Reply [to “Comment on ‘On time integration of ground water flow equations by spectral methods’ by G. Gambolati”]

1994 ◽  
Vol 30 (7) ◽  
pp. 2353-2355
Author(s):  
Giuseppe Gambolati
Keyword(s):  
Ground Water ◽  
Water Flow ◽  
Spectral Methods ◽  
Time Integration ◽  
Ground Water Flow ◽  
Flow Equations

scholarly journals Comment on “On time integration of ground water flow equations by spectral methods” by G. Gambolati

1994 ◽  
Vol 30 (7) ◽  
pp. 2347-2352 ◽  
Author(s):  
W. Scott Dunbar ◽  
Allan D. Woodbury ◽  
Bahram Nour-Omid
Keyword(s):  
Ground Water ◽  
Water Flow ◽  
Spectral Methods ◽  
Time Integration ◽  
Ground Water Flow ◽  
Flow Equations

scholarly journals Analytical solutions to the stream-aquifer interaction problem: a critical review

2013 ◽  
Vol 12 (2) ◽  
pp. 126-139
Keyword(s):  
Analytical Solution ◽  
Mathematical Models ◽  
Ground Water ◽  
Water Flow ◽  
Water Table ◽  
Analytical Solutions ◽  
Stream Flow ◽  
Boussinesq Equation ◽  
Ground Water Flow ◽  
Flow Equations

The aim of the present paper is to give a systematic and critical presentation of important existing analytical solutions for transient stream-aquifer interaction, which can be used to give answers to simple interaction problems or to verify mathematical models. Stream-aquifer interaction is the most common subject of papers discussing surface water-ground water interaction and a review of analytical solutions to the problem is lacking from the literature. The analytical solutions presented in the paper are firstly distinguished based on whether only the ground water flow equations or both the ground water and stream flow equations are solved for their derivation and secondly based on the type of aquifer (confined or unconfined) interacting with the stream and on the type of equations solved. The literature review showed that there is only a small number of publications, where the authors consider both the ground water and the stream flow equations for the development of the analytical solutions. The majority of the available analytical solutions of stream-aquifer interaction are derived by solving only the ground water flow equations, taking into account the stream water level as a boundary condition. For each analytical solution presented in the paper, its accuracy, its ease of application to simple interaction problems and its suitability for the verification of mathematical models are discussed in detail. Specifically for the case of predicting the water table level in unconfined aquifers interacting with streams, an analytical solution of the non-linear Boussinesq equation is compared to two analytical solutions of different linearized forms of the Boussinesq equation, in order to quantify the error in estimating the water table level when using a linear solution. Among the very few analytical solutions found in the literature, where the authors consider both the stream flow and ground water flow equations for their development, the most comprehensive one is chosen to give an application example, which can be used as a benchmark case for the verification of integrated stream-aquifer mathematical models.

Analytical solution for estimating the influence of a pre-existing ground water flow on a geothermal heat production-injection well system

2011 ◽  
Vol 2 (1) ◽  
pp. 13-17
Author(s):  
I. David ◽  
M. Visescu
Keyword(s):  
Ground Water ◽  
Water Flow ◽  
Geothermal Energy ◽  
Flow Direction ◽  
Energy Resource ◽  
Hot Water ◽  
Injection Well ◽  
Production Well ◽  
Ground Water Flow ◽  
The Earth

Abstract Geothermal energy source is the heat from the Earth, which ranges from the shallow ground (the upper 100 m of the Earth) to the hot water and hot rock which is a few thousand meters beneath the Earth's surface. In both cases the so-called open systems for geothermal energy resource exploitation consist of a groundwater production well to supply heat energy and an injection well to return the cooled water, from the heat pump after the thermal energy transfer, in the underground. In the paper an analytical method for a rapid estimation of the ground water flow direction effect on the coupled production well and injection well system will be proposed. The method will be illustrated with solutions and images for representative flow directions respect to the axis of the production/injection well system.

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