Thesis (MScEng (Electrical and Electronic Engineering))--University of Stellenbosch, 2009. / The PBMR has called for research into the possibility of distributed in-core temperature measurement. In this thesis, several methods for distributed temperature measurement in high-pressure, -radiation and -temperature environments have been investigated by means of a literature study. The literature study has revealed FBG temperature sensors as the most feasible solution to the temperature measurement challenge. Various parameters affecting the propagation of light in optical fibres and consequently the FBG reflection profile was researched. The differential equations describing FBG structures were solved and implemented in Matlab in order to simulate WDM of a distributed FBG sensing system. Distributed sensing with apodized FBGs written in sapphire optical fibre show the most promise of becoming a solution to the measurement challenge. However, practical testing of sapphire FBGs exposed to the environment in the PBMR core is required. With this long-term goal in mind, a general test platform for FBG temperature sensors was assembled. A heater controller was built for a specialized fibre heating element capable of controlling the temperature of a single FBG up to 1600 C. Temperature measurement using wavelength division multiplexing of apodized FBGs written in silica optical fibre were demonstrated in the test platform with great success. The measured results corresponded very well with the theory. Finally, the implementation of FBGs in the PBMR is discussed and recommendations are made for future work

As ocorrências estudadas da Sequência da Serra da Boa Vista (SSBV) balizam a borda leste do Quadrilátero Ferrífero nos distritos Santa Rita Durão, Bento Rodrigues e Camargos, da cidade de Mariana até a norte de Catas Altas. Sua geologia e as mineralizações de ouro foram enfocados nessa pesquisa baseada em mapeamento 1:25.000, levantamentos estratigráficos detalhados, estudos mineralógico-petrográficos, litogeoquímicos multielementares e das mineralizações auríferas e de morfologia e microgeoquímica de grãos de ouro e minerais associados via MEV-EDS, visando-se a evolução precambriana e a metalogênese do ouro da SSBV, bem como suas relações com as demais rochas da área, principalmente dos supergrupos Minas e Espinhaço. A área compreende um embasamento arqueano granito-gnáissico TTG em contato milonítico com rochas supracrustais do Greenstone Belt Rio das Velhas (Supergrupo Rio das Velhas) e coberturas paleoproterozóicas dos supergrupos Minas e Espinhaço (anteriormente Série Itacolomi) e da SSBV, com coberturas cenozóicas de canga e alúvio-coluvionares. A SSBV é constituída por quartzitos micáceos com estratificações cruzadas acanaladas de pequeno porte a metaconglomerados, caracteristicamente com fuchsita e sulfetos detríticos, com grânulos a calhaus de metachert e, localmente, de itabiritos. Em menor quantidade e mais restritos ocorrem ainda metaconglomerados polimíticos com seixos de quartzitos, metacherts e itabiritos, magnetita-cloritóide quartzitos com estratificações cruzadas acanaladas de pequeno porte com intercalações de grafita e hematita filitos e turmalinitos, assim como metabrechas intraformacionais itabiríticas. Essas rochas apresentam facies xisto verde predominante, a anfibolito, na parte leste da área. A SSBV desenvolveu-se em uma bacia alongada, de direção geral norte-sul, compartimentada, diretamente sobre o embasamento arqueano, com contribuição quartzosa do complexo gnáissico migmatítico TTG e, possivelmente, dos Metagranitóides Borrachudos (arqueanos), e contribuição detrítica do ouro das rochas do Greenstone Belt Rio das Velhas. A compartimentação da bacia levou à sedimentação de facies distintas - ao menos, no início de sua evolução - reforçada por tectônica sinsedimentar ao longo da deposição; nas facies superiores da SSBV predominam amplamente quartzitos micáceos com lentes de metaconglomerados de grânulos de metachert. O ambiente deposicional remete a uma planície de rios entrelaçados, temporariamente alagada e retrabalhada em ambiente intramaré, com inundação marinha final. O estudo das minas Ouro Fino, Cata Preta e Tesoureiro e do garimpo Fazenda Gualaxo mostrou serem as mineralizações de ouro da SSBV singenéticas, de tipo paleoplacer, com remobilização por veios de quartzo internos ao pacote sedimentar (da SSBV), de origens diagenéticas a metamórficas - de tipo paleoplacer modificado. Os grãos de ouro da SSBV apresentam teores de prata variáveis de até 15%, sem paládio, reforçando a proveniência exclusiva do ouro do Greenstone Belt Rio das Velhas. Os resultados obtidos e as observações nas continuações setentrionais da SSBV, incluindo o garimpo do Morro da Água Quente e as minas históricas de Pitanguí, Quebra Osso até Brumado, apontam para um padrão metalogenético único de mineralizações auríferas singenéticas de tipo paleoplaceres e paleoplaceres modificados, descaracterizados em proporções variáveis por retrabalhamentos tectono-metamórficos policíclicos. O potencial aurífero regional da SSBV é confirmado como elevado e para a sua definição são recomendados estudos específicos prospectivos e de viabilidade econômica. / The Sequência da Serra da Boa Vista (SSBV) stratches in a narrow belt of quartzites and metaconglomerates along the eastern border of the Quadrilátero Ferrífero in the districts of Santa Rita Durão, Bento Rodrigues and Camargos from Mariana, Minas Gerais to north of Catas Altas. The geology and gold mineralizations of the SSBV were studied, based on 1:25.000 mapping, detailed stratigraphical cross sections, mineralogical and petrographical studies, lithogeochemistry, geochemistry of the gold mineralizations and morphology and microgeochemistry of gold grains and associated minerals via SEM-EDS in order to understand better the Precambrian evolution and the metallogenesis of the gold of the SSBV as their as its relationships to other rock units of the region, mainly the Minas and Espinhaço supergroups. The study area comprises an Archean basement of TTG granitic gneisses in mylonitic contact with supracrustal rocks of the Rio das Velhas Greenstone Belt (Rio das Velhas Supergroup) and Paleoproterozoic metasedimentary deposits of the Minas and Espinhaço supergroups (formerly, Itacolomi Series) and the SSBV, with Cenozoic canga and alluvial and colluvial covers. Regionally, greenschist facies metamorphism prevails, grading to amphibolite facies in the eastern part of the area. SSBV consists of micaceous quartzites with small-scale cross-bedding and metaconglomerates with granules and pebbles of metachert and, locally, itabirites, characteristically with fuchsite and detritic sulfides. In smaller amounts and more restricted there occur polymictic metaconglomerates (with quartzite, metachert and itabirite pebbles), magnetite-chloritoid quartzites (with small-scale cross-bedding and intercalations of graphite and hematite phyllites and tourmalinite layers), as well as intraformational itabiritic metabrecchias. SSBV deposits developed directly upon the Archean basement in a narrow, elongate basin oriented and subdivided longitudinally in a north-south direction that received quartzose sediments from the gneissic-migmatitic TTG Complex and possibly from the Archean Borrachudos Metagranitoid; detritic gold came from the Rio das Velhas Greenstone Belt. Initial basin subdivision and ensuing synsedimentary tectonics led to sedimentation of different facies. In the upper part of the SSBV micaceous quartzites with lenses of metachert-granule metaconglomerates predominate. The depositional environment in the basin was a coastal braided river plain with periodic marine incursion accompained by intratidal reworkings and, finally, shallow-marine inundation. The study of the Ouro Fino, Cata Preta and Tesoureiro mines and the Garimpo Fazenda Gualaxo showed the gold mineralizations of the SSBV to be syngenetic, of paleoplacer and modified paleoplacer types with diagenetic to metamorphic remobilization (quartz veins) within the sedimentary sequence. Gold grains of the SSBV show variable silver contents up to 15%, without palladium, demonstrating the exclusive provenance of the gold from the Rio das Velhas Greenstone Belt. Results and observations in the northern SSBV, including the Garimpo do Morro da Água Quente and the Pitanguí and Quebra Osso-Brumado historic mines, indicate a homogeneous metallogenetic pattern of syngenetic gold mineralizations of paleoplacer and modified paleoplacer types, obliterated in varying proportions by tectono-metamorphic polyciclic reworkings. This study confirms the high regional gold potential of the SSBV and recommends specific prospective studies and economic viability analyses for its more complete definition.

As ocorrências estudadas da Sequência da Serra da Boa Vista (SSBV) balizam a borda leste do Quadrilátero Ferrífero nos distritos Santa Rita Durão, Bento Rodrigues e Camargos, da cidade de Mariana até a norte de Catas Altas. Sua geologia e as mineralizações de ouro foram enfocados nessa pesquisa baseada em mapeamento 1:25.000, levantamentos estratigráficos detalhados, estudos mineralógico-petrográficos, litogeoquímicos multielementares e das mineralizações auríferas e de morfologia e microgeoquímica de grãos de ouro e minerais associados via MEV-EDS, visando-se a evolução precambriana e a metalogênese do ouro da SSBV, bem como suas relações com as demais rochas da área, principalmente dos supergrupos Minas e Espinhaço. A área compreende um embasamento arqueano granito-gnáissico TTG em contato milonítico com rochas supracrustais do Greenstone Belt Rio das Velhas (Supergrupo Rio das Velhas) e coberturas paleoproterozóicas dos supergrupos Minas e Espinhaço (anteriormente Série Itacolomi) e da SSBV, com coberturas cenozóicas de canga e alúvio-coluvionares. A SSBV é constituída por quartzitos micáceos com estratificações cruzadas acanaladas de pequeno porte a metaconglomerados, caracteristicamente com fuchsita e sulfetos detríticos, com grânulos a calhaus de metachert e, localmente, de itabiritos. Em menor quantidade e mais restritos ocorrem ainda metaconglomerados polimíticos com seixos de quartzitos, metacherts e itabiritos, magnetita-cloritóide quartzitos com estratificações cruzadas acanaladas de pequeno porte com intercalações de grafita e hematita filitos e turmalinitos, assim como metabrechas intraformacionais itabiríticas. Essas rochas apresentam facies xisto verde predominante, a anfibolito, na parte leste da área. A SSBV desenvolveu-se em uma bacia alongada, de direção geral norte-sul, compartimentada, diretamente sobre o embasamento arqueano, com contribuição quartzosa do complexo gnáissico migmatítico TTG e, possivelmente, dos Metagranitóides Borrachudos (arqueanos), e contribuição detrítica do ouro das rochas do Greenstone Belt Rio das Velhas. A compartimentação da bacia levou à sedimentação de facies distintas - ao menos, no início de sua evolução - reforçada por tectônica sinsedimentar ao longo da deposição; nas facies superiores da SSBV predominam amplamente quartzitos micáceos com lentes de metaconglomerados de grânulos de metachert. O ambiente deposicional remete a uma planície de rios entrelaçados, temporariamente alagada e retrabalhada em ambiente intramaré, com inundação marinha final. O estudo das minas Ouro Fino, Cata Preta e Tesoureiro e do garimpo Fazenda Gualaxo mostrou serem as mineralizações de ouro da SSBV singenéticas, de tipo paleoplacer, com remobilização por veios de quartzo internos ao pacote sedimentar (da SSBV), de origens diagenéticas a metamórficas - de tipo paleoplacer modificado. Os grãos de ouro da SSBV apresentam teores de prata variáveis de até 15%, sem paládio, reforçando a proveniência exclusiva do ouro do Greenstone Belt Rio das Velhas. Os resultados obtidos e as observações nas continuações setentrionais da SSBV, incluindo o garimpo do Morro da Água Quente e as minas históricas de Pitanguí, Quebra Osso até Brumado, apontam para um padrão metalogenético único de mineralizações auríferas singenéticas de tipo paleoplaceres e paleoplaceres modificados, descaracterizados em proporções variáveis por retrabalhamentos tectono-metamórficos policíclicos. O potencial aurífero regional da SSBV é confirmado como elevado e para a sua definição são recomendados estudos específicos prospectivos e de viabilidade econômica. / The Sequência da Serra da Boa Vista (SSBV) stratches in a narrow belt of quartzites and metaconglomerates along the eastern border of the Quadrilátero Ferrífero in the districts of Santa Rita Durão, Bento Rodrigues and Camargos from Mariana, Minas Gerais to north of Catas Altas. The geology and gold mineralizations of the SSBV were studied, based on 1:25.000 mapping, detailed stratigraphical cross sections, mineralogical and petrographical studies, lithogeochemistry, geochemistry of the gold mineralizations and morphology and microgeochemistry of gold grains and associated minerals via SEM-EDS in order to understand better the Precambrian evolution and the metallogenesis of the gold of the SSBV as their as its relationships to other rock units of the region, mainly the Minas and Espinhaço supergroups. The study area comprises an Archean basement of TTG granitic gneisses in mylonitic contact with supracrustal rocks of the Rio das Velhas Greenstone Belt (Rio das Velhas Supergroup) and Paleoproterozoic metasedimentary deposits of the Minas and Espinhaço supergroups (formerly, Itacolomi Series) and the SSBV, with Cenozoic canga and alluvial and colluvial covers. Regionally, greenschist facies metamorphism prevails, grading to amphibolite facies in the eastern part of the area. SSBV consists of micaceous quartzites with small-scale cross-bedding and metaconglomerates with granules and pebbles of metachert and, locally, itabirites, characteristically with fuchsite and detritic sulfides. In smaller amounts and more restricted there occur polymictic metaconglomerates (with quartzite, metachert and itabirite pebbles), magnetite-chloritoid quartzites (with small-scale cross-bedding and intercalations of graphite and hematite phyllites and tourmalinite layers), as well as intraformational itabiritic metabrecchias. SSBV deposits developed directly upon the Archean basement in a narrow, elongate basin oriented and subdivided longitudinally in a north-south direction that received quartzose sediments from the gneissic-migmatitic TTG Complex and possibly from the Archean Borrachudos Metagranitoid; detritic gold came from the Rio das Velhas Greenstone Belt. Initial basin subdivision and ensuing synsedimentary tectonics led to sedimentation of different facies. In the upper part of the SSBV micaceous quartzites with lenses of metachert-granule metaconglomerates predominate. The depositional environment in the basin was a coastal braided river plain with periodic marine incursion accompained by intratidal reworkings and, finally, shallow-marine inundation. The study of the Ouro Fino, Cata Preta and Tesoureiro mines and the Garimpo Fazenda Gualaxo showed the gold mineralizations of the SSBV to be syngenetic, of paleoplacer and modified paleoplacer types with diagenetic to metamorphic remobilization (quartz veins) within the sedimentary sequence. Gold grains of the SSBV show variable silver contents up to 15%, without palladium, demonstrating the exclusive provenance of the gold from the Rio das Velhas Greenstone Belt. Results and observations in the northern SSBV, including the Garimpo do Morro da Água Quente and the Pitanguí and Quebra Osso-Brumado historic mines, indicate a homogeneous metallogenetic pattern of syngenetic gold mineralizations of paleoplacer and modified paleoplacer types, obliterated in varying proportions by tectono-metamorphic polyciclic reworkings. This study confirms the high regional gold potential of the SSBV and recommends specific prospective studies and economic viability analyses for its more complete definition.

A high temperature molten salt test loop that utilizes FLiNaK (LiF-NaF-KF) at 700ºC has been proposed by Oak Ridge National Laboratory (ORNL) to study molten salt flow characteristics through a pebble bed for applications in high temperature thermal systems, in particular the Pebble Bed – Advanced High Temperature Reactor (PB-AHTR). The University of Tennessee Nuclear Engineering Department has been tasked with developing and testing pressure instrumentation for direct measurements inside the high temperature environment. A nickel diaphragm based direct contact pressure sensor is developed for use in the salt. Capacitive and interferometric methods are used to infer the displacement of the diaphragm. Two sets of performance data were collected at high temperatures. The fiber optic, Fabry-Perot interferometric sensor was tested in a molten salt bath. The capacitive pressure sensor was tested at high temperatures in a furnace under argon cover gas.

An accurate and computationally fast method to generate nodal cross sections for the Pebble Bed Reactor (PBR) was presented. In this method, named Spectral History Correction (SHC), a set of fine group microscopic cross section libraries, pre-computed at specified depletion and moderation states, was coupled with the nodal nuclide densities and group bucklings to compute the new fine group spectrum for each node. The relevant fine group cross-section library was then recollapsed to the local broad group cross-section structure with this new fine group spectrum. This library set was tracked in terms of fuel isotopic densities. Fine group modulation factors (to correct the homogeneous flux for heterogeneous effects) and fission spectra were also stored with the cross section library. As the PBR simulation converges to a steady state fuel cycle, the initial nodal cross section library becomes inaccurate due to the burnup of the fuel and the neutron leakage into and out of the node. Because of the recirculation of discharged fuel pebbles with fresh fuel pebbles, a node can consist of a collection of pebbles at various burnup stages. To account for the nodal burnup, the microscopic cross sections were combined with nodal averaged atom densities to approximate the fine group macroscopic cross-sections for that node. These constructed, homogeneous macroscopic cross sections within the node were used to calculate a numerical solution for the fine group spectrum with B1 theory. This new fine spectrum was used to collapse the pre-computed microscopic cross section library to the broad group structure employed by the fuel cycle code. This SHC technique was developed and practically implemented as a subroutine within the PBR fuel cycle code PEBBED. The SHC subroutine was called to recalculate the broad group cross sections during the code convergence. The result was a fast method that compared favorably to the benchmark scheme of cross section calculation with the lattice cross-section generator for two PBR reactor designs.

We study the relationship between size and depth for Boolean circuits. Over four decades, very few results were obtained for either special or general Boolean circuits. Spira showed in 1971 that any Boolean formula of size s can be simulated in depth O(log s). Spira's result means that an arbitrary Boolean expression can be replaced by an equivalent "balanced" expression, that can be evaluated very efficiently in parallel. For general Boolean circuits, the strongest known result is that Boolean circuits of size s can be simulated in depth O(s / log s). We obtain significant improvements over the general bounds for the size versus depth problem for special classes of Boolean circuits. We show that every layered Boolean circuit of size s can be simulated by a layered Boolean circuit of depth O(sqrt{s log s}). For planar circuits and synchronous circuits of size s, we obtain simulations of depth O(sqrt{s}). Improving any of the above results by polylog factors would immediately improve the bounds for general circuits. We generalize Spira's theorem and show that any Boolean circuit of size s with segregators of size f(s) can be simulated in depth O(f(s)log s). This improves and generalizes a simulation of polynomial-size Boolean circuits of constant treewidth k in depth O(k² log n) by Jansen and Sarma. Since the existence of small balanced separators in a directed acyclic graph implies that the graph also has small segregators, our results also apply to circuits with small separators. Our results imply that the class of languages computed by non-uniform families of polynomial size circuits that have constant size segregators equals non-uniform NC¹. As an application of our simulation of circuits in small depth, we show that the Boolean Circuit Value problem for circuits with constant size segregators (or separators) is in deterministic SPACE (log² n). Our results also imply that the Planar Circuit Value problem, which is known to be P-Complete, is in SPACE (sqrt{n} log n). We also show that the Layered Circuit Value and Synchronous Circuit Value problems, which are both P-complete, are in SPACE(sqrt{n}). Our study of circuits with small separators and segregators led us to obtain space efficient algorithms for computing balanced graph separators. We extend this approach to obtain space efficient approximation algorithms for the search and optimization versions of the SUBSET SUM problem, which is one of the most studied NP-complete problems. Finally we study the relationship between simultaneous time and space bounds on Turing machines and Boolean circuit depth. We observe a new connection between planar circuit size and simultaneous time and space products of input-oblivious Turing machines. We use this to prove quadratic lower bounds on the product of time and space for several explicit functions for input-oblivious Turing machines. / text

Nuclear safety is the main concern for the licensing of nuclear power plants, not only in the Republic of South Africa but also worldwide. The design of the nuclear power plant plays an important role in the licensing process, which includes probabilistic and deterministic analysis of a set of design or Licensing basis events. This study was about the deterministic analysis for the sensitivity of licensing basis events radiological consequences to different radiological pathways. The study was done for the Pebble Bed Modular Reactor (PBMR), which is a nuclear power plant, still in its early phase of design approaching its detailed design phase. An abnormal event or an accident could lead to a release of radioactive particles and gases from a Pebble Bed Modular Reactor and could give rise to radiation exposure to workers and the surrounding population. Therefore nuclear events due to PBMR, which are Licensing Basis Events or Design Basis Accidents, must be analysed in order to demonstrate that accidental and routine releases of radioactivity are kept As Low As Reasonably Achievable (ALARA) and that the design basis meets offsite dose requirements with adequate safety margins. In this work, it is also shown that collectively the risk criteria are satisfied in the fundamental safety requirements of National Nuclear Regulator (NNR) of the Republic of South Africa (RSA) and similar risk criteria of the other countries in which it has to be employed. Furthermore the various pathways through which radioactivity can reach the public are analysed. The focus of the study was to determine which pathways deliver the greatest radiation exposure if there is an accident due to an event happening in PBMR and also to provide a LBE analysis process as a step in confirming that the design meets the licensing requirements. / Thesis (M.Sc. ARST) North-West University, 2004

Thesis (M.Eng. (Mechanical )) -- University of Pretoria, 2007. / Includes bibliographical references (leaves 73-81)

This work details modelling buoyancy-driven viscous flow and heat transfer through heterogeneous saturated packed pebble beds via a set of volume-averaged conservation equations in which local thermal disequilibrium is accounted for. The latter refers to the two phases considered viz. solid and fluid, differing in temperature. This is effected by describing each phase with its own governing equation. Further to the aforementioned, the governing equation set is written in terms of intrinsic volume-averaged material properties that are fully variant with respect to temperature. The heterogeneous solid phase is described with a porosity field varying from 0.39 to 0.99. The intent of the stated upper bound is to explicitly model typical packed bed near-wall phenomena such as wall-channelling and pebble-wall heat transfer as true to reality as possible, while maintaining scientific rigour. The set of coupled non-linear partial differential equations is solved via a locally preconditioned artificial compressibility method, where spatial discretisation is effected with a compact finite volume edge-based discretisation method. The latter is done in the interest of accuracy. Stabilisation is effected via JST scalar-valued artificial dissipation. This is the first instance in which an artificial compressibility algorithm is applied to modelling heat and fluid flow through heterogeneous porous materials. As a result of the aforementioned, calculation of the acoustic velocities, stabilisation scaling factors and allowable time-step sizes were revised. The developed technology is demonstrated by application to the modelling of SANA test cases, i.e. natural convective flow inside a heated porous axisymmetric cavity. Predicted results are shown to be within 12% of experimental measurements in all cases, while having an average deviation of only 3%. / Dissertation (MEng)--University of Pretoria, 2008. / Mechanical and Aeronautical Engineering / unrestricted

Philosophiae Doctor - PhD / The framework agreement in the year 2000 by the international community to launch Generation IV program with 10 nations, to develop safe and reliable nuclear reactors gave rise to the increased interest in the studies of SiC and the effect of different irradiations on solids. Silicon carbide is a preferred candidate used in harsh environments due to its excellent properties such as high chemical stability and strong mechanical strength. The PBMR technology promises to be the safest of all nuclear technology that have been developed before. SiC has been considered one candidate material being used in the fabrication of pebble bed fuel cell. Its outstanding physical and chemical properties even at high temperatures render it a material of choice for the future nuclear industry as whole and PBMR in particular. Due to the hostile environment created during the normal reactor operation, some of these excellent properties are compromised. In order to use this material in such conditions, it should have at least a near perfect crystal lattice to prevent defects that could compromise its strength and performance. A proper knowledge of the behavior of radiation-induced defects in SiC is vital. During irradiation, a disordered crystal lattice occurs, resulting in the production of defects in the lattice. These defects lead to the degradation of these excellent properties of a particular material. This thesis investigates the effects of various radiation effects to 6H-SiC. We have investigated the effects of radiation induced damages to SiC, with a description of the beds and the importance of the stability of the SiC-C interface upon the effects of radiations (y-rays, hot neutrons). The irradiated samples of 6H-SiC have been studied with various spectroscopic and structural characterization methods. The surface sensitive techniques such as Raman spectroscopy, UV-Vis, Photoluminescence and Atomic Force Microscopy will be employed in several complimentary ways to probe the effect of irradiation on SiC. The obtained results are discussed in details.