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  • 1
    Monograph available for loan
    Monograph available for loan
    Introduction to the thermodynamically constrained averaging theory for porous medium systems (2014)
    Cham : Springer International Publishing
    Details Availability
    Call number: 5/M 14.0244
    Description / Table of Contents: This unitary resource sets out the derivation of conservation, thermodynamic, and evolution equations used in modeling multiphase porous media systems. It includes detailed, multiscale applications and a forward-looking discussion of open research issues. Thermodynamically constrained averaging theory provides a consistent method for upscaling conservation and thermodynamic equations for application in the study of porous medium systems. The method provides dynamic equations for phases, interfaces, and common curves that are closely based on insights from the entropy inequality. All larger scale variables in the equations are explicitly defined in terms of their microscale precursors, facilitating the determination of important parameters and macroscale state equations based on microscale experimental and computational analysis. The method requires that all assumptions that lead to a particular equation form be explicitly indicated, a restriction which is useful in ascertaining the range of applicability of a model as well as potential sources of error and opportunities to improve the analysis.
    Description / Table of Contents: Chapter 1 Elements of Thermodynamically Constrained Averaging Theory.- Chapter 2 Microscale Conservation Principles.- Chapter 3 Microscale Thermodynamics.- Chapter 4 Microscale Equilibrium Conditions.- Chapter 5 Microscale Closure for a Fluid Phase.- Chapter 6 Macroscale Conservation Principles.- Chapter 7 Macroscale Thermodynamics.- Chapter 8 Evolution Equations.- Chapter 9 Single-Fluid-Phase Flow.- Chapter 10 Single-Fluid-Phase Species Transport.- Chapter 11 Two-Phase Flow.- Chapter 12 Modeling Approach and Extensions.- Appendix A Considerations on Calculus of Variations.- Appendix B Derivations of Averaging Theorems.- Appendix C Constrained Entropy Inequality Derivations.- Index.
    Type of Medium: Monograph available for loan
    Pages: XXXIV, 582 S. : z.T. farb. Ill.
    ISBN: 9783319040097
    Series Statement: Advances in Geophysical and Environmental Mechanics and Mathematics
    Classification:
    Geophysics
    Location: Reading room
    Branch Library: GFZ Library
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  • 2
    Electronic Resource
    Electronic Resource
    A Numerical Model Study of Ground-Water Contamination from Price's Landfill, New Jersey— I. Data Base and Flow Simulation (1983)
    Oxford, UK : Blackwell Publishing Ltd
    Ground water 21 (1983), S. 0 
    Details
    ISSN: 1745-6584
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Energy, Environment Protection, Nuclear Power Engineering , Geosciences
    Notes: Toxic waste contamination is currently threatening the Atlantic City, New Jersey public water-supply wells. The geohydrologic data for this region are presented and organized into a format suitable for a numerical model study of the contamination problem. Presentation of the data in light of numerical work reveals the importance of good estimates of boundary conditions, historical pumping records, reliable water-quality data, accurate well logs, and reasonable parameter estimates. One set of measured head data is simulated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1745-6584.1983.tb00699.x
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  • 3
    Electronic Resource
    Electronic Resource
    A Numerical Model Study of Ground-Water Contamination from Price's Landfill, New Jersey — II. Sensitivity Analysis and Contaminant Plume Simulation (1983)
    Oxford, UK : Blackwell Publishing Ltd
    Ground water 21 (1983), S. 0 
    Details
    ISSN: 1745-6584
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Energy, Environment Protection, Nuclear Power Engineering , Geosciences
    Notes: A numerical model of flow and transport in the vicinity of Price's Landfill and the Atlantic City public water-supply wells is used to estimate the extent of the existing contamination problem. Model parameters such as boundary conditions, pumping rates, permeability, and dispersivity are varied to demonstrate the sensitivity of the model to these quantities. A historical simulation of the past ten years of contamination is obtained and two schemes for remediation of the contamination problem are compared. In the light of this work, additional data requirements are revealed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1745-6584.1983.tb00700.x
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  • 4
    Electronic Resource
    Electronic Resource
    Hydrogeological Research: Just Getting Started (2002)
    Oxford, UK : Blackwell Publishing Ltd
    Ground water 40 (2002), S. 0 
    Details
    ISSN: 1745-6584
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Energy, Environment Protection, Nuclear Power Engineering , Geosciences
    Notes: This paper comments on the current state of knowledge in the field of hydrogeology and claims that fundamental understandings must be developed if creative research is to have maximum impact. Problems of great importance to society include water development and quality, waste disposal, and global cycling of resources. These problems cannot be addressed effectively unless significant advances are made in understanding of a range of challenging scientific issues including fundamental physics, the importance of scale, modeling, and chemical and biological processes. Meaningful advances in hydrogeologic research will require an increased emphasis on fundamental understanding, interdisciplinary approaches, educational reforms, and the attraction of excellent researchers to the field.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1745-6584.2002.tb02650.x
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  • 5
    Electronic Resource
    Electronic Resource
    Velocity Calculation from Randomly Located Hydraulic Heads (1981)
    Oxford, UK : Blackwell Publishing Ltd
    Ground water 19 (1981), S. 0 
    Details
    ISSN: 1745-6584
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Energy, Environment Protection, Nuclear Power Engineering , Geosciences
    Notes: This paper presents a systematic method for approximating hydraulic head gradients from randomly located hydraulic head values. The locations of these head values are connected by straight lines to form a network of triangles. Over each triangle, a plane surface is used to approximate the head values; the gradient of this plane is then taken as the hydraulic gradient. Given values of porosity and hydraulic conductivity, the fluid velocity can be calculated from Darcy's Law.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1111/j.1745-6584.1981.tb03468.x
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  • 6
    Electronic Resource
    Electronic Resource
    Reply to comments by barak on ‘high velocity flow in porous media’ by Hassanizadeh and Gray (1988)
    Springer
    Transport in porous media 3 (1988), S. 319-321 
    Details
    ISSN: 1573-1634
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00235334
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  • 7
    Electronic Resource
    Electronic Resource
    High velocity flow in porous media (1987)
    Springer
    Transport in porous media 2 (1987), S. 521-531 
    Details
    ISSN: 1573-1634
    Keywords: Porous media ; high velocity flow ; non-Darcy flow ; Forchheimer equation ; inertial effects ; constitutive equations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Technology
    Notes: Abstract Experimental observations have established that the proportionality between pressure head gradient and fluid velocity does not hold for high rates of fluid flow in porous media. Empirical relations such as Forchheimer equation have been proposed to account for nonlinear effects. The purpose of this work is to derive such nonlinear relationships based on fundamental laws of continuum mechanics and to identify the source of nonlinearity in equations. Adopting the continuum approach to the description of thermodynamic processes in porous media, a general equation of motion of fluid at the macroscopic level is proposed. Using a standard order-of-magnitude argument, it is shown that at the onset of nonlinearities (which happens at Reynolds numbers around 10), macroscopic viscous and inertial forces are negligible compared to microscopic viscous forces. Therefore, it is concluded that growth of microscopic viscous forces (drag forces) at high flow velocities give rise to nonlinear effects. Then, employing the constitutive theory, a nonlinear relationship is developed for drag forces and finally a generalized form of Forchheimer equation is derived.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00192152
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  • 8
    Electronic Resource
    Electronic Resource
    On normal flow boundary conditions in finite element codes for two-dimensional shallow water flow (1984)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 4 (1984), S. 99-104 
    Details
    ISSN: 0271-2091
    Keywords: Finite Element Method ; Shallow Water Equations ; Boundary Conditions ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Additional Material: 1 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/fld.1650040107
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  • 9
    Electronic Resource
    Electronic Resource
    Analysis of some dispersion corrected numerical schemes for solution of the transport equation (1978)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 12 (1978), S. 387-404 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: In the last decade or so finite element techniques have been applied with increased frequency to contaminant transport problems. Whereas most of the attention has focused on finite element approximations of spatial derivatives, standard finite difference techniques are generally used for approximation of the time derivative. Such an approach yields a scheme which is at best second order correct in time. In this study several higher order approximations of the time derivative are developed and analyzed using a finite difference approximation, and Galerkin-type finite element approximations in conjunction with several sets of basis functions. Results obtained with the different schemes exhibit significant improvements in the numerical solution of the convective-dispersive equation.
    Additional Material: 9 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620120302
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  • 10
    Electronic Resource
    Electronic Resource
    Improved co-ordinate transformations for finite elements: The Lagrange cubic case (1986)
    Chichester [u.a.] : Wiley-Blackwell
    International Journal for Numerical Methods in Engineering 23 (1986), S. 1529-1545 
    Details
    ISSN: 0029-5981
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A modified isoparametric co-ordinate transformation is developed for the case of Lagrange cubic finite elements. This modified transformation produces significant improvements in solution accuracy while eliminating troublesome aspects of the standard isoparametric mapping. In particular, zero Jacobians in the standard transformation, which can occur in elements having non-uniform node spacing, are completely eliminated with the new transformation. Within the analysis, the range of node locations for which the standard transformation is valid (the Jacobian does not vanish) is determined. The treatment of curved sides is discussed and illustrated. Example calculations using two-dimensional serendipity elements show that the new transformation provides solutions that are as much as several orders of magnitude more accurate than those computed using the standard formulation.
    Additional Material: 15 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nme.1620230809
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