Ilmakehan hiukkasmaisten ioniyhdisteiden online-mittaus

Ilmakehän hiukkaset aiheuttavat merkittäviä ympäristö- ja terveyshaittoja, joihin vaikuttaa hiukkasten kemiallinen koostumus. Hiukkasten kemiallisesta koostumuksesta voidaan hankkia tietoa hiukkasmittauksilla. Työn tavoitteena oli rakentaa jatkuvatoiminen mittausjärjestelmä, jolla voidaan mitata ilmakehän aerosolihiukkasten ionipitoisuuksia. Mittausjärjestelmä koostuu virtuaali-impaktorista, denuderputkista, PILS-laitteesta ja ionikromatografista. Näyteilmavirtaus kulkee ensin esierottimena toimivan virtuaali-impaktorm lävitse, joka poistaa aerodynaamiselta halkaisijaltaan 1,3 um:a suuremmat hiukkaset ilmavirtauksesta. Näyte, joka sisältää 1,3 um:a pienemmät hiukkaset kulkee virtuaali-impaktorin jälkeen kahden 1 % KOH-liuoksella käsitellyn denuderputken lävitse, joilla poistetaan hiukkasmääritystä häiritsevät happamat kaasut näytevirtauksesta. Denuderputkien jälkeen ilmavirtaus saapuu PILS-laitteeseen, jossa hiukkaset kasvatetaan vesihöyryn avulla aerosolipisaroiksi, törmäytetään keräyslevyyn ja sekoitetaan sen jälkeen sisäistä standardiainetta (NaBr) sisältavään kuljetusliuokseen. Kuljetusliuoksen ja aerosolipisaroiden seoksesta koostuva näyteliuos johdetaan PILS-laitteesta ionikromatografille analysoitavaksi. Mittausjärjestelmään liitetyllä ionikromatografilla voidaan analysoida neljä näytetta tunnissa. Näytteistä määritettävät anionit olivat sulfaatti, nitraatti ja kloridi. PILS-mittausjärjestelmää testattiin keräämällä hiukkasnäytteitä samanaikaisesti PILS-laitteella sekä virtuaali-impaktorilla tai suodatinkeräimellä ja vertaamalla saatuja aerosolihiukkasten sulfaattipitoisuuksia keskenään. Testeissa kerättiin joko VOAG-laitteella tuotettuja ammoniumsulfaattihiukkasia tai laboratorion huoneilmaa. PILS-mittausjärjestelmällä mitatut sulfaattipitoisuudet olivat 2-20 % pienempia kuin suodatinkeraimella mitatut, kun kerättiin keinotekoisesti tuotettuja ammoniumsulfaattihiukkasia. Huoneilmaa kerättäessä PILS-mittausjärjestelmällä saadut pitoisuudet olivat noin 10 % pienempiä kuin suodatinkeräystulokset. Koetulokset osoittivat, että mittausjärjestelmällä saadaan analysoiduksi luotettavasti hiukkasten sulfaattipitoisuudet.

Hakevirrasta otettavan näytteen luotettavuus ja näytteenottimen kehittäminen

Työn tavoitteena oli saada tietoa yleisesti partikkelivirtauksessa tapahtuvasta näytteenotosta ja näytteenottomenetelmistä. Työssä tutkittiin UPM-Kymmenen Kaukaan tehtaan nykyisen ostohakkeen automaattisen näytteenottimen toimintaa sekä sen ottamien näytteiden luotettavuutta kokeellisesti ja tilastollisesti. Lopuksi tutkimuksessa ideoitiin uusi näytteenottimen konstruktio. Uuden konstruktion suunnittelun lähtökohtana oli, että näytteenottimen konstruktiolla tulisi voida ottaa toistuvasti ja turvallisesti luotettavia hakenäytteitä aiheuttamatta muulle vastaanottoaseman toiminnalle häiriöitä Tutkimusta varten tehtiin eri haketoimittajien kanssa koenäytteenottoja. Hakenäytteet otettiin kolmessa eri haketoimituksen vaiheessa niiden keskinäistä vertailua varten. Hakenäytteistä määritettiin kuiva-ainepitoisuus ja laatuanalyysin tekoa varten palakokojakauma koeseulonnoilla. Palakokojakauma-analyysistä saatuja jakaumapainoprosenttiosuuksien ja niistä laskettujen laatuarvojen pohjalta tutkittiin automaattisen näytteenottimen ottaman näytteen luotettavuutta ja näytteenottimen toimintaa. Konstruointityössä noudatettiin pääpiirteittäin ohjeistoa VDI 2221. Uuden näytteenottimen suunnittelutyön tavoitteet määriteltiin tutkimuksessa tehtyjen päätelmien ja kokeiden pohjalta. Uudelle näytteenottimen konstruktiolle etsittiin toteutuskelpoisia ratkaisuja jo olemassa olevista laitteistoista ja uusista ideoista. Uudet konstruktiovaihtoehdot suunniteltiin noudattamaan näytteenottoteoriaa ja sijoituspaikan asettamia vaatimuksia.

Bayesian Estimation of Noise

In mathematical modeling the estimation of the model parameters is one of the most common problems. The goal is to seek parameters that fit to the measurements as well as possible. There is always error in the measurements which implies uncertainty to the model estimates. In Bayesian statistics all the unknown quantities are presented as probability distributions. If there is knowledge about parameters beforehand, it can be formulated as a prior distribution. The Bays’ rule combines the prior and the measurements to posterior distribution. Mathematical models are typically nonlinear, to produce statistics for them requires efficient sampling algorithms. In this thesis both Metropolis-Hastings (MH), Adaptive Metropolis (AM) algorithms and Gibbs sampling are introduced. In the thesis different ways to present prior distributions are introduced. The main issue is in the measurement error estimation and how to obtain prior knowledge for variance or covariance. Variance and covariance sampling is combined with the algorithms above. The examples of the hyperprior models are applied to estimation of model parameters and error in an outlier case.

Conservation Laws in Cellular Automata

Conservation laws in physics are numerical invariants of the dynamics of a system. In cellular automata (CA), a similar concept has already been defined and studied. To each local pattern of cell states a real value is associated, interpreted as the “energy” (or “mass”, or . . . ) of that pattern.The overall “energy” of a configuration is simply the sum of the energy of the local patterns appearing on different positions in the configuration. We have a conservation law for that energy, if the total energy of each configuration remains constant during the evolution of the CA. For a given conservation law, it is desirable to find microscopic explanations for the dynamics of the conserved energy in terms of flows of energy from one region toward another. Often, it happens that the energy values are from non-negative integers, and are interpreted as the number of “particles” distributed on a configuration. In such cases, it is conjectured that one can always provide a microscopic explanation for the conservation laws by prescribing rules for the local movement of the particles. The onedimensional case has already been solved by Fuk´s and Pivato. We extend this to two-dimensional cellular automata with radius-0,5 neighborhood on the square lattice. We then consider conservation laws in which the energy values are chosen from a commutative group or semigroup. In this case, the class of all conservation laws for a CA form a partially ordered hierarchy. We study the structure of this hierarchy and prove some basic facts about it. Although the local properties of this hierarchy (at least in the group-valued case) are tractable, its global properties turn out to be algorithmically inaccessible. In particular, we prove that it is undecidable whether this hierarchy is trivial (i.e., if the CA has any non-trivial conservation law at all) or unbounded. We point out some interconnections between the structure of this hierarchy and the dynamical properties of the CA. We show that positively expansive CA do not have non-trivial conservation laws. We also investigate a curious relationship between conservation laws and invariant Gibbs measures in reversible and surjective CA. Gibbs measures are known to coincide with the equilibrium states of a lattice system defined in terms of a Hamiltonian. For reversible cellular automata, each conserved quantity may play the role of a Hamiltonian, and provides a Gibbs measure (or a set of Gibbs measures, in case of phase multiplicity) that is invariant. Conversely, every invariant Gibbs measure provides a conservation law for the CA. For surjective CA, the former statement also follows (in a slightly different form) from the variational characterization of the Gibbs measures. For one-dimensional surjective CA, we show that each invariant Gibbs measure provides a conservation law. We also prove that surjective CA almost surely preserve the average information content per cell with respect to any probability measure.

Modeling of electrolyte sorption – from phase equilibria to dynamic separation systems

In this thesis, general approach is devised to model electrolyte sorption from aqueous solutions on solid materials. Electrolyte sorption is often considered as unwanted phenomenon in ion exchange and its potential as an independent separation method has not been fully explored. The solid sorbents studied here are porous and non-porous organic or inorganic materials with or without specific functional groups attached on the solid matrix. Accordingly, the sorption mechanisms include physical adsorption, chemisorption on the functional groups and partition restricted by electrostatic or steric factors. The model is tested in four Cases Studies dealing with chelating adsorption of transition metal mixtures, physical adsorption of metal and metalloid complexes from chloride solutions, size exclusion of electrolytes in nano-porous materials and electrolyte exclusion of electrolyte/non-electrolyte mixtures. The model parameters are estimated using experimental data from equilibrium and batch kinetic measurements, and they are used to simulate actual single-column fixed-bed separations. Phase equilibrium between the solution and solid phases is described using thermodynamic Gibbs-Donnan model and various adsorption models depending on the properties of the sorbent. The 3-dimensional thermodynamic approach is used for volume sorption in gel-type ion exchangers and in nano-porous adsorbents, and satisfactory correlation is obtained provided that both mixing and exclusion effects are adequately taken into account. 2-Dimensional surface adsorption models are successfully applied to physical adsorption of complex species and to chelating adsorption of transition metal salts. In the latter case, comparison is also made with complex formation models. Results of the mass transport studies show that uptake rates even in a competitive high-affinity system can be described by constant diffusion coefficients, when the adsorbent structure and the phase equilibrium conditions are adequately included in the model. Furthermore, a simplified solution based on the linear driving force approximation and the shrinking-core model is developed for very non-linear adsorption systems. In each Case Study, the actual separation is carried out batch-wise in fixed-beds and the experimental data are simulated/correlated using the parameters derived from equilibrium and kinetic data. Good agreement between the calculated and experimental break-through curves is usually obtained indicating that the proposed approach is useful in systems, which at first sight are very different. For example, the important improvement in copper separation from concentrated zinc sulfate solution at elevated temperatures can be correctly predicted by the model. In some cases, however, re-adjustment of model parameters is needed due to e.g. high solution viscosity.

Geochemistry and water quality of Lake Qarun, Egypt

Water geochemistry is a very important tool for studying the water quality in a given area. Geology and climate are the major natural factors controlling the chemistry of most natural waters. Anthropogenic impacts are the secondary sources of contamination in natural waters. This study presents the first integrative approach to the geochemistry and water quality of surface waters and Lake Qarun in the Fayoum catchment, Egypt. Moreover, geochemical modeling of Lake Qarun was firstly presented. The Nile River is the main source of water to the Fayoum watershed. To investigate the quality and geochemistry of this water, water samples from irrigation canals, drains and Lake Qarun were collected during the period 2010‒2013 from the whole Fayoum drainage basin to address the major processes and factors governing the evolution of water chemistry in the investigation area. About 34 physicochemical quality parameters, including major ions, oxygen isotopes, trace elements, nutrients and microbiological parameters were investigated in the water samples. Multivariable statistical analysis was used to interpret the interrelationship between the different studied parameters. Geochemical modeling of Lake Qarun was carried out using Hardie and Eugster’s evolutionary model and a model simulated by PHREEQC software. The crystallization sequence during evaporation of Lake Qarun brine was also studied using a Jänecke phase diagram involving the system Na‒K‒Mg‒ Cl‒SO4‒H2O. The results show that the chemistry of surface water in the Fayoum catchment evolves from Ca- Mg-HCO3 at the head waters to Ca‒Mg‒Cl‒SO4 and eventually to Na‒Cl downstream and at Lake Qarun. The main processes behind the high levels of Na, SO4 and Cl in downstream waters and in Lake Qarun are dissolution of evaporites from Fayoum soils followed by evapoconcentration. This was confirmed by binary plots between the different ions, Piper plot, Gibb’s plot and δ18O results. The modeled data proved that Lake Qarun brine evolves from drainage waters via an evaporation‒crystallization process. Through the precipitation of calcite and gypsum, the solution should reach the final composition "Na–Mg–SO4–Cl". As simulated by PHREEQC, further evaporation of lake brine can drive halite to precipitate in the final stages of evaporation. Significantly, the crystallization sequence during evaporation of the lake brine at the concentration ponds of the Egyptian Salts and Minerals Company (EMISAL) reflected the findings from both Hardie and Eugster’s evolutionary model and the PHREEQC simulated model. After crystallization of halite at the EMISAL ponds, the crystallization sequence during evaporation of the residual brine (bittern) was investigated using a Jänecke phase diagram at 35 °C. This diagram was more useful than PHREEQC for predicting the evaporation path especially in the case of this highly concentrated brine (bittern). The predicted crystallization path using a Jänecke phase diagram at 35 °C showed that halite, hexahydrite, kainite and kieserite should appear during bittern evaporation. Yet the actual crystallized mineral salts were only halite and hexahydrite. The absence of kainite was due to its metastability while the absence of kieserite was due to opposed relative humidity. The presence of a specific MgSO4.nH2O phase in ancient evaporite deposits can be used as a paleoclimatic indicator. Evaluation of surface water quality for agricultural purposes shows that some irrigation waters and all drainage waters have high salinities and therefore cannot be used for irrigation. Waters from irrigation canals used as a drinking water supply show higher concentrations of Al and suffer from high levels of total coliform (TC), fecal coliform (FC) and fecal streptococcus (FS). These waters cannot be used for drinking or agricultural purposes without treatment, because of their high health risk. Therefore it is crucial that environmental protection agencies and the media increase public awareness of this issue, especially in rural areas.