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 220.127.116.11 Introduction 18.104.22.168 Specific discharge 22.214.171.124 Hydraulic gradient 1.1.6 Hydraulic conductivity 126.96.36.199 Introduction 188.8.131.52 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 184.108.40.206 General equation 220.127.116.11 Dupuit's approximation 1.2.4 Boundary and initial conditions18.104.22.168 Main boundary types 22.214.171.124 Submerged boundaries 126.96.36.199 Impervious boundaries 188.8.131.52 Seepage boundaries 184.108.40.206 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 220.127.116.11 Orthogonality 18.104.22.168 Galerkin's approach 22.214.171.124 "Weak solutions'' 126.96.36.199 Variational notation 2.5.5 Time-dependent solutions 2.6 Addenda to Chapter 2 2.6.1 Addendum 2.1: Classification of second order linearpartial 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 squaredresiduals 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 188.8.131.52 Hydraulic tests at "core sample'' scale 184.108.40.206 Hydraulic tests at "borehole integral core'' scale 220.127.116.11 Hydraulic tests at "cluster of boreholes'' scale 18.104.22.168 Hydraulic tests at "aquifer'' scale 3.6.3 Hydraulic connectivity appraisal 22.214.171.124 Dynamic correlations of WT time series 126.96.36.199 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 188.8.131.52 Preliminaries 184.108.40.206 Gauss-Seidel iterative routine 220.127.116.11 Crank-Nicholson iterative routine 4.3 Finite differences algorithms for fractured rock masses 4.3.1 Preliminaries 4.3.2 Steady-state solutions 18.104.22.168 Dupuit's approximation 22.214.171.124 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