The Groundwater Project

Darcy’s Law in Variable Density Groundwater Systems

Darcys law in variable density groundwater systems COVER
Ano de publicação: 2024
Número de páginas: 60

978-1-77470-099-0

Autor:

Fred Marinelli: Consulting Groundwater Hydrologist, Colorado, USA

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Released: 2 May 2024

Descrição

Although Darcy’s law is one of the fundamental equations used in hydrogeology to describe the movement of groundwater through an aquifer, it has limitations. In this book, we focus on Darcy’s law for one-dimensional flow in a homogeneous porous medium. We begin with a review of the hydraulic head form of Darcy’s law that is familiar to most groundwater hydrologists and discuss the concept of head as a hydraulic potential. Using a thought experiment, we show that the head form of Darcy’s law cannot work for a hypothetical system with variable groundwater. This leads us to the pressure-based form of Darcy’s law, which is more universal and can be used to compute flux in systems with elevated and/or variable-density groundwater. Finally, through illustrative examples, we demonstrate how the pressure-based form can be used to evaluate horizontal and vertical fluxes in flow systems that are not amenable to analysis with the head form of Darcy’s law.

Conteúdo

1 INTRODUCTION

2 HEAD FORM OF DARCY’S LAW

3 HYDRAULIC HEAD AS A POTENTIAL

4 PRESSURE FORM OF DARCY’S LAW

4.1 Effect of Temperature

4.2 Effect of Salinity

4.3 Effect of Pressure

5 SOLUTION OF THE CONVECTION CELL THOUGHT EXPERIMENT

6 APPLICATION OF DARCY’S LAW TO GROUNDWATER SYSTEMS

7 HORIZONTAL FLOW CALCULATIONS

7.1 Estimation of Pressure at the Reference Elevation

7.2 Use of Freshwater Head For Horizontal Flow

7.3 Horizontal Flow Example 1

7.4 Horizontal Flow Example 2

8 VERTICAL FLOW CALCULATIONS

8.1 Vertical Flow Example 1

8.2 Vertical Flow in an Aquitard

8.3 Vertical Flow Example 2

9 CONCLUDING REMARKS

10 EXERCISES

Exercise 1 Flow Through a Slurry Wall

Exercise 2 Leakage Through a Pond Liner

11 REFERENCES

12 EXERCISE SOLUTIONS

13 NOTATIONS

14 ABOUT THE AUTHOR

Interview with the Author