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Добірка наукової літератури з теми "Hydrology Mathematical models"

Автор: Grafiati

Опубліковано: 4 червня 2021

Оновлено: 29 січня 2023

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Статті в журналах з теми "Hydrology Mathematical models"

1

Mulla, D. J. "Mathematical Models of Small Watershed Hydrology and Applications." Journal of Environmental Quality 32, no. 1 (January 2003): 374. http://dx.doi.org/10.2134/jeq2003.374a.

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2

Sawada, Yohei, and Risa Hanazaki. "Socio-hydrological data assimilation: analyzing human–flood interactions by model–data integration." Hydrology and Earth System Sciences 24, no. 10 (October 5, 2020): 4777–91. http://dx.doi.org/10.5194/hess-24-4777-2020.

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Abstract. In socio-hydrology, human–water interactions are simulated by mathematical models. Although the integration of these socio-hydrological models and observation data is necessary for improving the understanding of human–water interactions, the methodological development of the model–data integration in socio-hydrology is in its infancy. Here we propose applying sequential data assimilation, which has been widely used in geoscience, to a socio-hydrological model. We developed particle filtering for a widely adopted flood risk model and performed an idealized observation system simulatio

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3

Milks, Robert R., William C. Fonteno, and Roy A. Larson. "Hydrology of Horticultural Substrates: I. Mathematical Models for Moisture Characteristics of Horticultural Container Media." Journal of the American Society for Horticultural Science 114, no. 1 (January 1989): 48–52. http://dx.doi.org/10.21273/jashs.114.1.48.

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Abstract Moisture retention data were collected for five porous materials: soil, phenolic foam, and three combinations of commonly used media components. Two mathematical functions were evaluated for their ability to describe the water content–soil moisture relationship. A cubic polynomial function with linear parameters previously used on container media was compared to a closed-form nonlinear parameter model developed to describe water conductivity in mineral soils. In most tests for precision, adequacy, accuracy, and validation, the nonlinear function was superior to the simpler power serie

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4

Mańko, Robert, and Norbert Laskowski. "Comparative analysis of the effectiveness of the conceptual rainfall-runoff hydrological models on the selected rivers in Odra and Vistula basins." ITM Web of Conferences 23 (2018): 00025. http://dx.doi.org/10.1051/itmconf/20182300025.

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Identification of physical processes occurred in the watershed is one of the main tasks in hydrology. Currently the most efficient hydrological processes describing and forecasting tool are mathematical models. They can be defined as a mathematical description of relations between specified attributes of analysed object. It can be presented by: graphs, arrays, equations describing functioning of the object etc. With reference to watershed a mathematical model is commonly defined as a mathematical and logical relations, which evaluate quantitative dependencies between runoff characteristics and

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5

Sun, Si Miao, Chang Lei Dai, Hou Chu Liao, and Di Fang Xiao. "A Conceptual Model of Soil Moisture Movement in Seasonal Frozen Unsaturated Zone." Applied Mechanics and Materials 90-93 (September 2011): 2612–18. http://dx.doi.org/10.4028/www.scientific.net/amm.90-93.2612.

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Conceptual model is considered as one of the crucial and essential methods for scientific research on cold region hydrology. However, graphical conceptual model that integrates with a variety of influencing factors and specializes in describing soil moisture dynamic in seasonal frozen unsaturated zone has never occurred in any related researches, due to which the study on mechanism of frozen soil moisture movement has been delayed in a certain degree. Firstly, three stages of freezing and thawing process are divided in this article to serve for the further study in seasonal frozen unsaturated

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6

Ponnambalam, Kumaraswamy, and S. Jamshid Mousavi. "CHNS Modeling for Study and Management of Human–Water Interactions at Multiple Scales." Water 12, no. 6 (June 14, 2020): 1699. http://dx.doi.org/10.3390/w12061699.

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This paper presents basic definitions and challenges/opportunities from different perspectives to study and control water cycle impacts on society and vice versa. The wider and increased interactions and their consequences such as global warming and climate change, and the role of complex institutional- and governance-related socioeconomic-environmental issues bring forth new challenges. Hydrology and integrated water resources management (IWRM from the viewpoint of an engineering planner) do not exclude in their scopes the study of the impact of changes in global hydrology from societal actio

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7

Vieux, Baxter E. "Review of Mathematical Models of Large Watershed Hydrology by Vijay P. Singh and Donald K. Prevert." Journal of Hydraulic Engineering 130, no. 1 (January 2004): 89–90. http://dx.doi.org/10.1061/(asce)0733-9429(2004)130:1(89).

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8

Paz Pellat, Fernando, Jaime Garatuza Payán, Víctor Salas Aguilar, Alma Socorro Velázquez Rodríguez, and Martín Alejandro Bolaños González. "Budyko-Type Models and the Proportionality Hypothesis in Long-Term Water and Energy Balances." Water 14, no. 20 (October 20, 2022): 3315. http://dx.doi.org/10.3390/w14203315.

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In the perspective of Darwinian hydrology, Budyko hypotheses can be the foundation of approaches for developing models. Numerous Budyko-type models meeting established boundary conditions (water and energy limits) have been developed based on the Budyko hypothesis on the long-term-average annual mass and energy balance. Some of these models are grounded on empirical bases, while others have been formulated on sophisticated mathematical developments. We analyze the basic hypotheses underlying some Budyko-type models; we first describe some published models and then examine their underlying hypo

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9

Rezaie-Balf, Mohammad, and Ozgur Kisi. "New formulation for forecasting streamflow: evolutionary polynomial regression vs. extreme learning machine." Hydrology Research 49, no. 3 (March 27, 2017): 939–53. http://dx.doi.org/10.2166/nh.2017.283.

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Abstract Streamflow forecasting is crucial in hydrology and hydraulic engineering since it is capable of optimizing water resource systems or planning future expansion. This study investigated the performances of three different soft computing methods, multilayer perceptron neural network (MLPNN), optimally pruned extreme learning machine (OP-ELM), and evolutionary polynomial regression (EPR) in forecasting daily streamflow. Data from three different stations, Soleyman Tange, Perorich Abad, and Ali Abad located on the Tajan River of Iran were used to estimate the daily streamflow. MLPNN model

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10

Kinar, Nicholas J. "Introducing electronic circuits and hydrological models to postsecondary physical geography and environmental science students: systems science, circuit theory, construction, and calibration." Geoscience Communication 4, no. 2 (April 13, 2021): 209–31. http://dx.doi.org/10.5194/gc-4-209-2021.

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Abstract. A classroom activity involving the construction, calibration, and testing of electronic circuits was introduced to an advanced hydrology class at the postsecondary level. Two circuits were constructed by students: (1) a water detection circuit and (2) a hybrid relative humidity (RH)/air temperature sensor and pyranometer. The circuits motivated concepts of systems science, modelling in hydrology, and model calibration. Students used the circuits to collect data useful for providing inputs to mathematical models of hydrological processes. Each student was given the opportunity to crea

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Дисертації з теми "Hydrology Mathematical models"

1

Bailey, Mark A(Mark Alexander) 1970. "Improved techniques for the treatment of uncertainty in physically-based models of catchment water balance." Monash University, Dept. of Civil Engineering, 2001. http://arrow.monash.edu.au/hdl/1959.1/8271.

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2

Mahanama, Sarith Prasad Panditha. "Distributed approach of coupling basin scale hydrology with atmospheric processes." Thesis, Hong Kong : University of Hong Kong, 2000. http://sunzi.lib.hku.hk/hkuto/record.jsp?B22088817.

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3

Washburne, James Clarke. "A distributed surface temperature and energy balance model of a semi-arid watershed." Diss., The University of Arizona, 1994. http://hdl.handle.net/10150/186800.

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A simple model of surface and sub-surface soil temperature was developed at the watershed scale (-100 km²) in a semi-arid rangeland environment. The model consisted of a linear combination of air temperature and net radiation and assumed: (1) topography controls the spatial distribution of net radiation, (2) near-surface air temperature and incoming solar radiation are relatively homogeneous at the watershed scale and are available from ground stations and (3) soil moisture dominates transient soil thermal property variability. Multiplicative constants were defined to account for clear sky dif

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4

Oliver, Marcel 1963. "Mathematical investigation of models of shallow water with a varying bottom." Diss., The University of Arizona, 1996. http://hdl.handle.net/10150/191198.

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This dissertation is a mathematical investigation of the so-called lake and the great lake equations, which are shallow water equations that describe the long-time motion of an inviscid, incompressible fluid contained in a shallow basin with a slowly spatially varying bottom, a free upper surface and vertical side walls, under the influence of gravity and in the limit of small characteristic velocities and very small surface amplitude. It is shown that these equations are globally well-posed, i.e. that they possess unique global weak solutions that depend continuously on the initial data and o

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5

Goodrich, David Charles. "Basin Scale and Runoff Model Complexity." Department of Hydrology and Water Resources, University of Arizona (Tucson, AZ), 1990. http://hdl.handle.net/10150/614028.

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Distributed Rainfall-Runoff models are gaining widespread acceptance; yet, a fundamental issue that must be addressed by all users of these models is definition of an acceptable level of watershed discretization (geometric model complexity). The level of geometric model complexity is a function of basin and climatic scales as well as the availability of input and verification data. Equilibrium discharge storage is employed to develop a quantitative methodology to define a level of geometric model complexity commensurate with a specified level of model performance. Equilibrium storage ra

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6

El, Didy Sherif Mohamed Ahmed 1951. "Two-dimensional finite element programs for water flow and water quality in multi-aquifer systems." Diss., The University of Arizona, 1986. http://hdl.handle.net/10150/191110.

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Multiple aquifer systems similar to those that exist at coal gasification sites are complicated groundwater situations. In these types of systems, the aquifers are separated by aquitards through which interaction between aquifers can occur. The movement of the products of combustion into the coal seam and adjacent aquifers is a serious problem of interest. This dissertation presents two-dimensional finite element models for water flow and water quality in multiple aquifer systems. These models can be applied for general problems as well as the problems associated with the burned cavities in co

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7

Tang, Philip Kwok Fan. "Stochastic Hydrologic Modeling in Real Time Using a Deterministic Model (Streamflow Synthesis and Reservoir Regulation Model), Time Series Model, and Kalman Filter." PDXScholar, 1991. https://pdxscholar.library.pdx.edu/open_access_etds/4580.

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The basic concepts of hydrologic forecasting using the Streamflow Synthesis And Reservoir Regulation Model of the U.S. Army Corps of Engineers, auto-regressive-moving-average time series models (including Greens' functions, inverse functions, auto covariance Functions, and model estimation algorithm), and the Kalman filter (including state space modeling, system uncertainty, and filter algorithm), were explored. A computational experiment was conducted in which the Kalman filter was applied to update Mehama local basin model (Mehama is a 227 sq. miles watershed located on the North Santiam Riv

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8

Fonley, Morgan Rae. "Effects of oscillatory forcing on hydrologic systems under extreme conditions: a mathematical modeling approach." Diss., University of Iowa, 2015. https://ir.uiowa.edu/etd/2075.

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At the large watershed scale, we emphasize the effects of flow through a river network on streamflow under dry conditions. An immediate consequence of assuming dry conditions is that evapotranspiration causes flow in the river network to exhibit oscillations. When all links in the river network combine their flow patterns, the oscillations interact in ways that change the timing and amplitude of the streamflow waves at the watershed outlet. The geometric shape of the river network is particularly important, so we develop a

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9

Namde, Noubassem Nanas 1955. "Simulation of micro catchment water harvesting systems." Diss., The University of Arizona, 1987. http://hdl.handle.net/10150/191121.

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A mathematical model for personal computers was prepared as a planning tool for development of micro catchment water harvesting systems. It computes runoff from natural or treated catchments, using estimated or actual parameters. The model also computes the water balance of the soil zone in the cultivated area and the water balance of the reservoir system which serves it. The model was calibrated with hydrolologic data and site characteristics for a location near Tucson, Arizona. Its prediction of cotton and grain sorghum yields was comparable to that of Morin (1977). An attempt was made to us

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10

Henry, Eric James. "Contaminant induced flow effects in variably-saturated porous media." Diss., The University of Arizona, 2001. http://hdl.handle.net/10150/191256.

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Dissolved organic contaminants that decrease the surface tension of water (surfactants) can have an effect on unsaturated flow through porous media due to the dependence of capillary pressure on surface tension. One and two-dimensional (1D, 2D) laboratory experiments and numerical simulations were conducted to study surfactant-induced unsaturated flow. The 1D experiments investigated differences in surfactant-induced flow as a function of contaminant mobility. The flow in a system contaminated with a high solubility, mobile surfactant, butanol, was much different than in a system contaminated

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Книги з теми "Hydrology Mathematical models"

1

Computer models of watershed hydrology. Highlands Ranch, Colorado: Water Resources Publications, 2012.

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2

Clarke, Robin T. Statistical modelling in hydrology. Chichester [England]: Wiley & Sons, 1994.

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3

1948-, Mizumura Kazumasa, ed. Suimongaku no sūri: Mathematics in hydrology. Tōkyō: Tōkyō Denki Daigaku Shuppankyoku, 2008.

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4

1948-, Mizumura Kazumasa, ed. Suimongaku no sūri: Mathematics in hydrology. Tōkyō: Tōkyō Denki Daigaku Shuppankyoku, 2008.

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5

Rushton, K. R. Groundwater Hydrology. New York: John Wiley & Sons, Ltd., 2003.

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6

E, Meadows Michael, ed. Kinematic hydrology and modelling. Amsterdam: Elsevier, 1986.

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7

Stochastic subsurface hydrology. Englewood Cliffs, N.J: Prentice-Hall, 1993.

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8

Lattermann, Alexander. System-theoretical modelling in surface water hydrology. Berlin: Springer-Verlag, 1991.

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9

Lukes, Martin. Kalibrierung und Sensitivitätsanalyse eines Wasserhaushaltsmodells für Waldstandorte. Freiburg [Breisgau]: Forstliche Versuchs- und Forschungsanstalt Baden-Württemberg, Abteilung Boden und Umwelt, 2006.

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10

P, Singh V. Hydrologic systems. Englewood Cliffs, N.J: Prentice Hall, 1989.

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Частини книг з теми "Hydrology Mathematical models"

1

Chocat, Bernard. "Urban Hydrology Models." In Mathematical Models, 155–212. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2013. http://dx.doi.org/10.1002/9781118557853.ch6.

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2

Fourmigué, Patrick, and Patrick Arnaud. "Reservoir Models in Hydrology." In Mathematical Models, 397–407. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2013. http://dx.doi.org/10.1002/9781118557853.ch12.

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3

Remesan, Renji, and Dawei Han. "Evaluation of Mathematical Models with Utility Index: A Case Study from Hydrology." In Computational Intelligence Techniques in Earth and Environmental Sciences, 243–64. Dordrecht: Springer Netherlands, 2014. http://dx.doi.org/10.1007/978-94-017-8642-3_13.

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4

DeCoursey, Donn G. "Mathematical Models: Research Tools for Experimental Watersheds." In Recent Advances in the Modeling of Hydrologic Systems, 591–612. Dordrecht: Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3480-4_28.

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5

Amorocho, Jaime, and Baolin Wu. "Mathematical Models for the Simulation of Cyclonic Storm Sequences and Precipitation Fields." In Precipitation Analysis for Hydrologic Modeling, 210–25. Washington, D. C.: American Geophysical Union, 2013. http://dx.doi.org/10.1029/sp004p0210.

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6

Gray, William G., and Michael A. Celia. "Incorporation of Interfacial Areas in Models of Two-Phase Flow." In Vadose Zone Hydrology. Oxford University Press, 1999. http://dx.doi.org/10.1093/oso/9780195109900.003.0006.

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The mathematical study of flow in porous media is typically based on the 1856 empirical result of Henri Darcy. This result, known as Darcy’s law, states that the velocity of a single-phase flow through a porous medium is proportional to the hydraulic gradient. The publication of Darcy’s work has been referred to as “the birth of groundwater hydrology as a quantitative science” (Freeze and Cherry, 1979). Although Darcy’s original equation was found to be valid for slow, steady, one-dimensional, single-phase flow through a homogeneous and isotropic sand, it has been applied in the succeeding 140 years to complex transient flows that involve multiple phases in heterogeneous media. To attain this generality, a modification has been made to the original formula, such that the constant of proportionality between flow and hydraulic gradient is allowed to be a spatially varying function of the system properties. The extended version of Darcy’s law is expressed in the following form: qα=-Kα . Jα (2.1) where qα is the volumetric flow rate per unit area vector of the α-phase fluid, Kα is the hydraulic conductivity tensor of the α-phase and is a function of the viscosity and saturation of the α-phase and of the solid matrix, and Jα is the vector hydraulic gradient that drives the flow. The quantities Jα and Kα account for pressure and gravitational effects as well as the interactions that occur between adjacent phases. Although this generalization is occasionally criticized for its shortcomings, equation (2.1) is considered today to be a fundamental principle in analysis of porous media flows (e.g., McWhorter and Sunada, 1977). If, indeed, Darcy’s experimental result is the birth of quantitative hydrology, a need still remains to build quantitative analysis of porous media flow on a strong theoretical foundation. The problem of unsaturated flow of water has been attacked using experimental and theoretical tools since the early part of this century. Sposito (1986) attributes the beginnings of the study of soil water flow as a subdiscipline of physics to the fundamental work of Buckingham (1907), which uses a saturation-dependent hydraulic conductivity and a capillary potential for the hydraulic gradient.

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Brusseau, Mark L. "Non ideal Transport of Reactive Solutes in Porous Media : Cutting Across History and Disciplines." In Vadose Zone Hydrology. Oxford University Press, 1999. http://dx.doi.org/10.1093/oso/9780195109900.003.0009.

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The potential for human activities to adversely affect the environment has become of increasing concern during the past three decades. As a result, the transport and fate of contaminants in subsurface systems has become one of the major research areas in the environmental/hydrological/earth sciences. An understanding of how contaminants move in the subsurface is required to address problems of characterizing and remediating soil and groundwater contaminated by chemicals associated with industrial and commercial operations, waste-disposal facilities, and agricultural production. Furthermore, such knowledge is needed for accurate risk assessments; for example, to evaluate the probability that contaminants associated with a chemical spill will reach an aquifer. Just as importantly, knowledge of contaminant transport and fate is necessary to design “pollution-prevention” strategies. A tremendous amount of research on the transport of solutes in porous media has been generated by several disciplines, including analytical chemistry (chromatography), chemical engineering, civil/environmental engineering, geology, hydrology, petroleum engineering, and soil science. This research includes the results of theoretical studies designed to pose and evaluate hypotheses, the results of experiments designed to test hypotheses and investigate processes, and the development and application of mathematical models useful for integrating theoretical and experimental results and for evaluating complex systems. While much of the previous research has focused on transport of nonreactive solutes, it is the transport of “reactive” solutes that is currently receiving increased attention. Reactive solutes are those subject to phase-transfer processes (e.g., sorption, precipitation/dissolution) and transformation reactions (e.g., biodegradalion). Of special interest in the field of contaminant transport is so-called nonideal transport. In the most general sense, nonideal transport can be described as transport behavior that deviates from the behavior that is predicted using a given set of assumptions. A homogeneous porous medium and linear, instantaneous phase transfers and transformation reactions are the most basic set of assumptions for ideal solute transport in porous media. As discussed in a recent review, transport of reactive contaminants is often nonideal (Brusseau, 1994). The potential causes of nonideal transport include rate-limited and nonlinear mass transfer and transformation reactions, as well as spatial (and temporal) variability of material properties.

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8

Van Genuchten, M. Th, and E. A. Sudicky. "Recent Advances in Vadose Zone Flow and Transport Modeling." In Vadose Zone Hydrology. Oxford University Press, 1999. http://dx.doi.org/10.1093/oso/9780195109900.003.0010.

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The fate and transport of a variety of chemicals migrating from industrial and municipal waste disposal sites, or applied to agricultural lands, is increasingly becoming a concern. Once released into the subsurface, these chemicals arc subject to a large number of simultaneous physical, chemical, and biological processes, including sorption-desorption, volatilization, and degradation. Depending upon the type of organic chemical involved, transport may also be subject to multiphase flow that involves partitioning of the chemical between different fluid phases. Many models of varying degree of complexity and dimensionality have been developed during the past several decades to quantify the basic physicochemical processes affecting transport in the unsaturated zone. Models for variably saturated water flow, solute transport, aqueous chemistry, and cation exchange were initially developed mostly independently of each other, and only recently has there been a significant effort to couple the different processes involved. Also, most solute transport models in the past considered only one solute. For example, the processes of adsorption- desorption and cation exchange were often accounted for by using relatively simple linear or nonlinear Freundlich isotherms such that all reactions between the solid and liquid phases were forced to be lumped into a single distribution coefficient, and possibly a nonlinear exponent. Other processes such as precipitation-dissolution, biodegradation, volatilization, or radioactive decay were generally simulated by means of simple first- and/or zero-order rate processes. These simplifying approaches were needed to keep the mathematics relatively simple in view of the limitations of previously available computers. The problem of coupling models for water flow and solute transport with multicomponent chemical equilibrium and nonequilibrium models is now increasingly being addressed, facilitated by the introduction of more powerful computers, development of more advanced numerical techniques, and improved understanding of the underlying transport processes. One major frustrating issue facing soil scientists and hydrologists in dealing with the unsaturated zone, both in terms of modeling and experimentation, is the overwhelming heterogeneity of the subsurface environment.

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9

"Measures of model performance, uncertainty and stochastic modelling." In Understanding Mathematical and Statistical Techniques in Hydrology, 71–85. Chichester, UK: John Wiley & Sons, Ltd, 2016. http://dx.doi.org/10.1002/9781119077985.ch6.

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"REFERENCES l.Jovanovic,D.& Jovanovic,S.& Ocokolic,M.(1985) Hydrological analyses of and mean waters for hydrologically nonstudied watershed areas. IV Symposium of Yugoslav Association of Hydrology· Bled. (in Serbocroatian) 2 Probaska,S.& Petkovic,T .& Simonovic,S.(1979) Mathematical model for spatial interpolation ofhydrometeorological Report No 64, Institute for." In Hydraulic Engineering Software IV, 361. CRC Press, 2003. http://dx.doi.org/10.1201/9781482286809-127.

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Тези доповідей конференцій з теми "Hydrology Mathematical models"

1

Voronin, Alexander, Mikhail Kharitonov, Anna Vasilchenko, and Konstantin Dubinko. "Control Model of Hydrologic Safety of Inundated Territories." In 2020 2nd International Conference on Control Systems, Mathematical Modeling, Automation and Energy Efficiency (SUMMA). IEEE, 2020. http://dx.doi.org/10.1109/summa50634.2020.9280670.

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2

Voronin, Alexander, Mikhail Kharitonov, Anna Vasilchenko, and Inessa Isaeva. "Control Model for Hydrologic Safety of Flooded Territories." In 2021 3rd International Conference on Control Systems, Mathematical Modeling, Automation and Energy Efficiency (SUMMA). IEEE, 2021. http://dx.doi.org/10.1109/summa53307.2021.9632213.

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3

Egderly, J. L., L. A. Roesner, C. A. Rohrer, and J. A. Gironás. "Quantifying Urban-induced Flow Regime Alteration and Evaluating Mitigation Alternatives Using Mathematical Models and Hydrologic Metrics." In World Environmental and Water Resources Congress 2006. Reston, VA: American Society of Civil Engineers, 2006. http://dx.doi.org/10.1061/40856(200)425.

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Yang, Jia, Ranran Cao, and Wei Bai. "The Research on the Interception Engineering Layout of Active Intercepting and Guiding in Water Intake Open Channel of Nuclear Power Plant." In 2022 29th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/icone29-92760.

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Анотація:

Abstract At present, most intercepting facilities in water intake open channel of nuclear power plant are passive. Moreover, the correlation between the layout of intercepting facilities and hydraulic conditions of water intake open channel is not considered. Hence, the layout of intercepting facilities is unreasonable. The cooling water intake system of nuclear power plants faces risks. In this paper, The flow field characteristics of water intake open channel under typical sea hydrologic conditions were studied. Then, the migration path and aggregation rule of floating or suspended objects a

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