Relevant bibliographies by topics / Groundwater Mathematical models

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Groundwater Mathematical models'

Author: Grafiati
Published: 4 June 2021
Last updated: 7 September 2023

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Journal articles on the topic "Groundwater Mathematical models"

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Abdullayev, A. A., M. Hidoyatova, and B. A. Kuralov. "About one differential model of dynamics of groundwater." E3S Web of Conferences 401 (2023): 02017. http://dx.doi.org/10.1051/e3sconf/202340102017.

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When modeling the flow of groundwater and streams together, two different approaches are used, using hydraulic and hydrological models as channel flow models. The former is based on mathematical equations of water movement in open channels. In contrast, the latter is based on simplified empirical and semi-empirical relationships between the hydraulic characteristics of watercourses. In both cases, the watercourse is an internal boundary for the groundwater flow - otherwise, it is advisable to model it as a body of water. The groundwater model can be a scale model or an electrical model of the state of the groundwater or an aquifer. Groundwater models are used to represent the natural flow of groundwater in an environment. Some groundwater models include aspects of groundwater quality. Such groundwater models attempt to predict the fate and movement of a chemical in natural, urban, or hypothetical scenarios. Groundwater models can be used to predict the impact of hydrological changes on aquifer behavior and are often referred to as groundwater simulation models. Also, groundwater models are currently being used in various water management plans for urban areas. Because calculations in mathematical groundwater models are based on groundwater flow equations, which are differential equations that can often only be solved by approximate methods using numerical analysis, these models are also referred to as mathematical, numerical, or computational groundwater models.
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Fowler, A. C., and C. G. Noon. "Mathematical models of compaction, consolidation and regional groundwater flow." Geophysical Journal International 136, no. 1 (January 1, 1999): 251–60. http://dx.doi.org/10.1046/j.1365-246x.1999.00717.x.

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Emikh, V. N. "Mathematical models of groundwater flow with a horizontal drain." Water Resources 35, no. 2 (March 2008): 205–11. http://dx.doi.org/10.1134/s0097807808020097.

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Hadžić, E., N. Lazović, and A. Mulaomerović-Šeta. "Application of Mathematical Models in Defining Optimal Groundwater Yield." Procedia Environmental Sciences 25 (2015): 112–19. http://dx.doi.org/10.1016/j.proenv.2015.04.016.

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Solodovnikov, Denis, Stanislav Shinkarenko, Nikolai Vishnyakov, and Natalya Khavanskaya. "Groundwater of River Floodplains – Intra-Annual Dynamics and Mathematical Models." Natural Systems and Resources, no. 2 (February 2020): 54–63. http://dx.doi.org/10.15688/nsr.jvolsu.2019.2.7.

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The doctrine of natural geographical zoning is a traditional and well-developed field of physical geography. Zonal landscapes of the planet are perfectly classified and have clear diagnostic signs. The situation is different with intrazonal landscapes. The criteria for their differentiation are not so obvious. Despite the objective differences in the landscapes of floodplains of forest and steppe natural zones, the principles of their differentiation and classification have not yet been eveloped. The most important factor in the functioning of floodplain landscapes is the seasonal dynamics of groundwater. The annual series of observations allows to graphically display this dynamic in the form of combined transverse profiles of river floodplains, reflecting the relief, the level of surface waters and the changing position of the upper boundary of groundwater. Two-dimensional figures on the profiles are subjected to mathematical processing and allow to develop mathematical models of annual groundwater dynamics. Such models can serve as a basis for classification of intrazonal landscapes of river floodplains. The idea of the study is to try to give an objective picture of natural processes in the floodplains of rivers of the arid zone, based on accurate quantitative characteristics comparable to each other. For mathematical processing, we selected field experimental plots, allowing to obtain a representative profile of the relief and the position of the groundwater mirror during the year. Two-year observations of groundwater have provided a comprehensive picture of their dynamics and relationships to the surface water regime. The results of this work were reflected graphically in the form of profiles. At the next stage, with the help of the Verner Graphical Analysis program, adequate mathematical models describing the process were selected. Verification of models showed a high degree of their reliability. The next stage of the work should be the comparative characteristics of floodplains of rivers of different natural zones and regions, based on the proposed approach. In combination with other criteria (humus content in soils, species composition of tree and shrub vegetation), this will make it possible to differentiate the landscapes of river floodplains and develop schemes for zoning intrazonal landscapes.
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Afrifa, Stephen, Tao Zhang, Peter Appiahene, and Vijayakumar Varadarajan. "Mathematical and Machine Learning Models for Groundwater Level Changes: A Systematic Review and Bibliographic Analysis." Future Internet 14, no. 9 (August 30, 2022): 259. http://dx.doi.org/10.3390/fi14090259.

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With the effects of climate change such as increasing heat, higher rainfall, and more recurrent extreme weather events including storms and floods, a unique approach to studying the effects of climatic elements on groundwater level variations is required. These unique approaches will help people make better decisions. Researchers and stakeholders can attain these goals if they become familiar with current machine learning and mathematical model approaches to predicting groundwater level changes. However, descriptions of machine learning and mathematical model approaches for forecasting groundwater level changes are lacking. This study picked 117 papers from the Scopus scholarly database to address this knowledge gap. In a systematic review, the publications were examined using quantitative and qualitative approaches, and the Preferred Reporting Items for Systematic Reviews and Meta-Analyses (PRISMA) was chosen as the reporting format. Machine learning and mathematical model techniques have made significant contributions to predicting groundwater level changes, according to the study. However, the domain is skewed because machine learning has been more popular in recent years, with random forest (RF) methods dominating, followed by the methods of support vector machine (SVM) and artificial neural network (ANN). Machine learning ensembles have also been found to help with aspects of computational complexity, such as performance and training times. Furthermore, compared to mathematical model techniques, machine learning approaches achieve higher accuracies, according to our research. As a result, it is advised that academics employ new machine learning techniques while also considering mathematical model approaches to predicting groundwater level changes.
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Discacciati, Marco, Edie Miglio, and Alfio Quarteroni. "Mathematical and numerical models for coupling surface and groundwater flows." Applied Numerical Mathematics 43, no. 1-2 (October 2002): 57–74. http://dx.doi.org/10.1016/s0168-9274(02)00125-3.

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Hurley, G. A. "The prediction of groundwater levels using computer based mathematical models." Geological Society, London, Engineering Geology Special Publications 3, no. 1 (1986): 321–25. http://dx.doi.org/10.1144/gsl.eng.1986.003.01.38.

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Sierikova, Olena, Volodymyr Koloskov, and Elena Strelnikova. "The groundwater level changing processes modeling in 2D and 3D formulation." Acta Periodica Technologica, no. 53 (2022): 36–47. http://dx.doi.org/10.2298/apt2253036s.

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The objective of this study was to develop a mathematical model to determine the tendency of the groundwater level changes under the influence of external factors to prevent environmentally hazardous impacts and emergency situations. Mathematical methods (analytical solution of differential filtration equations involved the computer program Maple) - for creation the groundwater level changes model, methods of ecological and economic assessment and comparative analysis - for the identification of groundwater level impact important factors and groundwater level impact on the environment, balance method - for assessing the groundwater level changes. The mathematical model in 2D formulation works from any value of the initial groundwater level. The value of groundwater level changing at constant evapotranspiration has been obtained, which has been visualized by calculations for limited areas of the Kharkiv territory. Three-dimensional modelling of groundwater level changing in contrast to two-dimensional allows to take into account the dependence of evapotranspiration on the presence of artificial coverings on the soil surface, which are located unevenly and have different filtration coefficients, which causes corresponding groundwater level changes of urban areas. The nature of groundwater level changes under the influence of external factors has been determined. The necessity to create three-dimensional mathematical models to describe groundwater level changes and improve forecasts of their changes have been identified. A three-dimensional mathematical model of urban groundwater level changes, such as atmospheric water infiltration, additional groundwater replenishment, transpiration, evaporation, evapotranspiration, and groundwater abstraction has been developed. The boundary conditions of the three-dimensional mathematical model have been formulated.
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Liu, Baoling, Gang Li, Hong You, Mingrui Sui, and Shutao Wang. "Evaluation of dynamic groundwater quality simulation based on Cloud-GIS: a case study in Harbin urban area, China." Water Supply 14, no. 6 (June 28, 2014): 1095–104. http://dx.doi.org/10.2166/ws.2014.070.

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This paper consists of two parts. The first part addresses the joint modeling of both spatial and temporal elements to perform dynamic evaluation of groundwater quality. In this part, a grey prediction method was used to predict missing values and then, on the basis of an entropy-weighting method, to build a dynamic weight model which continually changes with time; finally, a fuzzy evaluation method was used to evaluate groundwater quality. MATLAB was used to integrate these mathematical models. The second part describes the construction of a dynamic simulation platform which integrated mathematical models, a property database, and a spatial database, with secondary developments in geographic information system (GIS) and cloud-based simulation technology. All calculation steps and simulation programs were carried out on the simulation platform. The results indicated the grade of groundwater quality between II and IV. Groundwater quality gradually rose in the first and fourth quarters, but continually decreased in the second and third quarters. The lowest groundwater-quality value for the entire year appeared in October. This result also illustrates that turning points in groundwater quality appear when groundwater levels increase or decrease along rivers.
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Dissertations / Theses on the topic "Groundwater Mathematical models"

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MORANDA, ARIANNA. "Mathematical models for reactive contaminants in groundwater." Doctoral thesis, Università degli studi di Genova, 2018. http://hdl.handle.net/11567/930210.

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Abstract The mass transport of contaminants in porous media is of great importance both in the field of research and in the applied field. Today's respect for the environment and the safeguarding of resources has greatly increased the need to monitor and prevent environmental pollution. Of great importance are the mathematical models that allow us to describe the concentration distribution in space and time of a pollutant in groundwater. This research is focused on the study and modeling of pollutants in groundwater. Bibliographic research and a subsequent in-depth study of 1D, 2D and 3D ADE models and their applications were conducted to examine the state of the art and possible areas for model development. Emphasis was placed on the development of a new one-dimensional solution. A variety of conditions were examined including the release of the source with step function, the decay of contaminants with consecutive reactions and the production and decay of the source concentration From the one-dimensional model, it was possible to extend the model to three-dimensions with the exact integral solution and approximate solution in closed form. A solution in approximate form was also obtained for a known solution in the Literature characterized by exponential decay at the source. A comparative simulation analysis was performed on the models based on Literature data.
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Khatibi, Rahman Haghi. "Mathematical open channel flow models and identification of their friction parameters." Thesis, University of London, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.263145.

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This thesis l concerned with the mathematical modelling of open channel flows governed by the Saint-Venant equations, which are used as a prediction or identification tools. A survey of the literature in these fields identified the problems in need of Immediate research. Numerical test runs were then devised which led to projecting a clear picture as follows. The performance of twn widely used Implicit finite difference schemes, the 4-point box and 6-point staggered schemes were compared In a wide range of circumstances. it is concluded that both schemes produce 'very close results, but the staggered scheme is prone to convergence problems In some extreme cases. It was also noted that a sharp change in geometric configuration of compound channels produced discontinuous features on the aim ulated depth and discharge hydrographs. The inability of the staggered scheme In handling a head-discharge relationship as a downstream boundary condition was tackled by proposing and implementing a scheme of second order accuracy. As model data are generally corrupted withh errors and noise, their effects together with that of other factors on the Identified friction parameters we Investigated. The results demonstte the paramount Importance of the effect of a choice of objective function on the Identified parameters. While the individual values of the identified M2nning n may vary from one flood event to another, their mean is shown both numerically and rigorously to be dependent upon the choice of objective function. It is shown that an objective function formulated by using absolute errors performs ideally and produces reliable results even in the presence of autocorrelated Gaucian noise samples. The mean of the Identified parameters is also found to be adversely affected if the observation station is affected by localized disturbances. Sensitivity of objective functions to the variation In the value of the friction parameter Is also found to be an Important factor, as Insensitivity leads to ill-conditioning.
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Cuifeng, Wei. "Improved Finite Analytic Methods for Solving Advection-dominated Transport Equation in Highly Variable Velocity Field." PDXScholar, 1995. https://pdxscholar.library.pdx.edu/open_access_etds/4922.

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Solute transport studies frequently rely on numerical solutions of the classical advection-diffusion equation. Unfortunately, solutions obtained with traditional finite difference and finite element techniques typically exhibit excessive numerical diffusion or spurious oscillation when advection dominates, especially when velocity field is highly variable. One recently developed technique, the finite analytic method, offers an attractive alternative. Finite analytic methods utilize local analytic solutions in discrete elements to obtain the algebraic representations of the governing partial differential equations, thus eliminating the truncation error in the finite difference and the use of approximating functions in the finite element method. The finite analytic solutions have been shown to be stable and numerically robust for advection-dominated transport in heterogeneous velocity fields. However, the existing finite analytic methods for solute transport in multiple dimensions have the following disadvantages. First, the method is computationally inefficient when applied to heterogeneous media due to the complexity of the formulation. Second, the evaluation of finite analytic coefficients is when the Peclet number is large. Third, the method introduces significant numerical diffusion due to inadequate temporal approximation when applied to transient problems. This thesis develops improved finite analytic methods for two-dimensional steady as well as unsteady solute transports in steady velocity fields. For steady transport, the new method exploits the advantages of the existing finite analytic and finite difference methods. The analytically difficult diffusion terms are approximated by finite difference and numerically difficult advection and reaction terms are treated analytically in a local element in deriving the numerical schemes. The new finite analytic method is extended to unsteady transport through application of Laplace transformation. Laplace transformation converts the transient equation to a steady-state expression that can be solved with the steady version of the improved finite analytic method. Numerical inversion of the transformed variables is used to recover solute concentration in the physical space-time domain. The effectiveness and accuracy of the new finite analytic method is demonstrated through stringent test examples of two dimensional steady-state transport in highly variable velocity fields. The results clearly demonstrated that the improved finite analytic methods are efficient, robust and accurate.
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Blue, Julie Elena. "Predicting tracer and contaminant transport with the stratified aquifer approach." Diss., The University of Arizona, 1999. http://etd.library.arizona.edu/etd/GetFileServlet?file=file:///data1/pdf/etd/azu_e9791_1999_426_sip1_w.pdf&type=application/pdf.

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Javed, Ijaz. "Groundwater development and management at Fordwah Eastern Sadiqia (South) Project, Bahawalnager, Punjab, Pakistan." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape11/PQDD_0003/MQ44189.pdf.

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Ritzi, Robert William. "The use of well response to natural forces in the estimation of hydraulic parameters." Diss., The University of Arizona, 1989. http://etd.library.arizona.edu/etd/GetFileServlet?file=file:///data1/pdf/etd/azu_e9791_1989_119_sip1_w.pdf&type=application/pdf.

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Schmid, Wolfgang. "A farm package for MODFLOW-2000 simulation of irrigation demand and conjunctively managed surface-water and ground-water supply /." Diss., The University of Arizona, 2004. http://etd.library.arizona.edu/etd/GetFileServlet?file=file:///data1/pdf/etd/azu_e9791_2004_287_sip1_w.pdf&type=application/pdf.

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Samper, Calvete F. Javier(Francisco Javier) 1958. "Statistical methods of analyzing hydrochemical, isotopic, and hydrological data from regional aquifers." Diss., The University of Arizona, 1986. http://hdl.handle.net/10150/191115.

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This dissertation is concerned with the development of mathematical aquifer models that combine hydrological, hydrochemical and isotopic data. One prerequisite for the construction of such models is that prior information about the variables and parameters be quantified in space and time by appropriate statistical methods. Various techniques using multivariate statistical data analyses and geostatistical methods are examined in this context. The available geostatistical methods are extended to deal with the problem at hand. In particular, a three-dimensional interactive geostatistical package has been developed for the estimation of intrinsic and nonintrinsic variables. This package is especially designed for groundwater applications and incorporates a maximum likelihood cross-validation method for estimating the parameters of the covariance function. Unique features of this maximum likelihood cross-validation method include: the use of an adjoint state method to compute the gradient of the likelihood function, the computation of the covariance of the parameter estimates and the use of identification criteria for the selection of a covariance model. In addition, it can be applied to data containing measurement errors, data regularized over variable lengths, and to nonintrinsic variables. The above methods of analysis are applied to synthetic data as well as hydrochemical and isotopic data from the Tucson aquifer in Arizona and the Madrid Basin in Spain. The dissertation also includes a discussion of the processes affecting the transport of dissolved constituents in groundwater, the mathematical formulation of the inverse solute transport problem and a proposed numerical method for its solution.
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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 coal gasification sites. The Galerkin weightedresidual method is used in both models. Eight-noded isoparametric elements are used. Spatial numerical integration is performed using Gaussian quadrature. A weighted finite difference scheme is used, in both of them, for time integration. The two models are written in FORTRAN V for the CDC CYBER 175. They are applicable to one- or two-dimensional problems involving steady-state or transient flow. Each aquifer can have different initial conditions and boundary conditions. Boundary conditions, pumping rates, and the recharge can be specified as a function of time. The output of the flow program-nodal heads and velocity components is used as an input to the quality program. The numerical models were validated for simple problems that have available analytical solutions.
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Ahmad, Faheem. "Numerical modelling of transport of pollutant through soils." Thesis, This resource online, 1991. http://scholar.lib.vt.edu/theses/available/etd-08182009-040239/.

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Books on the topic "Groundwater Mathematical models"

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Atangana, Abdon. Mathematical Analysis of Groundwater Flow Models. Boca Raton: CRC Press, 2022. http://dx.doi.org/10.1201/9781003266266.

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Groundwater mechanics. Englewood Cliffs, N.J: Prentice Hall, 1989.

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Groundwater resources assessment. Amsterdam: Elsevier, 1989.

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Rajan, M. T. Regional groundwater modeling. New Delhi: Capital Pub. Co., 2004.

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Krešić, Neven. Quantitative solutions in hydrogeology and groundwater modeling. Boca Raton: CRC Lewis, 1997.

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International, Symposium on Groundwater Monitoring and Management (1987 Dresden Germany). Groundwater monitoring and management. Wallingford, UK: International Association of Hydrological Sciences, 1990.

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

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Christianus Bernardus Maria Te Stroet. Calibration of stochastic groundwater flow models: Estimation of noise statistics and model parameters. [Delft: Eburon], 1995.

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A, Elnawawy Osman, Williams Joseph R, Holcomb Research Institute, and Robert S. Kerr Environmental Research Laboratory., eds. Compilation of ground-water models. Ada, Okla: Robert S. Kerr Environmental Research Laboratory, Office of Research and Development, U.S. Environmental Protection Agency, 1993.

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A, Elnawawy Osman, Williams Joseph R, Holcomb Research Institute, and Robert S. Kerr Environmental Research Laboratory., eds. Compilation of ground-water models. Ada, Okla: Robert S. Kerr Environmental Research Laboratory, Office of Research and Development, U.S. Environmental Protection Agency, 1993.

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Book chapters on the topic "Groundwater Mathematical models"

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Sun, Ne-Zheng. "Mathematical Models of Groundwater Quality." In Mathematical Modeling of Groundwater Pollution, 187–246. New York, NY: Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4757-2558-2_7.

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Kovarik, Karel. "Mathematical Models of Groundwater Flow." In Numerical Models in Groundwater Pollution, 61–108. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-642-56982-1_5.

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Sun, Ne-Zheng. "Applications of Groundwater Quality Models." In Mathematical Modeling of Groundwater Pollution, 247–94. New York, NY: Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4757-2558-2_8.

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Kovarik, Karel. "Mathematical Models of Transport of Miscible Pollutants." In Numerical Models in Groundwater Pollution, 109–24. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-642-56982-1_6.

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Ramotsho, Amanda, and Abdon Atangana. "Application of the New Numerical Method with Caputo–Fabrizio Fractal-Fractional Derivative on the Self-Similar Leaky Aquifer Equations." In Mathematical Analysis of Groundwater Flow Models, 167–79. Boca Raton: CRC Press, 2022. http://dx.doi.org/10.1201/9781003266266-10.

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Magingi, Awodwa, and Abdon Atangana. "Modelling a Conversion of a Confined to an Unconfined Aquifer Flow with Classical and Fractional Derivatives." In Mathematical Analysis of Groundwater Flow Models, 413–35. Boca Raton: CRC Press, 2022. http://dx.doi.org/10.1201/9781003266266-22.

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Ramotsho, Amanda, and Abdon Atangana. "Application of the New Numerical Method with Atangana–Baleanu Fractal-Fractional Derivative on the Self-Similar Leaky Aquifer Equations." In Mathematical Analysis of Groundwater Flow Models, 181–98. Boca Raton: CRC Press, 2022. http://dx.doi.org/10.1201/9781003266266-11.

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Manundu, Siphokazi Simnikiwe, and Abdon Atangana. "The Dual Porosity Model." In Mathematical Analysis of Groundwater Flow Models, 515–53. Boca Raton: CRC Press, 2022. http://dx.doi.org/10.1201/9781003266266-26.

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Deyi, Mpafane, and Abdon Atangana. "Groundwater Contamination Transport Model with Fading Memory Property." In Mathematical Analysis of Groundwater Flow Models, 279–87. Boca Raton: CRC Press, 2022. http://dx.doi.org/10.1201/9781003266266-16.

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Mathobo, Mashudu, and Abdon Atangana. "Analysis of General Groundwater Flow Equation with Fractal-Fractional Differential Operators." In Mathematical Analysis of Groundwater Flow Models, 243–59. Boca Raton: CRC Press, 2022. http://dx.doi.org/10.1201/9781003266266-14.

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Conference papers on the topic "Groundwater Mathematical models"

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Panichkin, Vladimir. "METHODS OF MAKING OF PERMANENT MATHEMATICAL MODELS OF HYDROGEOLOGICAL CONDITIONS OF GROUNDWATER DEPOSITS (BY EXAMPLE OF KYZYLZHARMINSKI GROUNDWATER DEPOSIT, KAZAKHSTAN)." In 17th International Multidisciplinary Scientific GeoConference SGEM2017. Stef92 Technology, 2017. http://dx.doi.org/10.5593/sgem2017/12/s02.070.

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Little, Richard, John Avis, Nicola Calder, Nava Garisto, Paul Gierszewski, Helen Leung, Laura Limer, et al. "A Preliminary Postclosure Safety Assessment of OPG’s Proposed L&ILW Deep Geologic Repository, Canada." In ASME 2009 12th International Conference on Environmental Remediation and Radioactive Waste Management. ASMEDC, 2009. http://dx.doi.org/10.1115/icem2009-16289.

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Ontario Power Generation (OPG) is proposing to build a Deep Geologic Respository (DGR) for Low and Intermediate Level Waste (L&ILW) near the existing Western Waste Management Facility at the Bruce site in the Municipality of Kincardine, Ontario. The Nuclear Waste Management Organization (NWMO), on behalf of OPG, is currently preparing an Environmental Impact Statement (EIS) and Preliminary Safety Report (PSR) for the proposed repository. This involves investigation of the site’s geological and surface environmental characteristics, conceptual design of the DGR, and technical studies to demonstrate the operational and long-term safety of the proposed facility. A preliminary postclosure safety assessment (SA) was undertaken in 2008 and 2009. Consistent with the guidelines for the preparation of the EIS for the DGR and the regulatory guide on assessing the long-term safety of radioactive waste management, the SA evaluated the DGR’s performance and its potential impact on human health and the environment through pathway analysis of contaminant releases, contaminant transport, receptor exposure and potential effects. Consideration was given to the expected long-term evolution of the repository and site following closure (the Normal Evolution Scenario) and four disruptive (“what if”) scenarios (Human Intrusion, Severe Shaft Seal Failure, Open Borehole, and Extreme Earthquake), which considered events with uncertain or low probability that could disrupt the repository system. Conceptual and mathematical models were developed and then implemented in a range of software tools including AMBER, to provide estimates of impacts such as dose, FRAC3DVS, for detailed 2D and 3D groundwater flow and transport calculations, and T2GGM, a code that couples the Gas Generation Model (GGM) and TOUGH2 and models the generation of gas in the repository and its subsequent 2D transport through the geosphere. Calculations have been undertaken to assess the impact of radionuclides on human and non-human biota and the impact of non-radioactive species on humans and the environment. The results indicate that the DGR system provides a high level of postclosure safety.
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Keng, Chai Yoke, Fam Pei Shan, Kunio Shimizu, Tomoaki Imoto, Habibah Lateh, and Koay Swee Peng. "Application of vector autoregressive model for rainfall and groundwater level analysis." In PROCEEDINGS OF THE 24TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES: Mathematical Sciences Exploration for the Universal Preservation. Author(s), 2017. http://dx.doi.org/10.1063/1.4995940.

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Niţescu, E., I. Moruz, C. Niţescu, E. Chiorescu, and Şt Popescu. "Mathematical model and technology to provide new resources of groundwater for irrigations." In WATER RESOURCES MANAGEMENT IV. Southampton, UK: WIT Press, 2007. http://dx.doi.org/10.2495/wrm070311.

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JAVA, Oskars. "SIGNIFICANCE OF THINNING DEGRADED SWAMPS FOREST STANDS IN SUSTAINABLE ECOSYSTEM`S DEVELOPMENT." In RURAL DEVELOPMENT. Aleksandras Stulginskis University, 2018. http://dx.doi.org/10.15544/rd.2017.104.

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In scope of biodiversity and sustainable ecosystem development swamps ecosystem restoration is important, because by eradicating the effect of drainage in swamps, negative impact on adjacent intact or relatively intact raised swamps and hydrological regime of other wetlands is lowered. Tree cutting in degraded swamps forest stands would speed up restoration of ecosystems disturbed hydrological regime. Habitat conservation value in long-term is the same as for habitat 7110* Intact raised swamps, as in case of hydrological regime restoration, within time it will transform into 7110*. Several specially protected plant species can be found only in raised swamps. Tree stand transpiration volume varies depending on air temperature and solar radiation. Since in reality it is impossible to change air temperature or solar radiation in order to increase the groundwater level in a swamp, we can reduce the leaf area index (LAI) which is the most significant value influencing transpiration by cutting down trees. Aim of this paper is to examine how LAI interacts with groundwater level by using system dynamics swamps ecosystem model. Swamps ecosystem model shows correlation between LAI and groundwater level. As a result of this research author observes, that LAI interacts groundwater level and system dynamics modelling could be useful to calculate degraded swamps forest stands thinning intensity through mathematical relationships.
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Alzoubi, Mahmoud A., and Agus P. Sasmito. "Development and Validation of Enthalpy-Porosity Method for Artificial Ground Freezing Under Seepage Conditions." In ASME 2018 5th Joint US-European Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/fedsm2018-83473.

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Groundwater flow has an undesirable effect on ice growth in artificial ground freezing (AGF) process: high water flow could hinder the hydraulic sealing between two freeze pipes. Therefore, a reliable prediction of the multiphysics ground behavior under seepage flow conditions is compulsory. This paper describes a mathematical model that considers conservation of mass, momentum, and energy. The model has been derived, validated, and implemented to simulate the multiphase heat transfer between freeze pipes and surrounded porous ground structure with and without the presence of groundwater seepage. The paper discusses, also, the influence of the coolant’s temperature, the spacing between two freeze pipes, and the seepage temperature on time needed to create a closed, frozen wall. The results indicate that spacing between two pipes and seepage velocity have the highest impact on the closure time and the frozen body width.
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Rajesh, P., M. Karthikeyan, and R. Arulpavai. "Data mining approaches to predict the factors that affect the groundwater level using stochastic model." In RECENT TRENDS IN PURE AND APPLIED MATHEMATICS. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5135254.

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Yakhshibaev, Rustam, Boburkhon Turaev, Khudoyorkhon Jamolov, Nozima Atadjanova, Elena Kim, and Nargiza Sayfullaeva. "Development of a mathematical model for balancing the level and device for remote monitoring of groundwater parameters." In 2021 International Conference on Information Science and Communications Technologies (ICISCT). IEEE, 2021. http://dx.doi.org/10.1109/icisct52966.2021.9670022.

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Wang, Yulin, Kanghe Xie, and Xiaohua Zhao. "Mathematical Model and Analytical Solution for Groundwater Seepage in Confined Aquifer Subjected to Well Pumping without Penetrating Overlying Aquiclude." In 2017 International Conference on Applied Mathematics, Modeling and Simulation (AMMS 2017). Paris, France: Atlantis Press, 2017. http://dx.doi.org/10.2991/amms-17.2017.50.

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Dyvak, Mykola, Roman Pasichnyk, and Iryna Voytyuk. "Mathematical Model of Soil and Groundwater Contamination by Nitrogen Dioxide Taking Into Account the Factors Influencing the Diffusion Coefficient." In 2021 11th International Conference on Advanced Computer Information Technologies (ACIT). IEEE, 2021. http://dx.doi.org/10.1109/acit52158.2021.9548399.

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Reports on the topic "Groundwater Mathematical models"

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L52112 Bicarbonate�ClO4S-3 and CO2 on Crack Initiation and Propagation. Chantilly, Virginia: Pipeline Research Council International, Inc. (PRCI), January 2005. http://dx.doi.org/10.55274/r0011110.

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~~The primary aim of the studies described here was to improve the success of soil-based SCC site selection models by identifying groundwater constituents that lead to enhanced SCC susceptibility. Different aspects of the overall low-pH SCC process are considered, including: The development of trapped water, Crack initiation, and Early-stage crack growth. A mathematical modeling approach has been taken to investigate the development of trapped water from the surrounding groundwater. The coupled mass transport, chemical, and electrochemical processes within a disbondment of variable geometry represents a complex mathematical problem.
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