/Gamio.pdf |
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