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 22.214.171.124 Introduction 126.96.36.199 Specific discharge 188.8.131.52 Hydraulic gradient 1.1.6 Hydraulic conductivity 184.108.40.206 Introduction 220.127.116.11 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 18.104.22.168 General equation 22.214.171.124 Dupuit's approximation 1.2.4 Boundary and initial conditions 126.96.36.199 Main boundary types 188.8.131.52 Submerged boundaries 184.108.40.206 Impervious boundaries 220.127.116.11 Seepage boundaries 18.104.22.168 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 22.214.171.124 Orthogonality 126.96.36.199 Galerkin's approach 188.8.131.52 "Weak solutions'' 184.108.40.206 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 220.127.116.11 Hydraulic tests at "core sample'' scale 18.104.22.168 Hydraulic tests at "borehole integral core'' scale 22.214.171.124 Hydraulic tests at "cluster of boreholes'' scale 126.96.36.199 Hydraulic tests at "aquifer'' scale 3.6.3 Hydraulic connectivity appraisal 188.8.131.52 Dynamic correlations of WT time series 184.108.40.206 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 220.127.116.11 Preliminaries 18.104.22.168 Gauss-Seidel iterative routine 22.214.171.124 Crank-Nicholson iterative routine 4.3 Finite differences algorithms for fractured rock masses 4.3.1 Preliminaries 4.3.2 Steady-state solutions 126.96.36.199 Dupuit's approximation 188.8.131.52 3D algorithms 4.3.3 Transient solutions Subject Index
Born in 1935, Fernando Olavo Franciss grew up in Rio de Janeiro and was educated as a Civil Engineer in the Pontifical Catholic University of Rio de Janeiro, Brazil. He started his professional career in 1959 by being educated on applied geology by the late and distinguished Prof. Reynold Barbier at the Institut Dolomieu of the University of Grenoble, France. Ten years later, in 1970, he obtained his doctoral degree from the same university. A leading rock engineer, he has gathered a lifetime of international experience in civil engineering practice, often while crossing with other fields such as engineering geology, underground mining and oil reservoir engineering. From 1964 to 1980, he worked as a part time professor at the Pontifical Catholic University of Rio de Janeiro. Until 1991 he worked at Sondotecnica, a reputed Brazilian Consulting Bureau, and since then as an independent consultant. Many now well-known Brazilian experts in civil, earth and water engineering start their professional career closely working with Prof. Franciss, a fact that pleased him very much. During his career, Dr. Franciss has had the chance to devote part of his time to investigate the hydraulics of fractured rocks related to civil works, mining, oil and gas storage caverns and interactions of hydrothermal resources with dam reservoirs. He has accordingly developed a tensor approach to describe the hydraulic properties of fractured rocks and unique finite difference matrix-algorithms to model the hydraulic and hydrothermal behavior of randomly fractured rock masses. He is member of the Brazilian Society for Soil Mechanics and Geotechnical Engineering, the Brazilian Society for Engineering and Environmental Geology, the National Academy of Engineering and the International Society for Rock Mechanics. He has won a number of prestigious awards in Brazil, and has written several papers and a number of books: "Soil and Rock Hydraulics" (Balkema, Rotterdam, 1985), "Weak Rock Tunnelling" (Balkema, Rotterdam, 1994) and a part co-authored with Manoel Rocha on Rock Mass Permeability in 'Structural and Geotechnical Mechanics' by W.J. Hall, Ed. (Prentice Hall, New Jersey, 1976).
"This book is a joy to read because of its extreme clarity, which is further enhanced by the clear layout and the frequent addition of explanatory examples." "I strongly recommend this book to everyone who is involved with fractured rock hydraulics -- whether as student, teacher, researcher or engineer." John A Hudson Emeritus Professor, Imperial College, UK President, International Society for Rock Mechanics