Biomass-derived Oxymethylene Ethers as Diesel Additives: A Thermodynamic Analysis

Conversion of biomass for production of liquid fuels can help in reducing the greenhouse gas (GHG) emissions which are predominantly generated by combustion of fossil fuels. Adding oxymethylene ethers (OMEs) in conventional diesel fuel has the potential to reduce soot formation during the combustion in a diesel engine. OMEs are downstream products of syngas, which can be generated by the gasification of biomass. In this research, a thermodynamic analysis has been conducted through development of data intensive process models of all the unit operations involved in production of OMEs from biomass. Based on the developed model, the key process parameters affecting the OMEs production including equivalence ratio, H2/CO ratio, and extra water flow rate were identified. This was followed by development of an optimal process design for high OMEs production. It was found that for a fluidized bed gasifier with heat capacity of 28 MW, the conditions for highest OMEs production are at an air amount of 317 tonne/day, at H2/CO ratio of 2.1, and without extra water injection. At this level, the total OMEs production is 55 tonne/day (13 tonne/day OME3 and 9 tonne/day OME4). This model would further be used in a techno-economic assessment study of the whole biomass conversion chain to determine the most attractive pathways.

A multi-proxy chronological reconstruction of palaeosalinity in the eastern Limfjord, Denmark

The Jutland peninsula in northern Denmark is home to the Limfjord, one of the largest estuarine bodies of water in the region. Human inhabitance of the Limfjord’s surrounding coastlines stretches back further than 7,800 cal BP, with anthropogenic influence on the landscape beginning approximately 6,000 cal BP. Understanding how the Limfjord as a system has changed throughout time is useful in comprehending subsistence patterns and anthropogenic influence. This research is part of a larger project aimed at discerning subsistence patterns and environmental change in the region. Following the Younger Dryas, as the Fennoscandian ice sheet began to melt, Denmark experienced isostatic rebound, which contributed to the complex sea level history in the region. Between ice melt and isostatic rebound, the Jutland peninsula experienced many transgression and regression events. Connections to surrounding seas have shifted throughout time, with most attention focused on the western connection of the Limfjord with the North Sea, which has experienced numerous closures and subsequent re-openings throughout the Holocene. Furthermore, the Limfjord-North Sea connection has been the focal point of research because of the west to east water flow in the system, and the present day higher salinity in the west compared to the east. Little to no consideration has been paid to the influence of the Kattegat and Baltic on the Limfjord until now. A 10m sediment core was taken from Sebbersund (near Nibe, Limfjord), along the connection between the Limfjord and the Kattegat in the east to understand how the eastern part of the system has changed and differed from changes observed in the west. The Sebbersund sequence spans a majority of the Holocene, from 9600 cal BP to 1030 cal BP, determined via radiocarbon dating of terrestrial macrofossils and bulk sediment. Over this time period palaeoenvironmental conditions were reconstructed through the use of geochemical analyses (13C, 15N, C:N), physical sediment analyses, dinoflagellate cyst abundances and molluscan analyses. apart from two instances of low salinity, one at the top and one at the bottom of the core, the sequence has a strong marine signal for a majority of the Holocene. Radiocarbon dating of bulk sediment samples showed the presence of old carbon in the system, creating an age offset between 1,300 ± 200 and 2,800 ± 200 calibrated 14C years compared to the age-depth curve based on the terrestrial macrofossils. This finding, along with the strong marine influence in the system, discerned through geochemical data, dinoflagellate cyst and mollusc counts, is important for obtaining accurate radiocarbon ages in the region and stresses the importance of understanding both the marine and freshwater reservoir effects. The marine dominance in the eastern Limfjord differs from the west, which is characterized by a number of freshwater events when the North Sea connection was closed off during the Holocene. The eastern connection was open to the Kattegat throughout a large portion of the Holocene, with influx of open ocean water entering the system during periods of higher sea level.

Fluxes of organic contaminants from the river catchment into, through and out of the Humber Estuary, UK

This paper summarises the work done on the distribution and reactivity of organic contaminants (simazine, atrazine, lindane, fluoranthene, pyrene, PCB 77, PCB 118) in the Humber Estuary and associated major rivers, as part of the LOIS programme. The preliminary flux calculations show that the most important contributors of selected organic contaminants were the rivers Trent (45% of simazine, 20% of atrazine), Aire (30% of simazine and 33% of atrazine), Don (36 and 37% of fluoranthene and pyrene) and Ouse (18% of fluoranthene and pyrene). For lindane and PCBs, the Aire and Ouse were the key sources. The water flow in all the rivers shows strong seasonal variations, as do the contaminant concentrations. As a result, the mean daily fluxes of these contaminants displayed a strong seasonality. Annual mean concentrations of simazine and atrazine decreased by more than 50% over the period 1994-1995 in most of the rivers, probably as a result of their restricted use in the UK. Mass balance calculations show that the Humber is a sink for atrazine, lindane, PCB 77 and PCB 118, although the degree of removal is generally much lower for atrazine and lindane than for PCB 77 and PCB 118. Mass balance results also show that the Humber can either be a source of fluoranthene and pyrene (in the suspended particulate phase), or a sink (in the dissolved phase), although overall the Humber acts as sink. The budget exercise represents an attempt to quantify the input and output of selected organic contaminants from catchment to ocean. However, due to limited data and assumptions involved in calculations, the estimates should be considered as an order of magnitude approximation. Further improvement both in resolution and accuracy is required.

Methodologies for a sustainable development of estuarine ecosystems

As zonas costeiras, estuarinas e lagunares são consideradas áreas muito produtivas e dotadas de grande biodiversidade sendo, por isso, consideradas de elevado valor ecológico e económico. No entanto, nas últimas décadas tem vindo a verificar-se um aumento da contaminação destes ecossistemas como resultado de diversas actividades antrópicas. As abordagens actualmente disponíveis para avaliação do impacto da poluição em ecossistemas estuarinos e lagunares apresentam diversos tipos de lacunas, pelo que é importante desenvolver metodologias mais eficazes com organismos autóctones. Neste contexto, o objectivo central desta dissertação consistiu em desenvolver e validar métodos ecologicamente relevantes para avaliação da contaminação estuarina e dos seus efeitos, utilizando o góbio-comum (Pomatoschistus microps), quer como organismo-teste quer como espécie sentinela, devido à importante função que desempenha nas cadeias tróficas de diversos estuários da costa Portuguesa. A Ria de Aveiro foi seleccionada como área de estudo principalmente pelo facto de possuir zonas com diferentes tipos de contaminação predominante e de haver conhecimento científico de base abundante e de elevada qualidade sobre este ecosistema. Na primeira fase do estudo, foram investigados os efeitos agudos de dois hidrocarbonetos aromáticos policíclicos (HAPs) (benzo[a]pireno e antraceno), de um fuel-óleo e de dois metais (cobre e mercúrio) em P. microps, utilizando ensaios laboratoriais baseados em biomarcadores e em parâmetros comportamentais, os quais foram avaliados utilizando um dispositivo expressamente desenvolvido para o efeito, designado por speed performance device (SPEDE). Como biomarcadores foram utilizados parâmetros envolvidos em funções fisiológicas determinantes para a sobrevivência e desempenho dos animais (neurotransmissão, obtenção de energia, destoxificação e defesas anti-oxidantes), nomeadamente a actividade das enzimas acetilcolinesterase, lactato desidrogenase, CYP1A1, glutationa S-transferases, glutationa reductase, glutationa peroxidase, superóxido dismutase, catalase, tendo ainda sido determinados os níveis de peroxidação lipídica como indicador de danos oxidativos. De forma global, os resultados indicaram que os agentes e a mistura testados têm a capacidade de interferir com a função neurológica, de alterar as vias utilizadas para obtenção de energia celular, induzir as defesas antioxidantes e, no caso do cobre e do mercúrio, de causarem peroxidação lipídica. Foram ainda obtidas relações concentração-resposta a nível dos parâmetros comportamentais testados, nomeadamente a capacidade de nadar contra a corrente e a distância percorrida a nadar contra o fluxo de água, sugerindo que os agentes testados podem, por exemplo, diminuir a capacidade de fuga aos predadores, as probabilidades de captura de presas e o sucesso reprodutivo. Na segunda fase, tendo sido já adaptadas técnicas para determinação de vários biomarcadores em P. microps e estudada a sua resposta a dois grupos de poluentes particularmente relevantes em ecossistemas estuarinos e lagunares (metais e HAPs), foi efectuado um estudo de monitorização utilizando P. microps como bioindicador e que incluiu diversos parâmetros ecológicos e ecotoxicológicos, nomedamente: 20 parâmetros indicativos da qualidade da água e do sedimento, concentração de 9 metais em sedimentos e no corpo de P. microps, 8 biomarcadores e 2 índices de condição na espécie seleccionada. A amostragem foi efectuada em quatro locais da Ria de Aveiro, um considerado como referência (Barra) e três com diferentes tipos predominantes de contaminação (Vagueira, Porto de Aveiro e Cais do Bico), sazonalmente, durante um ano. Os resultados obtidos permitiram uma caracterização ecotoxicológica dos locais, incluindo informação sobre a qualidade da água, concentrações de contaminantes ambientais prioritários nos sedimentos e nos tecidos de P. microps, capacidade desta espécie para bioacumular metais, efeitos exercidos pelas complexas misturas de poluentes presentes em cada uma das zonas de amostragem nesta espécie e possíveis consequências para a população. A análise multivariada permitiu analisar de forma integrada todos os resultados, proporcionando informação que não poderia ser obtida analisando os dados de forma compartimentalizada. Em conclusão, os resultados obtidos no âmbito desta dissertação indicam que P. microps possui características adequadas para ser utilizado como organismoteste em ensaios laboratoriais (e.g. abundância, fácil manutenção, permite a determinação de diferentes tipos de critérios de efeito utilizando um número relativamente reduzido de animais, entre outras) e como organismo sentinela em estudos de monitorização da poluição e da qualidade ambiental, estando portanto de acordo com estudos de menor dimensão previamente efectuados. O trabalho desenvolvido permitiu ainda adaptar a P. microps diversas técnicas bioquímicas vulgarmente utilizadas como biomarcadores em Ecotoxicologia e validá-las quer no laboratório quer em cenários reais; desenvolver um novo bioensaio, utilizando um dispositivo de teste especialmente concebido para peixes epibentónicos baseado na performance natatória de uma espécie autóctone e em biomarcadores; relacionar os efeitos a nível bioquímico com parâmetros comportamentais que ao serem afectados podem reduzir de forma drástica e diversificada (e.g. aumento da mortalidade, diminuição do sucesso reprodutivo, redução do crescimento) a contribuição individual para a população. Finalmente, foi validada uma abordagem multidisciplinar, combinando metodologias ecológicas, ecotoxicológicas e químicas que, quando considerada de forma integrada utilizando análises de estatística multivariada, fornece informação científica da maior relevância susceptível de ser utilizada como suporte a medidas de conservação e gestão em estuários e sistemas lagunares.

Modeling the Western Iberian margin circulation: present and future

The purpose of this work is to carry out a comprehensive study on the Western Iberian Margin (WIM) circulation my means of numerical modeling, and to postulate what this circulation will be in the future. The adopted approach was the development of a regional ocean model configuration with high resolution, capable of reproducing the largeand small-scale dynamics of the coastal transition zone. Four numerical experiences were carried out according to these objectives: (1) a climatological run, in order to study the system’s seasonal behavior and its mean state; (2) a run forced with real winds and fluxes for period 2001-2011 in order to study the interannual variability of the system; (3) a run forced with mean fields from Global Climate Models (GCMs) for the present, in order to validate GCMs as adequate forcing for regional ocean modeling; (4) a similar run (3) for period 2071-2100, in order to assess possible consequences of a future climate scenario on the hydrography and dynamics of the WIM. Furthermore, two Lagrangian particle studies were carried out: one in order to trace the origin of the upwelled waters along the WIM; the other in order to portrait the patterns of larval dispersal, accumulation and connectivity. The numerical configuration proved to be adequate in the reproduction of the system’s mean state, seasonal characterization and an interannual variability study. There is prevalence of poleward flow at the slope, which coexists with the upwelling jet during summer, although there is evidence of its shifting offshore, and which is associated with the Mediterranean Water flow at deeper levels, suggesting a barotropic character. From the future climate scenario essay, the following conclusions were drawn: there is general warming and freshening of upper level waters; there is still poleward tendency, and despite the upwellingfavorable winds strengthening in summer the respective coastal band becomes more restricted in width and depth. In what concerns larval connectivity and dispersion along the WIM, diel vertical migration was observed to increase recruitment throughout the domain, and while smooth coastlines are better suppliers, there is higher accumulation where the topography is rougher.

Impacto da herbivoria no sucesso do estabelecimento de novas pradarias de ervas marinhas

Dissertação mest., Biologia Marinha, Universidade do Algarve, 2009

Coletores de distribuição e sua otimização hidráulica, aplicados a uma instalação de produção de água arrefecida em sistemas de AVAC ( Fórum Picoas)

Trabalho Final de Mestrado para obtenção do grau de Mestre em Engenharia Mecânica

Evolução hidrogeoquímica das águas sulfúreas de Entre-os-Rios: avaliação preliminar

O principal objectivo desta dissertação foi avaliar a evolução hidrogeoquímica das águas minerais de Entre‐os‐Rios, para uma melhor compreensão do modelo hidrogeológico conceptual deste sistema hidromineral. Desta forma, foram coligidos diversos dados hidroquímicos, quer das nascentes clássicas (Torre, Curveira, Ardias, Arcos Esquerda e Arcos Direita), quer do furo Barbeitos. Foram compiladas e analisadas oitenta análises hidroquímicas no período 1938‐2012, incluindo características organolépticas (cheiro, cor e turbidez), diversas propriedades físico-químicas (temperatura, pH, condutividade eléctrica, sulfuração, etc), os principais catiões e aniões (bicarbonato, fluoreto, sódio, lítio, etc) e os elementos vestigiários (chumbo, tungsténio, boro, etc). Além disso, foram integrados os dados históricos disponíveis de finais do século XIX e inícios do século XX. Foram igualmente reunidos e discutidos alguns dados isotópicos (oxigénio‐18, deutério e trítio). O recurso hidromineral de Entre‐os‐Rios está condicionado pela litologia e pelas condições tectónicas. As análises químicas revelaram que as águas minerais de Entre‐os‐Rios apresentam uma estabilidade química nos últimos 100 anos. Estas águas são orto‐ a hipertermais, fracamente mineralizadas, de reacção alcalina, sulfídricas, bicarbonatadas sódicas, carbonatadas e muito fluoretadas. Estas características são claramente distintas das águas normais da região. As águas de Entre‐os‐Rios são muito semelhantes às águas minerais de S. Vicente e, em diversos parâmetros, bastante diferentes das águas minerais das Caldas da Saúde. Os dados isotópicos permitiram concluir que as águas de Entre‐os‐Rios têm uma origem meteórica, com um tempo de residência longo no sistema aquífero, e que são, muito provavelmente, submodernas, com uma recarga anterior a 1952. Na região de Entre‐os‐Rios coexistem três sistemas aquíferos, um sistema granítico superficial, livre e um sistema livre a semi‐confinado, ambos com circulação de águas normais, e um sistema aquífero granítico, profundo, confinado, com circulação de água mineral.

Investigações hidrogeológicas da sondagem CC3 do aquífero termomineral de Chaves: implicações para o modelo conceptual

O presente estudo centra‐se na conceptualização de pormenor do modelo de circulação do aquífero termomineral de Chaves na sua zona de descarga no campo hidromineral e geotérmico de Chaves (Norte de Portugal). Para tal, utilizam‐se as informações resultantes da bibliografia disponível, da construção das captações de água termomineral AC1 e AC2, já existentes, e, principalmente, as informações obtidas a partir dos trabalhos de pesquisa, prospecção e construção da captação CC3, obra desenvolvida no ano de 2014 para reforço de caudal das Caldas de Chaves. Incidindo fundamentalmente na análise de perfis geofísicos, de parâmetros de perfuração, “cuttings” e diagrafias diferidas inerentes à sondagem de pesquisa CC3, e da sua posterior transformação em captação, integrando‐se posteriormente toda a informação daí resultante, o estudo culmina na apresentação de um modelo conceptual de pormenor para a circulação de águas tipo “Chaves” na zona de descarga que permite, com considerável robustez, à luz dos dados conhecidos à presente data, o melhor conhecimento do aquífero para futuros projectos de desenvolvimento dos recursos hidrominerais e geotérmicos de Chaves.

Modélisation bayésienne avec des splines du comportement moyen d'un échantillon de courbes

Cette thèse porte sur l'analyse bayésienne de données fonctionnelles dans un contexte hydrologique. L'objectif principal est de modéliser des données d'écoulements d'eau d'une manière parcimonieuse tout en reproduisant adéquatement les caractéristiques statistiques de celles-ci. L'analyse de données fonctionnelles nous amène à considérer les séries chronologiques d'écoulements d'eau comme des fonctions à modéliser avec une méthode non paramétrique. Dans un premier temps, les fonctions sont rendues plus homogènes en les synchronisant. Ensuite, disposant d'un échantillon de courbes homogènes, nous procédons à la modélisation de leurs caractéristiques statistiques en faisant appel aux splines de régression bayésiennes dans un cadre probabiliste assez général. Plus spécifiquement, nous étudions une famille de distributions continues, qui inclut celles de la famille exponentielle, de laquelle les observations peuvent provenir. De plus, afin d'avoir un outil de modélisation non paramétrique flexible, nous traitons les noeuds intérieurs, qui définissent les éléments de la base des splines de régression, comme des quantités aléatoires. Nous utilisons alors le MCMC avec sauts réversibles afin d'explorer la distribution a posteriori des noeuds intérieurs. Afin de simplifier cette procédure dans notre contexte général de modélisation, nous considérons des approximations de la distribution marginale des observations, nommément une approximation basée sur le critère d'information de Schwarz et une autre qui fait appel à l'approximation de Laplace. En plus de modéliser la tendance centrale d'un échantillon de courbes, nous proposons aussi une méthodologie pour modéliser simultanément la tendance centrale et la dispersion de ces courbes, et ce dans notre cadre probabiliste général. Finalement, puisque nous étudions une diversité de distributions statistiques au niveau des observations, nous mettons de l'avant une approche afin de déterminer les distributions les plus adéquates pour un échantillon de courbes donné.

Modélisation statistique de l’érosion de cavitation d’une turbine hydraulique selon les paramètres d’opération

Dans une turbine hydraulique, la rotation des aubes dans l’eau crée une zone de basse pression, amenant l’eau à passer de l’état liquide à l’état gazeux. Ce phénomène de changement de phase est appelé cavitation et est similaire à l’ébullition. Lorsque les cavités de vapeur formées implosent près des parois, il en résulte une érosion sévère des matériaux, accélérant de façon importante la dégradation de la turbine. Un système de détection de l’érosion de cavitation à l’aide de mesures vibratoires, employable sur les turbines en opération, a donc été installé sur quatre groupes turbine-alternateur d’une centrale et permet d’estimer précisément le taux d’érosion en kg/ 10 000 h. Le présent projet vise à répondre à deux objectifs principaux. Premièrement, étudier le comportement de la cavitation sur un groupe turbine-alternateur cible et construire un modèle statistique, dans le but de prédire la variable cavitation en fonction des variables opératoires (tels l’ouverture de vannage, le débit, les niveaux amont et aval, etc.). Deuxièmement, élaborer une méthodologie permettant la reproductibilité de l’étude à d’autres sites. Une étude rétrospective sera effectuée et on se concentrera sur les données disponibles depuis la mise à jour du système en 2010. Des résultats préliminaires ont mis en évidence l’hétérogénéité du comportement de cavitation ainsi que des changements entre la relation entre la cavitation et diverses variables opératoires. Nous nous proposons de développer un modèle probabiliste adapté, en utilisant notamment le regroupement hiérarchique et des modèles de régression linéaire multiple.

An integrated study on the hydrogeology of Bharathapuzha river basin, South West coast of India

The present work deals with the An integrated study on the hydrogeology of Bharathapuzha river basin ,south west coast of india. To study the spatial and temporal behaviour of the groundwater system of the Bharathapuzha river basin.To discover the sub-surface parameter by ground resistivity surveys.T o determine the groundwater quality of the Bharathapuzha river basin for the different seasons {pre monsoon and post monsoon with reference to the domestic and irrigational water quality standards.Present study will provide a good database on the hydrogeological aspects within the river basin.The study area covers l7 block Panchayats. Of these, Chitoor block is ‘over exploited’, Kollengode, Trithala, and Palakkad are ‘critical’ in category and Kuttippuram and Sreekrishnapuram blocks are ‘semi critical’ in terms of groundwater development.Comparison of Geomorphology map with drainage map shows that the geomorphology has a clear control on the drainage net work of the basin. The structural hill area shows a highest drainage network, where as pediment shows lowest drainage network.There are many discontinuous lineament in the Bharathapuzha river basin which can be connected by a straight line.Ground water flow directions are generally towards the western portions of the study area. From the northern region Water flows towards the central and also water from the eastern and southern side confluences at the centre and move towards western side of the basin.The positive correlation of transmissivity and storativity values show good aquifer conditions exists in the present study area .

Settlement history of a mountain oasis in Northern Oman

To unravel the settlement history of oases in northern Oman, data on topography, the agricultural setting, water and soil parameters and archaeological findings were collected in the Wadi Bani Awf with its head oasis Balad Seet. Data collection lasted from April 2000 to April 2003 and was based on the establishment of a 3D-georeferenced map of the oasis comprising all its major infrastructural and agronomic features. At today's Balad Seet, a total of 8.8 ha are planted to 2,800 date palms and 4.6 ha are divided into 385 small fields dedicated to wheat, barley, sorghum, oats, alfalfa, garlic, onion, lime and banana. Radiocarbon dating of charcoal in the lower part of the main terrace system determined its age to 911 ± 43 years. Monthly flow measurements of four major aflaj systems showed a total maximum flow of 32 m^3 h^-1 with the largest falaj contributing 78% of the total flow. During drought periods, average water flow decreased by 3% per month, however, with significant differences between the spring systems. The analysis of the tritium/^3helium ratio in the water led to an estimated water age of up to 10 years. In combination with the flow data, this provided insights into the elasticity of the spring flow over time. The use of the natural resources of the Wadi Bani Awf by a pastoral population started probably in the early 3rd millennium BC. The first permanent settlement might have been established at Balad Seet during the first part of the 1st millennium BC. Presumably it was initiated by settlers from al-Hamra, a village at the southern foot of the Hajar mountains. Given an abundant und stable flow of springs, even in periods of drought, the construction of Balad Seet's first irrigation systems may have occurred at this early time. The combination of topographic, agricultural, hydro-pedological and archaeological data allowed assessment of the carrying capacity of this oasis over the three millennia of its likely existence. The changing scarcity of land and water and the eventual optimisation of their use by different aflaj constructions have been major driving forces for the development and apparent relativeley stable existence of this oasis.

Transport and distribution of lindane and simazine in a riverine environment: measurements in bed sediments and modelling

Aquatic sediments often remove hydrophobic contaminants from fresh waters. The subsequent distribution and concentration of contaminants in bed sediments determines their effect on benthic organisms and the risk of re-entry into the water and/or leaching to groundwater. This study examines the transport of simazine and lindane in aquatic bed sediments with the aim of understanding the processes that determine their depth distribution. Experiments in flume channels (water flow of 10 cm s(-1)) determined the persistence of the compounds in the absence of sediment with (a) de-ionised water and (b) a solution that had been in contact with river sediment. In further experiments with river bed sediments in light and dark conditions, measurements were made of the concentration of the compounds in the overlying water and the development of bacterial/algal biofilms and bioturbation activity. At the end of the experiments, concentrations in sediments and associated pore waters were determined in sections of the sediment at 1 mm resolution down to 5 mm and then at 10 mm resolution to 50 mm depth and these distributions analysed using a sorption-diffusion-degradation model. The fine resolution in the depth profile permitted the detection of a maximum in the concentration of the compounds in the pore water near the surface, whereas concentrations in the sediment increased to a maximum at the surface itself. Experimental distribution coefficients determined from the pore water and sediment concentrations indicated a gradient with depth that was partly explained by an increase in organic matter content and specific surface area of the solids near the interface. The modelling showed that degradation of lindane within the sediment was necessary to explain the concentration profiles, with the optimum agreement between the measured and theoretical profiles obtained with differential degradation in the oxic and anoxic zones. The compounds penetrated to a depth of 40-50 rum over a period of 42 days. (C) 2004 Society of Chemical Industry.

Prediction leaching of potassium using the convective-dispersive and the convective log-normal transfer function models

There is increasing concern about soil enrichment with K+ and subsequent potential losses following long-term application of poor quality water to agricultural land. Different models are increasingly being used for predicting or analyzing water flow and chemical transport in soils and groundwater. The convective-dispersive equation (CDE) and the convective log-normal transfer function (CLT) models were fitted to the potassium (K+) leaching data. The CDE and CLT models produced equivalent goodness of fit. Simulated breakthrough curves for a range of CaCl2 concentration based on parameters of 15 mmol l(-1) CaCl2 were characterised by an early peak position associated with higher K+ concentration as the CaCl2 concentration used in leaching experiments decreased. In another method, the parameters estimated from 15 mmol l(-1) CaCl2 solution were used for all other CaCl2 concentrations, and the best value of retardation factor (R) was optimised for each data set. A better prediction was found. With decreasing CaCl2 concentration the value of R is required to be more than that measured (except for 10 mmol l(-1) CaCl2), if the estimated parameters of 15 mmol l(-1) CaCl2 are used. The two models suffer from the fact that they need to be calibrated against a data set, and some of their parameters are not measurable and cannot be determined independently.