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By H. Y. Sohn, M. Pérez-Tello, P. J. Smith, K. M. Riihilahti

A three-dimensional computer model for the Kennecott-Outokumpu flash converting process for copper matte is presented. The model incorporates the transport of momentum, heat and mass, and reaction kinetics between the gas and particles in a particle-laden turbulent gas jet. The k-E model is used to describe gas-phase turbulence in an Eulerian framework. The particlephase is treated from a Lagrangian viewpoint which is coupled to the gas phase through the source terms in the Eulerian gas-phase governing equations. Matte particles were represented as Cu2S·yFeSx. Based on experimental observation, the oxidation products were assumed to be Cu2O, CuO, Fe3O4, and SO2. A reaction mechanism involving the external mass transfer of oxygen to the particle surface and diffusion of the oxygen through the oxide layers of CuzO/Fe304 and CuO/Fe3O4 is proposed. Predictions of the mathematical model were compared with the experimental data collected in a large laboratory furnace. A reasonable agreement between the model predictions and the measurements was obtained in terms of fractional conversion of the oxidation reactions and of sulfur remaining in the reacted particles. The simulation of an industrial flash converting furnace was also performed. Higher oxidation rates, more even distribution of particles, and thus a more efficient use of the reactor volume are predicted with a burner having a distributor cone, than with a single-entry burner.

Jan 1, 1999

By Chonghun Han, Tae-Hwa Choi, Young-Hwan Chu

"A statistical optimization method is proposed to maintain stable operation in a blast furnace with stave coolers. The objective of this study is to find the operating condition which maximizes productivity as well as minimizes the heat load on the stave coolers. In this method, we first analyzed historical data and calculated the heat flux of stave coolers and the burden distribution by mathematical models. In this approach, we determined the variables to optimize and manipulated variables to adjust these response variables. Next, we collected the necessary data for the data variables after preprocessing such as removal of noise and outlier. Finally, we constructed empirical models describing the patterns of response variables in terms of manipulated variables by partial least squares regression method, and then these models were used as objective functions for entire optimization problem. By using appropriate optimization algorithm, we determined the compromised optimum operating condition considering all response variables from the past operating conditions.IntroductionBlast furnace operation which is accompanied by complex physical and chemical phenomena is an essential process for steel industry. In this process, iron ore which is charged into the blast furnace from the top goes downward. It is reduced to iron by CO gas and is melted by the heat of combustion of coke and pulverized coal. The pig iron is tapped at the bottom in liquid phase after removing the slag, which floats on the pig iron.The cooling equipment of the blast furnace wall is changed from the plate type to the stave cooler recently. In order to cool the shell uniformly and eliminate shell spray cooling, Pohang No.2 blast furnace of POSCO (Pohang Iron & Steel Company) was equipped with 11 rows of stave coolers. These staves are only 350mm-thick including the 170 mm-deep refractory on the hot face."

Jan 1, 2001

By K. Adham

"Fluidized beds are utilized in a wide range of high-temperature applications throughout the metals and materials industry. Their main advantage is the fast and uniform heat and mass transfer between the hot combustion gases and the particulate solid feed. A further benefit can be the lowering of the processing plant's energy consumption, through heat recovery from the fluid bed processes used for solids heating. Here, the enhanced energy efficiency of fluidized systems is investigated and the modeling results are discussed for three configurations: the flash tube, the single bubbling bed and the multi-stage fluid bed. Key thermal design aspects of each system are identified based on results from process simulations, in order to benchmark their main operating features and overall energy efficiency. Suitability and applicability of each configuration is also discussed based on a number of process and material property considerations.IntroductionCombustion based heating of particulate solids is commonly done using three different types of fluidized beds. The flash tube (FT) is similar to a hot pneumatic transport system. The single-stage fluidized bed (FB) typically uses in-bed combustion. The multi-stage fluidized bed (MSFB) can have two or more stages stacked into a tower.Flash tube (FT) suspends the incoming solid charge in a high-velocity stream of hot combustion gases. To maintain the solids suspension in the FT, two parameters are required: high velocity for elutriation of the particles and adequate solid-to-gas ratio for avoiding high pressure drops and solids drop-out [l].The fluid bed (FB) works at much lower velocities than the flash tube. Therefore, most of the solids are not conveyed in the gas stream, but are only suspended in a liquid-like manner. At minimum fluidization velocity (Umr), the gas flow exerts just enough force on the solids to keep them suspended in place [2].Multi-stage fluid bed (MSFB) heats up the solids as they are transferred from an upper bed level to a lower one, counter-current to the rising flow of hot gases generated at the lowest stage. As the temperature and volumetric flow of the gases decrease from bottom to the top stage, smaller bed diameters can be used in the energy recovery stages [3]."

Jan 1, 2014

By Y. K. Rao

Relatively pure crystalline lead sulfate (PbSO4) can be produced by chemical vapor transport from an impure source such as the lead-acid battery paste or the roast-ore-leach-residue from a hy¬drometallurgical process-route. In a closed-reactor, transport of matter is induced by a tempera¬ture-gradient and the steady-state transfer rate can be calculated using the data on the standard free energies of formation for the species present and the pertinent binary diffusion coefficients. The present work focusses on chemical vapor transport in a tubular reactor (1.4-cm inner diameter x 10-cm long) with the source- and deposition-ends held at 850°C (T,) and 750°C (Td), respectively; PbC12(g) is the 'solvent' or 'transport agent' and NiSO4(s) placed in the source-zone -serves to maintain a sufficiently high S0,-potential such that the stability of the lead sulfate species is ensured. For the purposes of analysis, the gas-phase in the reactor is assumed to consist of eight species: H2O, PbC12, SO3, SO2. O2 HO, C12, and PbC14. The reaction between C12(g) and PbSO4(s) in the high-temperature source-zone produces PbCl2, SO2, and 02; four more reaction-equilibria in the same zone yield other species. In the low-temperature deposition-zone, reaction equilibrium involving PbC12, H2O, and SO, leads to the nucleation and growth of PbSO4 crystals; three other reaction-equilibria occur in this zone. By employing the virtual equilibrium state for the end-zones and coupling it to the Stefan-Maxwell diffusion equations for each of the gas species, the respective partial pressures for these, in the source- and deposition-zones, are computed at steady-state. From these data, the molar fluxes of PbCl2. PbCl4, and so forth, are determined. Allowing for the transport-enhancing effects of thermal convection, the net transport rate of lead (or PbSO4) is duly calculated for specified initial conditions. The predicted rates show very good agreement with measured rate data reported in the literature [ V. Plies, T. Kohlmann and R. Gruehn: Z. anorg. allg. Chem, 568, 62 (1989)

Jan 1, 1995

By Kenneth L. Driggs

The 1988 shift in primary smelting facilities from low grade matte (35%) reverberatory furnaces to high grade matte (63%) flash smelting heavily impacted a very stable and successful converter operation. Low matte grade converter campaigns averaged 36,000 short tons of copper and revert production/consumption was in balance. The conversion to high matte grades necessitated oxygen enrichment of converter blast and revisions in operating practices. After two years of operational development, campaign life has risen to over 40,000 short tons and revert production/consumption is again in balance.

Jan 1, 1991

By Jing Zhan, Tian-zu Yang, Wei-feng Li, Li-Hua Jiang, Shi-yan Xu, Jian-yang Huang, Chuan-fu Zhang, Yan-qing Fan

The amount and activity of coal, reduction temperature and other parameters of the process of bottom-blown reduction of liquid high lead slag were investigated in laboratory. Methods to strengthen the bottom-blown reduction process were studied by industrial production. The results were in the follows: the reduction temperature was 1150℃; reduction time was 1.5h; the reductant was anthracite; lead content in slag was controlled to 2%; the rate of coal was 7% and gasification loss of coal in high temperature was severe; liquid lead slag reduction rate was faster with coal; prolonging the reaction size had little effect on reducing lead in slag; the size of the reactor can be further reduced.

Jan 1, 2015

By W. Song, C. Richards, B. Q. Li

"This paper presents a two-phase flow numerical model for spouting gas-particle flow reactors used in chemical vapor deposition processes for manufacturing heart valves and other biomedical implants. The model is developed based on the Eulerian-Eulerian formulation of gas-particle flows, with the k-e engineering model modified with the presence of particles for the description of turbulent gas flows. In parallel with the numerical model development, physical models are set up, where the particle image velocimetry is used for visualizing the particle flows and spout shapes and heights and optical probes are used to measure the particle velocities. The numerical model predictions are compared reasonably well with the experimental measurements.IntroductionVarious biomedical implant components, such as bone joints, dental components and heart valves, are coated with bio-compatible thin films by chemical vapor deposition in particle-laden chemical reactors [l-5]. In these reactors fine particles are used as packing and supporting media. During the coating operation, these packed particles are fluidized by an upward gas jet from the nozzle, reach a certain height and fall back on the top of an annulus region. These recirculating particles are mainly for levitating the implant components (usually one or two in a reactor at one time) so that every portion of them is equally exposed to the gaseous atmosphere. An equal exposure is critical for forming a uniform, mechanically strong and corrosion-resistant coating on implants. Plant experience shows that the quality of the coating is directly related to a stream of operating parameters such as temperature, particle size and loading, and gas flow rates [6]. Optimization of these operating parameters for improved reactor performance depends crucially upon our fundamental understanding of the physics governing the gas-particle flow, heat, and mass transfer phenomena taking place in these reactors."

Jan 1, 2004

By Vladimir Mindin

Simulation of complex equilibria is usually done in the P-T-X coordinates, where "Xu is the amount of individual chemical components in the system. This approach is not productive in some very important cases: (i) investigation of "open" systems, (ii) determination of coordinates (trajectories) of mono-variant points, among others. To solve these and some other problems, we use the idea of chemical potentials of elements (CPE) of the system. A system of different coordinates axes (CPE-axes ) leads to a new strategy of simulation, observing the results of the simulation, and to efficient technology of compressing and storage the data of the simulation.

Jan 1, 1994

By Chuanhong Li, Zuohua Lin, Zhancheng Guo

"Catalytic mechanism of CeO2 in combustion of coals was investigated in this paper. Catalytic combustion of four kinds of coals with different metamorphic grades by CeO2 was examined, suggesting that catalytic function of CeO2 increases with increase of metamorphic grade of the coals. One important reason for CeO2 promoting combustion of the coals is that pyrolysis of anthracite is advanced by CeO2, which not only raises the pyrolysis rate and pyrolysis conversion ratio, but increases contents of light components in pyrolysis gas; and both pore space and specific surface area of the pyrolysis char are enlarged by CeO2, which is another reason. In order to realize in situ catalysis for reducing catalyst consumption, it is crucial to increase catalyst particle number and enhance the bonding force between catalyst and coal. In addition, remarkable energy saving effect was observed when a nanometer calcium-based rare earth catalyst obtained by hydro-thermal synthesis was applied to catalytic combustion of coal injection into blast furnace.Introduction Coal combustion is acknowledged as one of the most important coal applications. Since addition of catalysts could reduce the ignition temperature of pulverized coal and accelerate the coal combustion, catalytic combustion is generally accepted as an effective measure to realize fast combustion of coal. Furthermore, different catalysts added may produce different effects on ignition temperature of coal. It is reported activity of catalysts with the same cation follows this order: OH->CO3 2->Cl->SO4 2-; while that of the catalysts which have the same anion follows: Cs+>Rb+>K+>Na+>Ba2+>Li+>Sr2+>Ca2+>Mg2+>Be2+ [1-4] .Due to the special physical and chemical structure, CeO2 plays an important role in the catalysis field. Many literatures point out that CeO2 not only has great catalytic effect on energy conversion, succeeded in catalyzing combustion of gaseous fuels such as CH4, CO, etc. but also can catalyze combustion of some liquid and solid fuels such as JP-10, black carbon, carbon deposit in the automobile exhausts and so on [5-9].Pyrolysis, the first step of combustion, directly influences ignition temperature and combustion rate of coals. So a great variety of catalysts were applied to catalyze pyrolysis of coals. And plenty of studies suggest that the alkali and alkaline-earth metal compounds inherent in the coals show apparent catalytic effect on coal pyrolysis. Meanwhile, addition of alkali and alkaline-earth metals into coal combustion process also indicates obvious catalysis effect, accelerating coal pyrolysis, improving pyrolysis conversion ratio, increasing contents of pyrolysis gases and changing composition of the pyrolysis gases [10-15].Although alkali and alkaline-earth metal compounds have good catalysis effect on coal combustion, their application in the catalysis field was limited because of their erosive attack to the combustion equipments. In contrast, CeO2, as a substitution of the traditional coal catalysts, presents widely potential application due to its good catalysis ability, non-corrosive and nontoxic. However, investigation on CeO2 catalyzing coal combustion is rarely reported. In this work, catalytic mechanism of CeO2 in coal combustion was studied, in an attempt to provide theoretical foundation for developing new catalysis technologies."

Jan 1, 2009

By Vincent Canaguier

Methane is increasingly considered as a promising reductant for metal oxides, including chromite. To assess the possibilities of such reduction route, the gas-solid reactions between Ar–CH4–H2 gas mixtures and synthetic chromites are studied between 950 and 1050 °C. The influence of Mg and Al additions on the reduction-caburization of (Fe,Mg)(Cr,Al)2O4 solid solution is investigated thermodynamically, structurally and kinetically. The product phases are examined by x-ray diffraction (XRD), scanning electron microscopy (SEM), and electron probe microanalysis (EPMA). The reaction rate is derived from real-time exhaust gas measurements and post-reaction product analyses such as oxygen analysis. Kinetic models are proposed based on the product phase morphologies and confronted with the empirical data.

By Xu Zhang, Xuewei Lv, Guibao Qiu

Slag foaming phenomenon is of vital importance to the mass and energy transfer in metallurgical processes. A considerable extensively studies carried out via out-gas in the past cannot simulate well the foaming phenomenon formed in the blast furnace where high TiO2 iron ore is used. A gas reaction was designed in the water-glycerol system to simulate the inner-gas system. This study investigated the influences of solution viscosity, particle concentration and particle size on foaming caused by endogenetic gas. The results show that the foaming height decreases with the increase of solution viscosity, which means reduced foaming ability, more difficult foaming elimination process and prolonged time for natural defoaming. With increasing the solid particle content, the foam height presents a trend which increases firstly and then decreases. Under a certain solid particle content, foaming height decreases with the increase of solid particle size, indicating a weak foaming ability.

Jan 1, 2015

By Bin Zhu, Mingmei Zhu, Hong Zhou, Xiaofei Dou, Bin Xie, Yu Wang, Tiancheng Lin

In this study, the formation of 2CaO·SiO2 and 3CaO·P2O5 solid solution (nC2S-C3P) in hot metal dephosphorization process is discussed. The variations of CaO and SiO2 mass, both in nC2S-C3P solid solution phase and liquid slag phase with increasing P2O5 mass in CaO-SiO2-FetO-P2O5 slags were calculated using Factsage software. CaO-SiO2-FeOt-P2O5 slag containing up to 18 % P2O5 was melted at 1823 K then cooled to 1673 K. The contents of CaO and SiO2 both in the solid solution phase and liquid slag phase of quenched samples were observed and analyzed by SEM/EDS. Both the calculated and experimental results show that the contents of CaO and SiO2 in the solid solution phase decreased, just opposite in the liquid slag phase, with increasing P2O5 content in the slags. Formation mechanism of nC2S-C3P solid solution in the slags was derived based on the ionic structure theory of molten slag. The SiO4 4- in the nC2S-C3P solid solution can be replaced by PO4 3- in the liquid phase resulting in the increasing of free Ca2+ and SiO4 4- in liquid phase.

Jan 1, 2015

By G. L. Fredrickson, T. A. Johnson, B. R. Westphal, J. C. Wass, S. X. Li, D. Vaden

"Recovery of uranium from the Mk-IV and Mk-V electrorefiner vessels containing a LiCl/KCl eutectic salt has been on-going during the pyrometallurgical processing of used nuclear fuel for 14 and 12 years, respectively. Although austenitic stainless steels are typically utilized for LiCl/KCl salt systems, the presence of cadmium in the Mk-IV electrorefiner dictates an alternate material. A 2.25Cr-1Mo alloy (ASME SA-387) was chosen due to the absence of nickel in the alloy which has a considerable solubility in cadmium. Using the transition metal impurities (iron, chromium, nickel, molybdenum, and manganese) in the electrorefined uranium products, an algorithm was developed to derive values for the contribution of the transition metals from the various input sources. Weight loss and corrosion rate data for the Mk-V electrorefiner vessel were then generated based on the transition metal impurities in the uranium products. To date, the corrosion rate of the 2.25Cr-1Mo alloy in LiCl/KCl eutectic is ""outstanding"" assuming uniform (i.e. non-localized) conditions.IntroductionLow-enriched uranium products are being recovered from the Experimental Breeder Reactor-II (EBR-II) and Fast Flux Test Facility (FFTF) used nuclear fuels by a pyrometallurgical treatment process at the Idaho National Laboratory (INL). The treatment process comprises a set of operations designed to neutralize bond sodium, recover uranium from radioactive fission products, and place the fission products into acceptable waste forms [1-2]. Reactive sodium metal, essential for heat transfer purposes during reactor operations, is readily converted to chloride during the process. Electrorefined uranium products are currently being stored pending a final disposition decision. Treatment of the EBR-II used driver fuel was initiated in June 1996 while blanket fuel processing started in September 1998. These treatment processes continue on the balance of the used fuels."

Jan 1, 2011

By O. Forsén

A new cell construction was designed for the study of the electrochemical behaviour of additives in conditions that simulate real copper, electrorefining. The behaviour of gelatine and thiourea was studied by applying different electrochemical methods, i.e. polarization resistance and voltametric measurements. In this study, individual galvanostatic electrolysis experiments were carried out for 120 hours. The organic additives were introduced to the electrolyte at certain intervals and their concentration was varied in the range &om zero to four ppm. An optical microscope was applied for the examination of copper cathode deposit microstructures. The results show that gelatine has a polarizing effect on the deposition potential of copper whereas even small amounts of thiourea depolarize the electrodeposition of copper. The maximum inhibitor efficiency of gelatine was obtained at a gelatine concentration of slightly lower than two ppm. When both gelatine and thiourea were present in the electrolyte, the depolarizing effect of thiourea exceeded completely the polarizing effect of gelatine. If chloride ions were added to gelatine and thiourea containing electrolyte, the electrochemical behaviour of the system was altered drastically. Chloride ions resulted in the prevailing of polarization effect caused by gelatine while the depolarizing effect of thiourea disappeared in this system. The polarizing effect of gelatine increased until chloride ion concentration of 30 ppm was reached. Also, the above electrochemical phenomena could be detected in the optical examination of copper deposit microstructure.

Jan 1, 1995

By David G. Dixon

A mathematical model is derived in dimensionless form which simulates the effluent concentration response of reagents from spent heaps under both fresh and recycled water rinsing. The model is based on dispersion from isochoric pathways distributed in length and cross-section, oriented normal to convection channels in ideal plug flow. The effects of heap height, rinsate flow, and initial reagent concentration are examined. It is shown that the rinsing cycle undergoes a distinct shift between fast and slow rinsing at a certain time depending on the amount of stagnant solution in the heap, and the distribution of dispersion pathways. Results of preliminary column rinsing tests on both agglomerated and unagglomerated ores are presented which partially validate the model.

Jan 1, 1994

By H. Cui

Rapid technological development has caused an increase in the demand for rare earths. Ancylite, a strontium rare earth carbonate, is a potentially significant source of rare earths. In this research paper, essential aspects of the magnetic separation and flotation processes for Bear Lodge ore are presented. A flowsheet is proposed based on an optimization of the variables and flotation simulation. The economic feasibility of the proposed processing operation is analyzed.

By Kexin Jiao, Huichang Song, Zhijia Zhang, Jianliang Zhang, Zhengjian Liu

A clear understanding of iron carburization reaction occurring between molten iron and carbonaceous materials is of great importance in blast furnace, and it is one of the hot spots that ironmaking workers pay close attention to. Although carburization rates between iron and coke have been studied, the factors directly controlling it have not been clearly identified. This study focused on the kinetics analysis of iron carburization reaction. Sulfur content was determined as having positive influence on graphite carburizing reaction rate in the range of 0.02% - 0.06%. The values of apparent activation energy calculated by the experiment are consistent with the existing literature, which in turn proved the reliability of the experimental data.

Jan 1, 2015

By Joseph Sofra

It has become increasingly evident that sustainable metals production in the 21" century requires producers to balance the needs of cost effective, high value production with that of responsible plant operation. This is becoming more difficult as lower grade and more complex feed materials, including recycled scrap and residues, arc being processed to reduce production costs and decrease exposure to primary metal market fluctuations. One particular facet of the metals industry facing these challenges in the 21 st century arc copper producers. The recent steady decline in the copper price has seen the industry cut expenditure, tighten control on income streams and focus on high returns on capital investment. For these reasons copper producers arc looking towards flexible technologies that can deliver high value products, with minimal environmental impact at low capital and low sustainable operating costs. Ausmelt's Top Submerged Lancing (TSL) technology for copper production is a low cost, proven technology for the processing of both primary and secondary copper materials. Both the smelting and converting operations introduce significant advantages in environmental performance, improved process efficiencies and high rates of metal recovery. Ausmelt has made significant gains in the past 4 years in establishing a strong market position for its copper technology. New installations in China, South Africa and India as well as existing operations in Zimbabwe and China have demonstrated its effectiveness. This paper reviews the application of Ausmelt Technology for both smelting and converting of primary and secondary sources. It discusses Ausmelt's design and implementation philosophy, and how this philosophy meshes with the needs of the end user.

Jan 1, 2003

By Rui-Qing Li, John G. Peacey, Peter J. Hancock

"Noranda has been investigating a pyrometallurgical process for the direct recovery of zinc from zinc concentrate and zinc and iron containing residues. The process consists of injecting dry zinc concentrate and secondary zinc materials into a molten iron oxysulphide bath, volatilizing metallic zinc into furnace off gas essentially free of sulphur or S02, fixing sulphur contained in the feed materials as iron oxysulphide matte which is disposed, and recovering metallic zinc in an ISP type lead splash condenser. Combustion of petroleum coke with air or oxygen enriched air inside the oxygen containing matte supplies part of the heat, and the products of combustion dilute the zinc-laden gas to a desired level.This paper describes the process concept, thermodynamic background, experimental tests, mass and heat balance calculation for a conceptual flowsheet, environmental stability of the residue and advantages and disadvantages of the process. Experimental tests have successfully proved the process concept and thermodynamic predictions. Direct smelting of zinc concentrate and residues inside an iron oxysulfide bath has a great potential to become a cost effective and flexible zinc smelting process.1. INTRODUCTIONZinc is mainly produced by a roast-leach-electrowinning process route, which accounts for about 80% of the world primary zinc production. This process produces high quality zinc with very high zinc recovery (>95%) but suffers from several major drawbacks such as using high cost electricity as reductant, producing environmentally problematic iron containing leach residue (jarosite or goethite) and the difficulty in treating secondary zinc feed materials containing high impurity levels, such as electric arc furnace dusts from the steel industry, and other complex sources. Also in some areas, markets for sulphuric acid are distant resulting in negative realizations on acid sales.The Imperial Smelting Furnace (ISF) process is the major pyrometallurgical process to treat zinc-lead concentrate. The advantage of this process over the electrolytic zinc process is its flexibility in treating high-lead, bulk concentrates with high recoveries of lead, copper and precious metals. However, this is a two-stage process involving sintering of Zn-Pb concentrates followed by blast furnace reduction. The process requires large amounts of high-quality coke which is a major operation cost, and the sintering process which results in serious environmental problems."

Jan 1, 1996

By Fan Jiang, Haigang Wang, Shi Liu

"This paper describes several applications of Electrical Capacitance Tomography (ECT) in gassolid two phase flows. A new image reconstruction algorithm was evaluated by both simulation and experiments. It is then applied to the online measurement of solids distributions in square circulating fluidized beds (CFBs) and good results were obtained. From the measurement of solids distributions in the bottom zone of a CFB, a bubbly fluidization pattern is identified. A cross-correlation technique was combined with the solids concentration measurements to obtain the flow rate through the dip leg of the cyclone, i.e. the circulating rate of a test CFB. The same· technique was applied in a dense phase pneumatic transport pipe provides the solids concentration, and the flow rate of a wavy gas-solids flow.IntroductionElectrical capacitance tomography (ECT) has been developed for imaging multiphase distributions in the 90's of the ·last century. It is a non-intrusive method. The principle of ECT can be firefly described as follows:Firstly ECT uses a number of electrodes to surround the measuring zone, depicted by Fig. I. The capacitances between the electrodes are measured in turn and an array C is obtained that contains a total number of m independently measured capacitances. Meanwhile the measuring zone is virtually divided into a grid of n pixels, represented by an array G, named the image vector, the gray level of each pixel represents the local value of the concentration of the material. As the material distribution will be reflected by the capacitances between each pair of electrodes, such distributions can be reconstructed according to the measured capacitance, a process called image reconstruction. A common image reconstruction method is called linear-backprojection (LBP). It linearize the relationship between the dielectric distributions in the measuring zone and the capacitances between the electrodes as the following:"

Jan 1, 2004