Queueing Models with Vacations and Working Vacations

The objective of the study of \Queueing models with vacations and working vacations" was two fold; to minimize the server idle time and improve the e ciency of the service system. Keeping this in mind we considered queueing models in di erent set up in this thesis. Chapter 1 introduced the concepts and techniques used in the thesis and also provided a summary of the work done. In chapter 2 we considered an M=M=2 queueing model, where one of the two heterogeneous servers takes multiple vacations. We studied the performance of the system with the help of busy period analysis and computation of mean waiting time of a customer in the stationary regime. Conditional stochastic decomposition of queue length was derived. To improve the e ciency of this system we came up with a modi ed model in chapter 3. In this model the vacationing server attends the customers, during vacation at a slower service rate. Chapter 4 analyzed a working vacation queueing model in a more general set up. The introduction of N policy makes this MAP=PH=1 model di erent from all working vacation models available in the literature. A detailed analysis of performance of the model was provided with the help of computation of measures such as mean waiting time of a customer who gets service in normal mode and vacation mode.

Studies on laser induced optogalvanic effect in certain gas discharges

Electrical gas discharges have been the subject of numerous investigations from the last century due to their growing interest in technological and fundamental applications. Absorption of electromagnetic radiation by a gas discharge result into a change in electrical impedance due to a significant perturbations in the steady state population of excited levels and the degree of ionization. This change in impedance produced by resonant absorption of radiation is known as optogalvanic COG) effect. where as that is produced by injecting electrons in to the discharge by photoelectric emission is usually known as photoemission optogalvanic (FOG) effect. With the development of lasers and sophisticated electronic equipment. these effects have established their importance in analytical and spectroscopic measurements. The present thesis deals with the work carried out by the author in the field optogalvanic effect during the past few years at the Department of Physics in Cochin University of Science| and "Fechnology. The results and the observation are summarized in nine chapters and the references to the literature is made at the end of each chapter

Verfahren zur echtzeitfähigen Simulation dynamischer Emissionsverläufe ausgewählter Schadstoffe von Ottomotoren

Im Rahmen dieser Arbeit werden Modellbildungsverfahren zur echtzeitfähigen Simulation wichtiger Schadstoffkomponenten im Abgasstrom von Verbrennungsmotoren vorgestellt. Es wird ein ganzheitlicher Entwicklungsablauf dargestellt, dessen einzelne Schritte, beginnend bei der Ver-suchsplanung über die Erstellung einer geeigneten Modellstruktur bis hin zur Modellvalidierung, detailliert beschrieben werden. Diese Methoden werden zur Nachbildung der dynamischen Emissi-onsverläufe relevanter Schadstoffe des Ottomotors angewendet. Die abgeleiteten Emissionsmodelle dienen zusammen mit einer Gesamtmotorsimulation zur Optimierung von Betriebstrategien in Hybridfahrzeugen. Im ersten Abschnitt der Arbeit wird eine systematische Vorgehensweise zur Planung und Erstellung von komplexen, dynamischen und echtzeitfähigen Modellstrukturen aufgezeigt. Es beginnt mit einer physikalisch motivierten Strukturierung, die eine geeignete Unterteilung eines Prozessmodells in einzelne überschaubare Elemente vorsieht. Diese Teilmodelle werden dann, jeweils ausgehend von einem möglichst einfachen nominalen Modellkern, schrittweise erweitert und ermöglichen zum Abschluss eine robuste Nachbildung auch komplexen, dynamischen Verhaltens bei hinreichender Genauigkeit. Da einige Teilmodelle als neuronale Netze realisiert werden, wurde eigens ein Verfah-ren zur sogenannten diskreten evidenten Interpolation (DEI) entwickelt, das beim Training einge-setzt, und bei minimaler Messdatenanzahl ein plausibles, also evidentes Verhalten experimenteller Modelle sicherstellen kann. Zum Abgleich der einzelnen Teilmodelle wurden statistische Versuchs-pläne erstellt, die sowohl mit klassischen DoE-Methoden als auch mittels einer iterativen Versuchs-planung (iDoE ) generiert wurden. Im zweiten Teil der Arbeit werden, nach Ermittlung der wichtigsten Einflussparameter, die Model-strukturen zur Nachbildung dynamischer Emissionsverläufe ausgewählter Abgaskomponenten vor-gestellt, wie unverbrannte Kohlenwasserstoffe (HC), Stickstoffmonoxid (NO) sowie Kohlenmono-xid (CO). Die vorgestellten Simulationsmodelle bilden die Schadstoffkonzentrationen eines Ver-brennungsmotors im Kaltstart sowie in der anschließenden Warmlaufphase in Echtzeit nach. Im Vergleich zur obligatorischen Nachbildung des stationären Verhaltens wird hier auch das dynami-sche Verhalten des Verbrennungsmotors in transienten Betriebsphasen ausreichend korrekt darge-stellt. Eine konsequente Anwendung der im ersten Teil der Arbeit vorgestellten Methodik erlaubt, trotz einer Vielzahl von Prozesseinflussgrößen, auch hier eine hohe Simulationsqualität und Ro-bustheit. Die Modelle der Schadstoffemissionen, eingebettet in das dynamische Gesamtmodell eines Ver-brennungsmotors, werden zur Ableitung einer optimalen Betriebsstrategie im Hybridfahrzeug ein-gesetzt. Zur Lösung solcher Optimierungsaufgaben bieten sich modellbasierte Verfahren in beson-derer Weise an, wobei insbesondere unter Verwendung dynamischer als auch kaltstartfähiger Mo-delle und der damit verbundenen Realitätsnähe eine hohe Ausgabequalität erreicht werden kann.

Numerical Feasibility Study for Treated Wastewater Recharge as a Tool to Impede Saltwater Intrusion in the Coastal Aquifer of Gaza – Palestine

The ongoing depletion of the coastal aquifer in the Gaza strip due to groundwater overexploitation has led to the process of seawater intrusion, which is continually becoming a serious problem in Gaza, as the seawater has further invaded into many sections along the coastal shoreline. As a first step to get a hold on the problem, the artificial neural network (ANN)-model has been applied as a new approach and an attractive tool to study and predict groundwater levels without applying physically based hydrologic parameters, and also for the purpose to improve the understanding of complex groundwater systems and which is able to show the effects of hydrologic, meteorological and anthropogenic impacts on the groundwater conditions. Prediction of the future behaviour of the seawater intrusion process in the Gaza aquifer is thus of crucial importance to safeguard the already scarce groundwater resources in the region. In this study the coupled three-dimensional groundwater flow and density-dependent solute transport model SEAWAT, as implemented in Visual MODFLOW, is applied to the Gaza coastal aquifer system to simulate the location and the dynamics of the saltwater–freshwater interface in the aquifer in the time period 2000-2010. A very good agreement between simulated and observed TDS salinities with a correlation coefficient of 0.902 and 0.883 for both steady-state and transient calibration is obtained. After successful calibration of the solute transport model, simulation of future management scenarios for the Gaza aquifer have been carried out, in order to get a more comprehensive view of the effects of the artificial recharge planned in the Gaza strip for some time on forestall, or even to remedy, the presently existing adverse aquifer conditions, namely, low groundwater heads and high salinity by the end of the target simulation period, year 2040. To that avail, numerous management scenarios schemes are examined to maintain the ground water system and to control the salinity distributions within the target period 2011-2040. In the first, pessimistic scenario, it is assumed that pumping from the aquifer continues to increase in the near future to meet the rising water demand, and that there is not further recharge to the aquifer than what is provided by natural precipitation. The second, optimistic scenario assumes that treated surficial wastewater can be used as a source of additional artificial recharge to the aquifer which, in principle, should not only lead to an increased sustainable yield of the latter, but could, in the best of all cases, revert even some of the adverse present-day conditions in the aquifer, i.e., seawater intrusion. This scenario has been done with three different cases which differ by the locations and the extensions of the injection-fields for the treated wastewater. The results obtained with the first (do-nothing) scenario indicate that there will be ongoing negative impacts on the aquifer, such as a higher propensity for strong seawater intrusion into the Gaza aquifer. This scenario illustrates that, compared with 2010 situation of the baseline model, at the end of simulation period, year 2040, the amount of saltwater intrusion into the coastal aquifer will be increased by about 35 %, whereas the salinity will be increased by 34 %. In contrast, all three cases of the second (artificial recharge) scenario group can partly revert the present seawater intrusion. From the water budget point of view, compared with the first (do nothing) scenario, for year 2040, the water added to the aquifer by artificial recharge will reduces the amount of water entering the aquifer by seawater intrusion by 81, 77and 72 %, for the three recharge cases, respectively. Meanwhile, the salinity in the Gaza aquifer will be decreased by 15, 32 and 26% for the three cases, respectively.

Belief Propagation and Revision in Networks with Loops

Local belief propagation rules of the sort proposed by Pearl(1988) are guaranteed to converge to the optimal beliefs for singly connected networks. Recently, a number of researchers have empirically demonstrated good performance of these same algorithms on networks with loops, but a theoretical understanding of this performance has yet to be achieved. Here we lay the foundation for an understanding of belief propagation in networks with loops. For networks with a single loop, we derive ananalytical relationship between the steady state beliefs in the loopy network and the true posterior probability. Using this relationship we show a category of networks for which the MAP estimate obtained by belief update and by belief revision can be proven to be optimal (although the beliefs will be incorrect). We show how nodes can use local information in the messages they receive in order to correct the steady state beliefs. Furthermore we prove that for all networks with a single loop, the MAP estimate obtained by belief revisionat convergence is guaranteed to give the globally optimal sequence of states. The result is independent of the length of the cycle and the size of the statespace. For networks with multiple loops, we introduce the concept of a "balanced network" and show simulati.

Sugammadex versus neostigmina en la reversión de la relajación neuromuscular en neurocirugía. Experimento clínico. Reporte preliminar

Existen grupos quirúrgicos específicos donde es mandatorio el uso de relajantes neuromusculares no despolarizantes, como es el caso de los pacientes llevados a procedimiento de neurocirugía; debido a sus características particulares el rocuronio es una buena alternativa para este tipo de procedimientos, ya sea en bolos o en infusión. Sin embargo la relajación residual y los efectos adversos de los medicamentos para revertir la relajación neuromuscular deben tenerse en cuenta en este grupo de pacientes en particular. El presente trabajo busca comparar la reversión de la relajación de infusiones de rocuronio, con Neostigmina mas Atropina vs la reversión con Sugammadex en pacientes llevados a manejo quirúrgico de lesiones supratentoriales por parte del servicio de neurocirugía de la Fundación Cardioinfantil, evaluando complicaciones durante la administración de los medicamentos y 24 horas posoperatorias, así como los tiempos para extubación y salida de salas de cirugía. Estudio con características de experimento prospectivo, aleatorizado, ciego, controlado. En este documento se realiza un reporte preliminar descriptivo de 14 pacientes reclutados hasta la actualidad.

Tasa de depreciación endógena y crecimiento económico

En este trabajo se estudian las caracter´ısticas de los incentivos para invertir en bienes de capital con mayor durabilidad. Se considera el hecho de que las economías que invierten en bienes de capital menos duraderos pueden tener menor crecimiento econ´omico. Se elabora un modelo te´orico en el que la tasa de depreciaci´on es endógena y su reducci´on refleja innovaciones tecnológicas. Las tecnologías se diferencian por la tasa de depreciaci´on y aquellas que son más durables son m´as costosas. Esta estructura puede conducir a dos estados estacionarios debido a la complementariedad entre el capital y la tasa de depreciación. El principal resultado del documento es que se encuentran trampas de pobreza asociadas con altas tasas de depreciación.

Tasa de depreciación endógena y crecimiento económico

En este trabajo se estudian las características de los incentivos para invertir en bienes de capital con mayor durabilidad. Se considera el hecho de que las economías que invierten en bienes de capital menos duraderos pueden tener menor crecimiento económico. Se elabora un modelo teórico en el que la tasa de depreciación es endógena y su reducción refleja innovaciones tecnológicas. Las tecnologías se diferencian por la tasa de depreciación y aquellas que son más durables son más costosas. Esta estructura puede conducir a dos estados estacionarios debido a la complementariedad entre el capital y la tasa de depreciación. El principal resultado del documento es que se encuentran trampas de pobreza asociadas con altas tasas de depreciación.

Resonancia magnética cardiaca: medidas lineales y volumétricas en adultos sanos

Introducción: La gran mayoría de las medidas de normalidad utilizadas para la interpretación de resonancia cardiaca son extrapoladas de las medidas de ecocardiografía. Los limitados registros de medidas de normalidad se encuentran ajustados en poblaciones extranjeras, no hay registros en latinoamericanos. Objetivo: Determinar las dimensiones cardiacas utilizando resonancia magnética en una población de personas sin antecedente médicos con repercusión cardiaca para lograr una muestra de valores que permitan ajustar las medidas de normalidad utilizadas por nuestro servicio. Materiales y métodos: se analizaron 45 sujetos sanos con edad comprendida entre los 21 y 45 años, las adquisiciones se realizaron utilizando un equipo de RM de 1,5 teslas, el análisis de las imágenes se realizó mediante el programa Cardiac Volume Vx. Se evaluaron múltiples parámetros morfofuncionales a través de análisis estadístico por medio del sistema SPSS versión 23. Resultados: Mediciones obtenidas de ventrículo izquierdo principales fueron volumen diastólico en mujeres de 62 ml +/- 7.1 y en hombres de 65 ml +/- 11.2 y fracción de eyección de 60 % +/- 5 en mujeres y de 62 % +/- 9 en hombres. En ventrículo derecho el volumen diastólico final se encontró 81.8 ml +/- 14.6 en mujeres y 100 ml +/- 24.8 en hombres y fracción de eyección de 53 % +/- 17 en mujeres y de 45 % +/- 12 en hombres. Volumen de fin de diástole de 50 +/- 12.7 ml en mujeres y de 49 ml +/- 19 ml en hombres y fracción de eyección de aurícula izquierda de 55 % +/- 0.08 en mujeres y de 50 % +/- 0.07 en hombres. Volumen de fin de diástole de 44.1 ml +/- 18.5 en mujeres y de 49.2 ml +/- 22.9 en hombres y fracción de eyección de aurícula derecha de 50 % +/- 11 en mujeres y de 45 % +/- 8 en hombres. Se obtuvieron otras medidas lineales y volumétricas adicionales de cavidades cardiacas y de grandes vasos supracardiacos. Conclusiones: se describen los valores de referencia de los parámetros morfofuncionales de las cavidades cardiacas y de vasos supracardiacos. El sexo fue tenido en cuenta como covariable relacionada con la modificación de los parámetros evaluados. Se sugieren variaciones en las medidas de cavidades cardiacas para la población estudiada relacionada con aclimatación crónica a la altitud de la ciudad de Bogotá.

Biological nutrient removal in SBR technology: from floccular to granular sludge

Biological nutrient removal has been studied and applied for decades in order to remove nitrogen and phosphorus from wastewater. However, more anthropogenic uses and the continued demand for water have forced the facilities to operate at their maximum capacity. Therefore, the goal of this thesis is to obtain more compact systems for nutrient removal from domestic wastewater. In this sense, optimization and long-term stabilization of high volume exchange ratios reactors, treating higher volumes of wastewater, have been investigated. With the same target, aerobic granular sludge was proposed as a reliable alternative to reduce space and increase loading rates in treatment plants. However, the low organic loading rate from low-strength influents (less than 1 Kg COD•m-3d-1) results in slower granular formation and a longer time to reach a steady state. Because of that, different methodologies and operational conditions were investigated in order to enhance granulation and nutrient removal from domestic wastewater.

Estabilitat conformacional de variants de la ribonucleasa A: pressió i temperatura com a inductors dels desplegament proteic

A fi d'analitzar la contribució de la regió C-terminal proposada com a iniciadora del plegament (CFIS 106-118) a l'estabilitat de l'RNasa A, els residus alifàtics d'aquesta regió es van substituir, mitjançant mutagènesi dirigida, per altres residus en els quals la cadena lateral alifàtica era rogressivament escurçada. La major part de les substitucions projectades suposaven delecions no disruptives de grups metil(è). A més, es va reemplaçar la Tyr115 per un Trp, de manera que, potencialment, s'introduïa una única sonda fluorescent, no desestabilitzant, per tal de seguir els canvis conformacionals que es poguessin generar en la regió durant el procés de legament/desplegament de la proteïna. Tant els paràmetres cinètics, com els espectres d'FTIR i CD, determinats per cadascuna de les ribonucleases variants, indiquen que els reemplaçaments aminoacídics efectuats presenten, en general, poc o cap efecte en l'estructura nativa i en l'activitat de l'enzim. Es va emprar l'espectroscòpia d'absorció a l'ultraviolat de quarta derivada, la fluorescència (per la variant amb Trp) i l'espectroscòpia d'infraroig per transformada de Fourier, per tal de seguir i caracteritzar, en condicions d'equilibri, les transicions conformacionals de cada variant en funció de la pressió i de la temperatura. Els resultats es van comparar amb els que es van obtenir per la proteïna salvatge. Per determinar més a fons les característiques del procés de desplegament de la variant Y115W, les transicions de desnaturalització induïdes per urea d'aquesta variant i de la proteïna salvatge, van ésser examinades per mitjà d'electroforesi en gradient d'urea i espectroscòpia de fluorescència. Curiosament, els canvis conformacionals que resulten de la desnaturalització per pressió són molt semblants als que s'obtenen per temperatura. Enfront d'un augment gradual tant de pressió com de temperatura, l'estructura terciària i els elements d'estructura secundària de les proteïnes estudiades es perden de manera conjunta i reversible. Aquestes variacions estructurals que es promouen descriuen un procés de desplegament molt cooperatiu i en dos estats. Atès que ambdues tècniques (UV i FTIR) utilitzen cadascuna un règim de concentració proteica molt diferent, els resultats indiquen que el procés de desplegament per pressió i per temperatura és intramolecular. Els resultats obtinguts suggereixen que la hidrofobicitat i el volum de les cadenes laterals del CFIS, juntament amb les interaccions de van der Waals entre elements d'estructura secundària intervenen de manera molt notable en l'estabilització de la proteïna. Entre els diferents aminoàcids alifàtics que pertanyen al CFIS C-terminal, la Val108 és el residu més important per tal de preservar la integritat estructural de l'estat natiu. Els reemplaçaments en aquesta posició causen petites alteracions conformacionals i una gran desestabilització de la proteïna (per exemple, el punt mig de la transició de desnaturalització per pressió i per temperatura de la variant V108G disminueix uns 592 MPa i 25ºC, respectivament, respecte a la proteïna salvatge). D'acord amb els resultats obtinguts, la variant Y115W ofereix una sonda útil per tal de seguir la cinètica de plegament/desplegament de l'RNasa A.

Cropping systems, carbon sequestration and erosion in Brazil, a review

Soils represent a large carbon pool, approximately 1500 Gt, which is equivalent to almost three times the quantity stored in terrestrial biomass and twice the amount stored in the atmosphere. Any modification of land use or land management can induce variations in soil carbon stocks, even in agricultural systems that are perceived to be in a steady state. Tillage practices often induce soil aerobic conditions that are favourable to microbial activity and may lead to a degradation of soil structure. As a result, mineralisation of soil organic matter increases in the long term. The adoption of no-tillage systems and the maintenance of a permanent vegetation cover using Direct seeding Mulch-based Cropping system or DMC, may increase carbon levels in the topsoil. In Brazil, no-tillage practices (mainly DMC), were introduced approximately 30 years ago in the south in the Parana state, primarily as a means of reducing erosion. Subsequently, research has begun to study the management of the crop waste products and their effects on soil fertility, either in terms of phosphorus management, as a means of controlling soil acidity, or determining how manures can be applied in a more localised manner. The spread of no-till in Brazil has involved a large amount of extension work. The area under no-tillage is still increasing in the centre and north of the country and currently occupies ca. 20 million hectares, covering a diversity of environmental conditions, cropping systems and management practices. Most studies of Brazilian soils give rates of carbon storage in the top 40 cm of the soil of 0.4 to 1.7 t C ha(-1) per year, with the highest rates in the Cerrado region. However, caution must be taken when analysing DMC systems in terms of carbon sequestration. Comparisons should include changes in trace gas fluxes and should not be limited to a consideration of carbon storage in the soil alone if the full implications for global warming are to be assessed.

The influence of Fe-rich coatings on the dissolution of anorthite at pH 2.6

Surface coatings are very common on mineral grains in soils but most laboratory dissolution experiments are carried out on pristine, uncoated mineral grains. An experiment designed to unambiguously isolate the effect of surface coatings on mineral dissolution from any influence of solution saturation state is reported. Two aliquots of 53 to 63 mum anorthite feldspar powder were used. One was dissolved in pH 2.6 HCl, the other in pH 2.6 FeCl3 solution, both for similar to6000 h in flow-through reactors. An amorphous Fe-rich, Al-, Ca- and Si-free orange precipitate coated the anorthite dissolved in the FeCl3 solution. BET surface area of the anorthite increased from 0.16 to 1.65 m(2) g(-1) in the HCl experiment and to 3.89 m(2) g(-1) in the FeCl3 experiment. The increase in surface area in the HCl experiment was due to the formation of etch pits on the anorthite grain surface whilst the additional increase in the FeCl3 experiment was due to the micro- and meso-porous nature of the orange precipitate. This precipitate did not inhibit or slow the dissolution of the anorthite. Steady state dissolution rates for the anorthite dissolved in the HCl and FeCl3 were similar to2.5 and 3.2 X 10(-10) mol(feldspar) m(-2) s(-1) respectively. These rates are not significantly different after the cumulative uncertainty of 17% in their value due to uncertainty in the inputs parameters used in their calculation is taken into account. Results from this experiment support previous theoretical and inference-based conclusions that porous coatings should not inhibit mineral dissolution. Copyright (C) 2003 Elsevier Ltd.

Does reactive surface area depend on grain size? Results from pH 3, 25 circle C far-from-equilibrium flow-through dissolution experiments on anorthite and biotite

Laboratory determined mineral weathering rates need to be normalised to allow their extrapolation to natural systems. The principle normalisation terms used in the literature are mass, and geometric- and BET specific surface area (SSA). The purpose of this study was to determine how dissolution rates normalised to these terms vary with grain size. Different size fractions of anorthite and biotite ranging from 180-150 to 20-10 mu m were dissolved in pH 3, HCl at 25 degrees C in flow through reactors under far from equilibrium conditions. Steady state dissolution rates after 5376 h (anorthite) and 4992 h (biotite) were calculated from Si concentrations and were normalised to initial- and final- mass and geometric-, geometric edge- (biotite), and BET SSA. For anorthite, rates normalised to initial- and final-BET SSA ranged from 0.33 to 2.77 X 10(-10) mol(feldspar) m(-2) s(-1), rates normalised to initial- and final-geometric SSA ranged from 5.74 to 8.88 X 10(-10) mol(feldspar) m(-2) s(-1) and rates normalised to initial- and final-mass ranged from 0.11 to 1.65 mol(feldspar) g(-1) s(-1). For biotite, rates normalised to initial- and final-BET SSA ranged from 1.02 to 2.03 X 10(-12) mol(biotite) m(-2) s(-1), rates normalised to initial- and final-geometric SSA ranged from 3.26 to 16.21 X 10(-12) mol(biotite) m(-2) s(-1), rates normalised to initial- and final-geometric edge SSA ranged from 59.46 to 111.32 x 10(-12) mol(biotite) m(-2) s(-1) and rates normalised to initial- and final-mass ranged from 0.81 to 6.93 X 10(-12) mol(biotite) g(-1) s(-1). For all normalising terms rates varied significantly (p <= 0.05) with grain size. The normalising terms which gave least variation in dissolution rate between grain sizes for anorthite were initial BET SSA and initial- and final-geometric SSA. This is consistent with: (1) dissolution being dominated by the slower dissolving but area dominant non-etched surfaces of the grains and, (2) the walls of etch pits and other dissolution features being relatively unreactive. These steady state normalised dissolution rates are likely to be constant with time. Normalisation to final BET SSA did not give constant ratios across grain size due to a non-uniform distribution of dissolution features. After dissolution coarser grains had a greater density of dissolution features with BET-measurable but unreactive wall surface area than the finer grains. The normalising term which gave the least variation in dissolution rates between grain sizes for biotite was initial BET SSA. Initial- and final-geometric edge SSA and final BET SSA gave the next least varied rates. The basal surfaces dissolved sufficiently rapidly to influence bulk dissolution rate and prevent geometric edge SSA normalised dissolution rates showing the least variation. Simple modelling indicated that biotite grain edges dissolved 71-132 times faster than basal surfaces. In this experiment, initial BET SSA best integrated the different areas and reactivities of the edge and basal surfaces of biotite. Steady state dissolution rates are likely to vary with time as dissolution alters the ratio of edge to basal surface area. Therefore they would be more properly termed pseudo-steady state rates, only appearing constant because the time period over which they were measured (1512 h) was less than the time period over wich they would change significantly. (c) 2006 Elsevier Inc. All rights reserved.

Potassium leaching in undisturbed soil cores following surface applications of gypsum

Displacement studies on leaching of potassium (K+) were conducted under unsaturated steady state flow conditions in nine undisturbed soil columns (15.5 cm in diameter and 25 cm long). Pulses of K+ applied to columns of undisturbed soil were leached with distilled water or calcium chloride (CaCl2) at a rate of 18 mm h(-1). The movement of K+ in gypsum treated soil leached with distilled water was at a similar rate to that of the untreated soil leached with 15 mM CaCl2. The Ca2+ concentrations in the leachates were about 15 mM, the expected values for the dissolution of the gypsum. When applied K+ was displaced with the distilled water, K+ was retained in the top 10-12.5 cm depth of soil. In the undisturbed soil cores there is possibility of preferential flow and lack of K+ sorption. The application of gypsum and CaCl2 in the reclamation of sodic soils would be expected to leach K+ from soils. It can also be concluded that the use of sources of water for irrigation which have a high Ca2+ concentration can also lead to leaching of K+ from soil. Average effluent concentration of K+ during leaching period was 30.2 and 28.6 mg l(-1) for the gypsum and CaCl2 treated soils, respectively. These concentrations are greater than the recommended guideline of the World Health Organisation (12 mg K+ l(-1)).