4 edition of Mathematical modelling of ground-water flow found in the catalog.
Mathematical modelling of ground-water flow
Bibliography: p. 91-92.
|Series||VITUKI közlemények ; 8, VITUKI közlemények ;, 8.|
|LC Classifications||GB1197.7 .K68|
|The Physical Object|
|Pagination||92 p. :|
|Number of Pages||92|
|LC Control Number||79319019|
This book provides, under one cover, the current methodologies needed by groundwater scientists and engineers in their efforts to evaluate subsurface contamination problems, to estimate risk to human health and ecosystems through mathematical models, and to design and formulate appropriate remediation strategies. The study of kinetic equations related to gases, semiconductors, photons, traffic flow, and other systems has developed rapidly in recent years because of its role as a mathematical tool in many appli.
Groundwater constitutes an important component of many water resource systems, supplying water for domestic use, for industry, and for agriculture. Management of a groundwater system, an aquifer, or a system of aquifers, means making such decisions as to the total quantity of water to be withdrawn annually, the location of wells for pumping and for artificial recharge and their rates, and 5/5(1). Scientists and engineers have been using ground-water flow models to study ground-water flow systems for more than 20 years. The basic modeling process seems to be relatively straightforward. Initially, a sound conceptual model is formed and is translated into a tractable, mathematical model.
The composite flow model is superior to the saturated flow model (when based only on saturated flows), first, by accounting for the time of transfer of infiltration at the ground surface as recharge to the water table. Second, the general assumption of equal flux at the soil surface and at the water table is . It presents a formal set of mathematical equations for the description of groundwater flow and pollution problems using the concept of non-integer order derivative. Both advantages and disadvantages of models with fractional operators are discussed.
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“This book is a comprehensive and authoritative treatise of groundwater flow and transport modeling. It provides easy-to-follow descriptions of basic concepts, governing equations, relevant parameters, methods of measurement and observation, numerical solution methods, and interpretation of results, for real-world by: In modelling studies of groundwater flow, it is common to assume that the water table is coincident with the land surface and that water at this boundary would be fresh, thus it is acceptable to assign a boundary to the top surface that allows flow to pass through it.
Mathematical modelCited by: Ground-water flow modeling is an important tool fre-quently used in studies of ground-water systems. Reviewers and users of these studies have a need to evaluate the accuracy or reasonableness of.
Contaminant plume Groundwater flow velocity ud Cout= e (t) Source mass m (t) Cross-sectional area A, FIGURE 2.P.2 Conceptual model of DNAPL source.
Mathematical models of groundwater ﬂow have been used since the late s. A mathematical model consists of diﬀerential equations developed from ana- lyzing groundwater ﬂow (or solute transport in groundwater) and are known to govern the physics of ﬂow (and transport).
Groundwater flow models are necessarily simplified mathematical representations of complex natural systems.
Because of this, there are limits to the accuracy with which groundwater systems can be simulated. These limitations must be known when using models and interpreting model results. There are many sources of error and uncertainty in models.
Groundwater models include physical (laboratory) models and mathematical models including process-based numerical models, which are the focus of this book. Most groundwater models are developed for forecasting (prediction), but models may also reconstruct past conditions in hindcasting simulations and perform engineering calculations.
In this study, a mathematical model of groundwater flow is established to estimate the seepage field induced by single-well recharge. In this model, well clogging is considered under the assumption that the permeability coefficient is exponentially decayed.
Search within book. Front Matter. Pages I-IX. PDF. Introduction. Karel Kovarik. Pages Basic Equations of Groundwater Flow. Karel Kovarik. Weighted Residuals Method.
Karel Kovarik. Pages Mathematical Models of Groundwater Flow. Karel Kovarik. Pages Mathematical Models of Transport of Miscible Pollutants. Microfluidics: Modeling, Mechanics and Mathematics A volume in Micro and Nano Technologies.
Analytical Solutions to Poiseuille Flow Problems in Different Geometries. Book chapter Full text access. Chapter 16 - Analytical Solutions to Poiseuille Flow Problems in Different Geometries pitfalls and troubleshooting, this book supplies. United States with a discussion of principals) and the book titled Hydrology.
- InC.V. Theis recognized the analogy between groundwater flow and heat flow. Why is this important. o At that time the mathematical characterization of heat flow was well developed, while the mathematics of groundwater flow were not.
The basic approach of this book is to accurately describe the underlying physics of groundwater flow and solute transport in heterogeneous porous media, starting at the microscopic level, and to rigorously derive their mathematical representation at the macroscopic levels.
Analytic Element Modeling of Grounwater Flow provides all the basics necessary to approach AEM successfully, including a presentation of fundamental concepts and a thorough introduction to Dupuit-Forchheimer flow. This text is unique in its emphasis on the actual use of analytic element s: 1.
Water Pollution is a subject of growing concern in our industrial world. The environmental problems caused by the increase of pollutant loads dis charged into natural water systems have led the scientific community to pursue studies capable of relating the pollutant discharge with changes in the water quality.
' EOS, November `This is a book that will be of great use to teachers, researchers, and practitioners in groundwater.' Hydrological Sciences Journal `This is a fine book that deserves a place on the shelf of any geotechnical engineer who uses numerical mathematical modeling to analyze problems of groundwater flow and transport.' A.
A mathematical model is a description of a system using mathematical concepts and process of developing a mathematical model is termed mathematical atical models are used in the natural sciences (such as physics, biology, earth science, chemistry) and engineering disciplines (such as computer science, electrical engineering), as well as in the social sciences (such.
Flow of fluids at the scale of the pores Darcy's law: pressure and head Pressure formulation of the general groundwater flow equation Darcy's law in terms of hydraulic head and conductivity The hydraulic head governing equation of groundwater flow Storativity and transmissivity book is devoted to the mathematical formulation of models.
The proceedings edited by Ewing (), Wheeler (), and Chen et al. (A) contain papers on ﬁnite elements for ﬂow and transport problems. There are also books available on ground water hydrology; see Polubarinova-Kochina (), Wang and Anderson (), and Helmig ( Contaminant plume Groundwater flow velocity va Cin = 0 Cout = c (t) Source mass m (0) Cross-sectional area Ag FIGURE 2.P.2 Conceptual model of DNAPL source.
So models deepen our understanding of‘systems’, whether we are talking about a mechanism, a robot, a chemical plant, an economy, a virus, an ecology, a cancer or a brain.
And it is necessary to understand something about how models are made. This book will try to teach you how to build mathematical models and how to use them. Book August However, the input parameters for mathematical models of groundwater flow (such as subsurface transmissivity and boundary conditions) are often impossible to determine.Parameters and variables relevant to formulating a mathematical model of contaminant discharge from the source region are defined in the following table: A.
= cross-sectional area of the source region Da = Darcy groundwater flow velocity m(t) = total DNAPL mass in source region c.(t) = concentration (flow averaged) of dissolved contaminant.Advances in computer technology, in the technology of communication and in mathematical modelling of processes in the hydrological cycle have recently improved our potential to protect ourselves against damage through floods and droughts and to control quantities and qualities in our water systems.