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4 - Groundwater flow and transport

Published online by Cambridge University Press:  06 December 2010

By
J. Carrera  and
S. A. Mathias
Edited by
Howard S. Wheater ,
Simon A. Mathias  and
Xin Li
Howard S. Wheater
Affiliation:
Imperial College of Science, Technology and Medicine, London
Simon A. Mathias
Affiliation:
University of Durham
Xin Li
Affiliation:
Chinese Academy of Sciences, Lanzhou, China
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Summary

INTRODUCTION

A model is an entity built to reproduce some aspect of the behaviour of a natural system. In the context of groundwater, aspects to be reproduced may include: groundwater flow (heads, water velocities, etc.); solute transport (concentrations, solute fluxes, etc.); reactive transport (concentrations of chemical species reacting among themselves and with the solid matrix, minerals dissolving or precipitating, etc.); multiphase flow (fractions of water, air, non-aqueous phase liquids, etc.); energy (soil temperature, surface radiation, etc.); and so forth.

Depending on the type of description of reality that one is seeking (qualitative or quantitative), models can be classified as conceptual or mathematical. A conceptual model is a qualitative description of ‘some aspect of the behaviour of a natural system’. This description is usually verbal, but may also be accompanied by figures and graphs. In the groundwater flow context, a conceptual model involves defining the origin of water (areas and processes of recharge) and the way it flows through and exits the aquifer. In contrast, a mathematical model is an abstract description (abstract in the sense that it is based on variables, equations and the like) of ‘some aspect of the behaviour of a natural system’. However, the motivation of mathematical models is not abstract, but to aid quantification. For example, a mathematical model of groundwater flow should yield the time evolution of heads and fluxes (water movements) at every point in the aquifer.

Type
Chapter
Information
Groundwater Modelling in Arid and Semi-Arid Areas , pp. 39 - 62
Publisher: Cambridge University Press
Print publication year: 2010

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