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Scaling the ground water flow equation
HYDROGEOLOGYzGROUNDWATER
258A
The hydroelectric power plant which will exclusively use water from a lcarst underground storage basin will be built in the vicinity of the abundant karst spring Ombla in Croatia. This paper presents the results obtained by hydrogeologic, hydrologic and hydraulic investigations related to the principles of ground water circulation in the karst. It was established that in three small springs, Zaton, Zavrelje and Slavljan, water overtlows from the Ombla Spring in periods of high ground water levels. It was also discovered that at certain periods the Dupuit expression for steady-state flow in an unconfined aquifer can be used. In accordance with this, it was possible to determine the values of hydraulic conductivity, K (in m s-l), for the Ombla aquifer. (from Author) 9!%055 Some exact solutions of convectiondiffhsioa and diffusion
956059 Scaling tbe ground water flow equation M. H. Nachabe & H. J. Morel-Seytoux, Hydrology, 164(1-4), 1995, pp 345361.
Journal of
Stochastic representation of aquifer parameters is adopted to incorporate their macroscopic variability into modeling the megascopic flow of ground water. The utility of the megascopic formulation of the ground water flow equation is demonstrated for the case of an aquifer in hydraulic conneo tion with a stream. The small-scale macroscopic variability of aquifer transmissivity influences the megascopic behavior of the flow in the aquifer in both space and time. Use of the discrete kernels approach is proposed to reduce the amount of computations in stochastic ground water models. (from Authors)
k?iptiOll!?
Water Resources Research, 30(12), 1994, pp
J.Mt3!lip,
-
.
There is continuing interest in exact solutions of convectiondiffusion and diffusion equations relevant to problems of transport in porous media arising, from example, in hydrology and chemical engineering. This paper examines solutions of the convectiondiffision equation during steady radial flow in two and three dimensions with diffusivity proportional to P, with P the Peclet number. Exact instantaneous and continuous point source solutions for radial flow in two and three dimensions are established. In general, finite difference methods are needed for arbitrary n. Relevant instantaneous and continuous point source diffision solutions are developed for radial two- and threedimensional systems. These represent small-time solutions useful for initiating the finite difference solutions for convection-diffusion with arbitrary n. (from Author) 956856 An exact solution of tbe nonlinear diffusion equation A. Icha, Bulletin - Polish Academy of Sciences: Earth Sciences, 42(l), 1994, pp 1-5. An exact solution of a nonlinear diffusion equation with a power law diffusion coefficient is obtained. A generalized definition for invariance of partial differential equation, proposed by Fushchich and Tsifra, is used. (Author) 956057 Near-surface aad deep groundwaters K. P. Seiler & W. Lindner, Journal of Hydrology, 165(1-4), 1995, pp 33-44. The exploitation of deep groundwaters mostly causes longterm non-steady state conditions, large-scale changes of flow patterns of the groundwaters and hydraulic short circuits to shallow aquifers. Thus, persistent contaminants may penetrate extraction wells in deep groundwaters even if the wells are believed to be well protected against pollution. In deep groundwaters it is difficult to apply the conventional use of groundwater protection zones to prevent this kind of intrusion of contaminants. (from Authors)
Katimating aquifer traasmissivitiez - on the value of auxiliary data H. Kupfersberger & G. Bloschl, Journal of Hydrology, 165(1-4), 1995, pp 85-99. Groundwater quality modelling relies heavily on the knowledge of preferential flowpaths such as buried stream channels and their distribution within the aquifer. This paper examines the extent to which these patterns may be identified by including auxiliary data, such as transvere electric resistances or specific capacities, when estimating the transmissivity field. The analyses are based on two hypothetical aquifers. Results indicate that, in the organised case with no auxiliary information, the estimated widths are substantially biased. This bias can be reduced significantly by including auxiliary data, even when poorly correlated to transmissivity. Auxiliary data also reduce the scatter of the estimated widths signiticandy, which is a measure of the accuracy of the estimates. (from Authors)
956061 Eulerian-Lagrangian approach approach for modeling of flow and transport in beterogeneous ge&gical formations A. Bellin, Y. Rubin & A. Rinaldo, Water ‘Resources Research, 30(11), 1994, pp 2913-2924. Presents a new Eulerian-Lagrangian method for modeling flow and transport of passive solutes in heterogeneous porous formations. The physically plausible random velocity fields are generated by a geostatistical based model. The ability of the method to correctly reproduce the velocity field statistics and to satisfy mass balance is tested and demonstrated for the case of two-dimensional flow. This new method is employed to compute the probability distribution functions of the concentration and travel thnes and to investigate the limitations of existing methods for predicting concentrations. (from Authors)
9!%858 Flow of variable-density formation water in deep sloping aquifers: review of metbods of representation with case studies S. Bachu, Journal of Hydrology, 164(1-4), 1995, pp 19-38.
956062 On tbe vectorization of finite element codes for bigbperformance computers H. Zhang, F. W. Schwartz & E. A. Sudicky, Water Resources Research, 30(12), 1994, pp, 3553-3559.
Distributions of freshwater hydraulic heads have been, and continue to be, used in the representation and analysis of groundwater flow, including the flow of variable-properties formation water in deep sloping aquifers. A review of representation and analysis methods for the flow of variable-properties formation water in deep sloping aquifers is illustrated with two case studies from the Alberta and Llanos sedimentary basins. (from Author)
This paper presents strategies for vectorixing finite element codes in simulating large groundwater flow and transport problems. The approaches take advantage of vector-processing capabilities of the Cray Y-MP by regulating the nodeelement and node-node relationships. Regularization is achieved by adding auxiliary nodes and elements around the simulation domain. Tbe vectorixation schemes are illustrated using the code VapourT. (from Authors)
258A
The hydroelectric power plant which will exclusively use water from a lcarst underground storage basin will be built in the vicinity of the abundant karst spring Ombla in Croatia. This paper presents the results obtained by hydrogeologic, hydrologic and hydraulic investigations related to the principles of ground water circulation in the karst. It was established that in three small springs, Zaton, Zavrelje and Slavljan, water overtlows from the Ombla Spring in periods of high ground water levels. It was also discovered that at certain periods the Dupuit expression for steady-state flow in an unconfined aquifer can be used. In accordance with this, it was possible to determine the values of hydraulic conductivity, K (in m s-l), for the Ombla aquifer. (from Author) 9!%055 Some exact solutions of convectiondiffhsioa and diffusion
956059 Scaling tbe ground water flow equation M. H. Nachabe & H. J. Morel-Seytoux, Hydrology, 164(1-4), 1995, pp 345361.
Journal of
Stochastic representation of aquifer parameters is adopted to incorporate their macroscopic variability into modeling the megascopic flow of ground water. The utility of the megascopic formulation of the ground water flow equation is demonstrated for the case of an aquifer in hydraulic conneo tion with a stream. The small-scale macroscopic variability of aquifer transmissivity influences the megascopic behavior of the flow in the aquifer in both space and time. Use of the discrete kernels approach is proposed to reduce the amount of computations in stochastic ground water models. (from Authors)
k?iptiOll!?
Water Resources Research, 30(12), 1994, pp
J.Mt3!lip,
-
.
There is continuing interest in exact solutions of convectiondiffusion and diffusion equations relevant to problems of transport in porous media arising, from example, in hydrology and chemical engineering. This paper examines solutions of the convectiondiffision equation during steady radial flow in two and three dimensions with diffusivity proportional to P, with P the Peclet number. Exact instantaneous and continuous point source solutions for radial flow in two and three dimensions are established. In general, finite difference methods are needed for arbitrary n. Relevant instantaneous and continuous point source diffision solutions are developed for radial two- and threedimensional systems. These represent small-time solutions useful for initiating the finite difference solutions for convection-diffusion with arbitrary n. (from Author) 956856 An exact solution of tbe nonlinear diffusion equation A. Icha, Bulletin - Polish Academy of Sciences: Earth Sciences, 42(l), 1994, pp 1-5. An exact solution of a nonlinear diffusion equation with a power law diffusion coefficient is obtained. A generalized definition for invariance of partial differential equation, proposed by Fushchich and Tsifra, is used. (Author) 956057 Near-surface aad deep groundwaters K. P. Seiler & W. Lindner, Journal of Hydrology, 165(1-4), 1995, pp 33-44. The exploitation of deep groundwaters mostly causes longterm non-steady state conditions, large-scale changes of flow patterns of the groundwaters and hydraulic short circuits to shallow aquifers. Thus, persistent contaminants may penetrate extraction wells in deep groundwaters even if the wells are believed to be well protected against pollution. In deep groundwaters it is difficult to apply the conventional use of groundwater protection zones to prevent this kind of intrusion of contaminants. (from Authors)
Katimating aquifer traasmissivitiez - on the value of auxiliary data H. Kupfersberger & G. Bloschl, Journal of Hydrology, 165(1-4), 1995, pp 85-99. Groundwater quality modelling relies heavily on the knowledge of preferential flowpaths such as buried stream channels and their distribution within the aquifer. This paper examines the extent to which these patterns may be identified by including auxiliary data, such as transvere electric resistances or specific capacities, when estimating the transmissivity field. The analyses are based on two hypothetical aquifers. Results indicate that, in the organised case with no auxiliary information, the estimated widths are substantially biased. This bias can be reduced significantly by including auxiliary data, even when poorly correlated to transmissivity. Auxiliary data also reduce the scatter of the estimated widths signiticandy, which is a measure of the accuracy of the estimates. (from Authors)
956061 Eulerian-Lagrangian approach approach for modeling of flow and transport in beterogeneous ge&gical formations A. Bellin, Y. Rubin & A. Rinaldo, Water ‘Resources Research, 30(11), 1994, pp 2913-2924. Presents a new Eulerian-Lagrangian method for modeling flow and transport of passive solutes in heterogeneous porous formations. The physically plausible random velocity fields are generated by a geostatistical based model. The ability of the method to correctly reproduce the velocity field statistics and to satisfy mass balance is tested and demonstrated for the case of two-dimensional flow. This new method is employed to compute the probability distribution functions of the concentration and travel thnes and to investigate the limitations of existing methods for predicting concentrations. (from Authors)
9!%858 Flow of variable-density formation water in deep sloping aquifers: review of metbods of representation with case studies S. Bachu, Journal of Hydrology, 164(1-4), 1995, pp 19-38.
956062 On tbe vectorization of finite element codes for bigbperformance computers H. Zhang, F. W. Schwartz & E. A. Sudicky, Water Resources Research, 30(12), 1994, pp, 3553-3559.
Distributions of freshwater hydraulic heads have been, and continue to be, used in the representation and analysis of groundwater flow, including the flow of variable-properties formation water in deep sloping aquifers. A review of representation and analysis methods for the flow of variable-properties formation water in deep sloping aquifers is illustrated with two case studies from the Alberta and Llanos sedimentary basins. (from Author)
This paper presents strategies for vectorixing finite element codes in simulating large groundwater flow and transport problems. The approaches take advantage of vector-processing capabilities of the Cray Y-MP by regulating the nodeelement and node-node relationships. Regularization is achieved by adding auxiliary nodes and elements around the simulation domain. Tbe vectorixation schemes are illustrated using the code VapourT. (from Authors)