Mathematical modeling of pressurized system behaviour with entrapped air

The presence of entrapped air in pressurized hydraulic systems is considered a critical condition for the infrastructure security, due to the transient pressure enhancement related with its dynamic behaviour, similar to non-linear spring action. A mathematical model for the assessment of hydraulic transients resulting from rapid pressurizations, under referred condition is presented. Water movement was modeled through the elastic column theory considering a moving liquid boundary and the entrapped air pocket as lumped gas mass, where the acoustic effects are negligible. The method of characteristics was used to obtain the numerical solution of the liquid flow. The resulting model is applied to an experimental set-up having entrapped air in the top of a vertical pipe section and the numerical results are analyzed.

A mathematical view of water table fluctuations in a shallow aquifer in Brazil

Detailed monitoring of the groundwater table can provide important data about both short- and long-term aquifer processes, including information useful for estimating recharge and facilitating groundwater modeling and remediation efforts. In this paper, we presents results of 4 years (2002 to 2005) of monitoring groundwater water levels in the Rio Claro Aquifer using observation wells drilled at the Rio Claro campus of São Paulo State University in Brazil. The data were used to follow natural periodic fluctuations in the water table, specifically those resulting from earth tides and seasonal recharge cycles. Statistical analyses included methods of time-series analysis using Fourier analysis, cross-correlation, and R/S analysis. Relationships could be established between rainfall and well recovery, as well as the persistence and degree of autocorrelation of the water table variations. We further used numerical solutions of the Richards equation to obtain estimates of the recharge rate and seasonable groundwater fluctuations. Seasonable soil moisture transit times through the vadose zone obtained with the numerical solution were very close to those obtained with the cross-correlation analysis. We also employed a little-used deep drainage boundary condition to obtain estimates of seasonable water table fluctuations, which were found to be consistent with observed transient groundwater levels during the period of study.

Freeze-drying microscopy in mathematical modeling of a biomaterial freeze-drying

Transplantation brings hope for many patients. A multidisciplinary approach on this field aims at creating biologically functional tissues to be used as implants and prostheses. The freeze-drying process allows the fundamental properties of these materials to be preserved, making future manipulation and storage easier. Optimizing a freeze-drying cycle is of great importance since it aims at reducing process costs while increasing product quality of this time-and-energy-consuming process. Mathematical modeling comes as a tool to help a better understanding of the process variables behavior and consequently it helps optimization studies. Freeze-drying microscopy is a technique usually applied to determine critical temperatures of liquid formulations. It has been used in this work to determine the sublimation rates of a biological tissue freeze-drying. The sublimation rates were measured from the speed of the moving interface between the dried and the frozen layer under 21.33, 42.66 and 63.99 Pa. The studied variables were used in a theoretical model to simulate various temperature profiles of the freeze-drying process. Good agreement between the experimental and the simulated results was found.

Analysis and mathematical modeling of wave-structure interaction

The aim of this thesis, included within the THESEUS project, is the development of a mathematical model 2DV two-phase, based on the existing code IH-2VOF developed by the University of Cantabria, able to represent together the overtopping phenomenon and the sediment transport. Several numerical simulations were carried out in order to analyze the flow characteristics on a dike crest. The results show that the seaward/landward slope does not affect the evolution of the flow depth and velocity over the dike crest whereas the most important parameter is the relative submergence. Wave heights decrease and flow velocities increase while waves travel over the crest. In particular, by increasing the submergence, the wave height decay and the increase of the velocity are less marked. Besides, an appropriate curve able to fit the variation of the wave height/velocity over the dike crest were found. Both for the wave height and for the wave velocity different fitting coefficients were determined on the basis of the submergence and of the significant wave height. An equation describing the trend of the dimensionless coefficient c_h for the wave height was derived. These conclusions could be taken into consideration for the design criteria and the upgrade of the structures. In the second part of the thesis, new equations for the representation of the sediment transport in the IH-2VOF model were introduced in order to represent beach erosion while waves run-up and overtop the sea banks during storms. The new model allows to calculate sediment fluxes in the water column together with the sediment concentration. Moreover it is possible to model the bed profile evolution. Different tests were performed under low-intensity regular waves with an homogeneous layer of sand on the bottom of a channel in order to analyze the erosion-deposition patterns and verify the model results.

Finite-difference schemes compared for wave-deformation characteristics in mathematical modeling of two-dimensional long-wave propagation /

"October 1970."

GIS-integrated mathematical modeling of social phenomena at macro- and micro- levels—a multivariate geographically-weighted regression model for identifying locations vulnerable to hosting terrorist safe-houses: France as case study

Adaptability and invisibility are hallmarks of modern terrorism, and keeping pace with its dynamic nature presents a serious challenge for societies throughout the world. Innovations in computer science have incorporated applied mathematics to develop a wide array of predictive models to support the variety of approaches to counterterrorism. Predictive models are usually designed to forecast the location of attacks. Although this may protect individual structures or locations, it does not reduce the threat—it merely changes the target. While predictive models dedicated to events or social relationships receive much attention where the mathematical and social science communities intersect, models dedicated to terrorist locations such as safe-houses (rather than their targets or training sites) are rare and possibly nonexistent. At the time of this research, there were no publically available models designed to predict locations where violent extremists are likely to reside. This research uses France as a case study to present a complex systems model that incorporates multiple quantitative, qualitative and geospatial variables that differ in terms of scale, weight, and type. Though many of these variables are recognized by specialists in security studies, there remains controversy with respect to their relative importance, degree of interaction, and interdependence. Additionally, some of the variables proposed in this research are not generally recognized as drivers, yet they warrant examination based on their potential role within a complex system. This research tested multiple regression models and determined that geographically-weighted regression analysis produced the most accurate result to accommodate non-stationary coefficient behavior, demonstrating that geographic variables are critical to understanding and predicting the phenomenon of terrorism. This dissertation presents a flexible prototypical model that can be refined and applied to other regions to inform stakeholders such as policy-makers and law enforcement in their efforts to improve national security and enhance quality-of-life.

Utilización de biomarcadores para la evaluación integrada de la calidad del agua de la cuenca del río Suquía.Utilization of biomarkers for the integrated evaluation of water quality of the Suquía River Basin.

En los últimos años el grupo de investigación ha caracterizado la calidad de los cuerpos de agua, detectando gradientes de calidad ambiental que se manifiestan por la aparición de tóxicos que generan cambios en la calidad del agua, sedimento y especialmente en la biota. El presente proyecto propone una evaluación integrada de la contaminación de los recursos hídricos abarcando el estudio de las causas de la contaminación y las respuestas biológicas que se producen ante dichas alteraciones. Por ello nuestro objetivo principal es evaluar la contaminación de los recursos acuáticos a través del desarrollo y aplicación de diversas herramientas. El enfoque multidisciplinario del mismo permitirá integrar los análisis de las diferentes áreas de estudio, con el fin de brindarán soluciones al problema generalizado de la contaminación acuática. El fin último es alcanzar una mejor valoración de los cambios temporales y espaciales en la calidad de las cuencas hídricas. Se propone analizar la presencia y concentración de tóxicos en agua, suelo, sedimento y biota conjuntamente con la evaluación de los efectos sobre los organismos a diferentes niveles de organización, lo que permitirá determinar y seleccionar los indicadores más eficientes de la contaminación ambiental. Se desarrollarán biomarcadores moleculares basados en expresión genética en la biota acuática y biomarcadores morfológicos, histológicos y bioquímicos. Además se evaluará el efecto del estrés tóxico sobre los hábitos natatorios de peces utilizando un software recientemente desarrollado por el grupo. También se intensificará la búsqueda de biomarcadores específicos de disrupción endocrina en peces tales como aromatasa, vitelogenina, parámetros estáticos y dinámicos de espermatozoides y comportamiento de cortejo y cópula. Así, el plan propuesto brindará un conjunto de herramientas, con diverso grado de complejidad, para ser usadas en la correcta evaluación del impacto ambiental de las actividades humanas. El grupo de trabajo pretende realizar una fuerte contribución a los conocimientos de base para crear conciencia sobre el problema de las diferentes cuencas en estudio, a fin de llevar a cabo un control sostenido de la calidad de los recursos acuáticos.

Caracterización de la calidad del agua y de la ictiofauna de tres embalses de la cuenca del Rio Tercero (Córdoba, Argentina). Characterization of water quality and ichthyofauna in three reservoirs in Río Tercero basin (Córdoba, Argentina).

Los embalses constituyen reservorios de agua artificiales que se forman para brindar múltiples propósitos. La generación de energía, la provisión de agua para consumo y riego, la atenuación de crecientes y los usos recreacionales, figuran como los más destacados. La calidad del agua y el grado de eutrofización, condicionan la realización de diferentes usos con consecuencias directas e indirectas para la Salud Pública y el recurso íctico. La eutrofización es precisamente uno de los problemas más recurrentes en los embalses de la provincia de Córdoba. Las hipótesis son: 1-El incremento en la concentración de nutrientes, principalmente fósforo y nitrógeno, favorecen la producción de florecimientos algales, con consecuencias negativas sobre la sociedad y el ambiente; 2 - El estrés ambiental producto del grado de eutrofización de los embalses aumenta la susceptibilidad de Odontesthes bonariensis, situación que contribuye al desarrollo de parásitos y a la disminución de su condición corporal. Los objetivos generales del proyecto son: a) Evaluar la variabilidad temporal y espacial de la calidad del agua de tres embalses de la cuenca del río Tercero; b) Estudiar diferentes características biológicas de la ictiofauna presente. Los reservorios a estudiar son Arroyo Corto (64,57W, 32,22S; 357 ha), Río Tercero (64,38W, 32,17S; 4600 ha) y Piedras Moras (64,28W, 32,18S; 830 ha). La superficie, cantidad de tributarios y características limnológicas que presentan estos embalses son contrastantes. Se determinará de manera estacional y en diferentes sitios de muestreo de cada embalse la calidad del agua para distintos usos, a través de análisis físico-químicos y biológicos según metodología estándar, realizando mediciones in situ y en laboratorio. Se evaluará el grado de eutrofia de los reservorios a través de la concentración de nutrientes, clorofila-a y transparencia de agua. Para evaluar la distribución espacial de clorofila-a se integraran SIG-sensores remotos y se determinarán modelos geoestadísticos para predecir florecimientos algales su composición y su relación con riesgos potenciales para la salud y el recurso íctico. Se determinará la diversidad y riqueza de la ictiofauna y la abundancia poblacional (captura por unidad de esfuerzo), la condición corporal, el crecimiento y el estado sanitario del pejerrey O. bonariensis. Para ello se utilizaran artes de pesca pasivos (red de enmalle, trasmallo), activos (red de arrastre) y aparejos de pesca (espineles). Por último, se determinará la abundancia y distribución de Limnoperma fortunei en el embalse Río Tercero. Los resultados obtenidos permitirán evaluar la calidad del agua, el estado trófico y prevenir los riesgos para la salud pública y animal en una de las cuencas de alto impacto antrópico del país. Por su parte, se obtendrán datos sobre distribución, ecología y condición de la ictiofauna, permitiendo el uso sustentable del recurso pesquero. Se obtendrán herramientas que facilitarán la gestión sistémica y la toma de decisiones en el manejo del recurso agua, su saneamiento y la determinación de áreas críticas de riesgo.

Influence of water quality and kind of metal in the secondary cooling zone of casting process

Magdeburg, Univ., Fak. für Verfahrens- und Systemtechnik, Diss., 2012

Benthic macroinvertebrates as bioindicators of water quality in an Atlantic forest fragment

The objective of this study was to evaluate benthic macroinvertebrate communities as bioindicators of water quality in five streams located in the "Reserva Particular do Patrimônio Natural" (RPPN) Mata Samuel de Paula and its surroundings, in the municipality of Nova Lima near the city of Belo Horizonte, Minas Gerais State, southeastern Brazil. This region has been strongly modified by human activities including mining and urbanization. Samples were collected in the field every three months between August 2004 and November 2005, totaling six samplings in the rainy and dry seasons. This assessment identified one area ecologically altered while the other sampling sites were found to be minimally disturbed systems, with well-preserved ecological conditions. However, according to the Biological Monitoring Work Party (BMWP) and the Average Score Per Taxon (ASPT) indices, all sampling sites had excellent water quality. A total of 14,952 organisms was collected, belonging to 155 taxa (148 Insecta, two Annelida, one Bivalvia, one Decapoda, one Planariidae, one Hydracarina, and one Entognatha). The most abundant benthic groups were Chironomidae (47.9%), Simuliidae (12.3%), Bivalvia (7.5%), Decapoda (6.1%), Oligochaeta (5.2%), Polycentropodidae (3.7%), Hydropsychidae (2.5%), Calamoceratidae (1.8%), Ceratopogonidae (1.7%), and Libellulidae (1.2%). The assessment of the benthic functional feeding groups showed that 34% of the macroinvertebrates were collector-gatherers, 29% predators, 24% collector-filterers, 8% shredders, and 5% scrapers. The RPPN Mata Samuel de Paula comprises diversified freshwater habitats that are of great importance for the conservation of many benthic taxa that are intolerant to organic pollution.

Social dynamics of Water Quality, 2004

Water fact sheet for Iowa Department of Natural Resources and the Geological Bureau.

Fuzzy logic applied to the modeling of water dynamics in an Oxisol in northeastern Brazil

Modeling of water movement in non-saturated soil usually requires a large number of parameters and variables, such as initial soil water content, saturated water content and saturated hydraulic conductivity, which can be assessed relatively easily. Dimensional flow of water in the soil is usually modeled by a nonlinear partial differential equation, known as the Richards equation. Since this equation cannot be solved analytically in certain cases, one way to approach its solution is by numerical algorithms. The success of numerical models in describing the dynamics of water in the soil is closely related to the accuracy with which the water-physical parameters are determined. That has been a big challenge in the use of numerical models because these parameters are generally difficult to determine since they present great spatial variability in the soil. Therefore, it is necessary to develop and use methods that properly incorporate the uncertainties inherent to water displacement in soils. In this paper, a model based on fuzzy logic is used as an alternative to describe water flow in the vadose zone. This fuzzy model was developed to simulate the displacement of water in a non-vegetated crop soil during the period called the emergency phase. The principle of this model consists of a Mamdani fuzzy rule-based system in which the rules are based on the moisture content of adjacent soil layers. The performances of the results modeled by the fuzzy system were evaluated by the evolution of moisture profiles over time as compared to those obtained in the field. The results obtained through use of the fuzzy model provided satisfactory reproduction of soil moisture profiles.