Fractured Rock Hydraulics (Hardcover)

Introduction

• Fractured rock hydraulics
• Scope

1. Fundamentals

• 1.1 Basic concepts
• 1.1.1 Pseudo-continuity
• 1.1.2 Observation scale
• 1.1.3 Description at different scales
• 1.1.4 Representative elementary volume
• 1.1.5 Hydraulic variables
• 1.1.5.1 Introduction
• 1.1.5.2 Specific discharge
• 1.1.5.3 Hydraulic gradient
• 1.1.6 Hydraulic conductivity
• 1.1.6.1 Introduction
• 1.1.6.2 Fractures and conduits
• 1.2 Governing equations
• 1.2.1 Preliminaries
• 1.2.2 Energy conservation principle: Darcy’s law
• 1.2.3 Mass conservation principle: continuity equation 3
• 1.2.3.1 General equation
• 1.2.3.2 Dupuit’s approximation
• 1.2.4 Boundary and initial conditions
• 1.2.4.1 Main boundary types
• 1.2.4.2 Submerged boundaries
• 1.2.4.3 Impervious boundaries
• 1.2.4.4 Seepage boundaries
• 1.2.4.5 Unconfined groundwater-air interface
• 1.3 Addenda to Chapter 1
• 1.3.1 Addendum 1.1: Effective velocity and specific discharge
• 1.3.2 Addendum 1.2: Hydrodynamic gradient
• 1.3.3 Addendum 1.3: Hydraulic conductivity for randomly fractured subsystems
• 1.3.4 Addendum 1.4: Energy conservation principle
• 1.3.5 Addendum 1.5: Mass conservation principle

2. Approximate solutions

• 2.1 Overview
• 2.2 Differential operators
• 2.3 Uniqueness of solutions
• 2.4 Approximate solution errors
• 2.5 Approximation methods
• 2.5.1 Preliminaries
• 2.5.2 Collocation method
• 2.5.3 Least squares method
• 2.5.4 Galerkin’s method
• 2.5.4.1 Orthogonality
• 2.5.4.2 Galerkin’s approach
• 2.5.4.3 "Weak solutions’’
• 2.5.4.4 Variational notation
• 2.5.5 Time-dependent solutions
• 2.6 Addenda to Chapter 2
• 2.6.1 Addendum 2.1: Classification of second order linear
• partial differential equations
• 2.6.2 Addendum 2.2: Minimisation of the sum of the squared residuals
• 2.6.3 Addendum 2.3: Minimisation of the sum of the squared
• residuals transformed by the differential operators DV and DN
• 2.6.4 Addendum 2.4: The concept of "orthogonality’’

3. Data analysis

• 3.1 Preliminaries
• 3.2 Analysing geological features
• 3.3 Handling of hydraulic head data
• 3.3.1 Variation in time
• 3.3.2 Variation in space
• 3.4 Handling of flow rate data
• 3.5 Handling of hydraulic conductivity data
• 3.5.1 Preliminaries
• 3.6 Hydraulic transmissivity and connectivity
• 3.6.1 Preliminaries
• 3.6.2 Hydraulic conductivity appraisal
• 3.6.2.1 Hydraulic tests at "core sample’’ scale
• 3.6.2.2 Hydraulic tests at "borehole integral core’’ scale
• 3.6.2.3 Hydraulic tests at "cluster of boreholes’’ scale
• 3.6.2.4 Hydraulic tests at "aquifer’’ scale
• 3.6.3 Hydraulic connectivity appraisal
• 3.6.3.1 Dynamic correlations of WT time series
• 3.6.3.2 Filtering WT contour maps
• 3.7 Modelling hydrogeological systems
• 3.7.1 Concepts
• 3.7.2 Guidelines to conceptual models

4. Finite differences

• 4.1 Preliminaries
• 4.2 Finite difference basics
• 4.2.1 Difference equations
• 4.2.2 Finite differences
• 4.2.3 Difference equations for steady-state systems
• 4.2.4 Difference equations for unsteady-state systems
• 4.2.5 Difference equations for boundary conditions
• 4.2.6 Simultaneous difference equations
• 4.2.6.1 Preliminaries
• 4.2.6.2 Gauss-Seidel iterative routine
• 4.2.6.3 Crank-Nicholson iterative routine
• 4.3 Finite differences algorithms for fractured rock masses
• 4.3.1 Preliminaries
• 4.3.2 Steady-state solutions
• 4.3.2.1 Dupuit’s approximation
• 4.3.2.2 3D algorithms
• 4.3.3 Transient solutions

Subject Index