uncertainties of, 238-243
Groundwater simulation-economic
management models, 292-293
H
Harmonie mean, 79
Hermite basis functions, 110
Hermite element, 108-109
Heterogeneous fluid, 188
High-order elements, 105-107
Higher-order finite element
interpolation, 180
Homogeneous fluid, 188
Hybrid moving point-characteristics
finite element method, 182-186
Hybrid single step reverse-moving point
method,180-182
Hydraulic conductivity, 18
Hydraulic economic response models,
291-292
Hydraulic management models, 276
Hydrodynamic dispersion, 21, 23
coefficients of, 33-39
mechanisms of, 21-23
in porous media, 9-48
Hydrodynamic dispersion coefficient, 31
Hydrodynamic dispersion equations,
27-33,187
analytic solutions of, 50-72
finite element methods for solving,
97-148
integral form of, 32-33
in orthogonal curvilinear coordinate
systems, 39-41
Hydrodynamic dispersion flux, 31
Hydrodynamic dispersion models,
187-190
Hydrodynamic dispersion phenomena,
20-21
Hydrodynamic dispersion system, 188
I
Identifiability, 231-233
Image method, 52-54
Implicit ditTerence scheme, 75
Indirect determination, 217
Influence coefficient, 282
Index
373
Influence matrix method, 280, 283
Initial condition(s), 45, 97, 126
Injection, 42
Instability of inverse solutions, 231
Interfaces, numerical methods for
determining location of, 269-271
Interpolation functions, 117
Inverse convolution, 197
Inverse problem, 6
Ion exchange, 16, 23, 43
Isoparametrie finite element method
(FEM), 112, 128
Isotropie case, 236
Isotropie medium, 19
J
Jacobian matrix, 112, 131
K
Kinematic viscosity, 14
Kinetic equations, 187
Kriging method, 237, 244
Kronecker delta, 37
L
LI-norm criterion, 226
Laboratory scale, 12,204-205
Lagrangian-Eulerian method(s), 155
with zoomable hidden fine-grid
(LEZOOM),185
Lagrangian methods, 154
Lagrangian viewpoint, 85
Laplace transform, 57
Laplace transform Galerkin (L TG)
method, 186,262
Large-scale field dispersion experiments,
213
Layer-by-Iayer iteration method, 147
Least squares criteria, 203
generalized, 225
Least squares identifiability, 232
Line source problem, 53
Linear basis functions, 103-104
Linear element, 107
Linear equilibrium isotherm
relationship, 44
Groundwater simulation-economic
management models, 292-293
H
Harmonie mean, 79
Hermite basis functions, 110
Hermite element, 108-109
Heterogeneous fluid, 188
High-order elements, 105-107
Higher-order finite element
interpolation, 180
Homogeneous fluid, 188
Hybrid moving point-characteristics
finite element method, 182-186
Hybrid single step reverse-moving point
method,180-182
Hydraulic conductivity, 18
Hydraulic economic response models,
291-292
Hydraulic management models, 276
Hydrodynamic dispersion, 21, 23
coefficients of, 33-39
mechanisms of, 21-23
in porous media, 9-48
Hydrodynamic dispersion coefficient, 31
Hydrodynamic dispersion equations,
27-33,187
analytic solutions of, 50-72
finite element methods for solving,
97-148
integral form of, 32-33
in orthogonal curvilinear coordinate
systems, 39-41
Hydrodynamic dispersion flux, 31
Hydrodynamic dispersion models,
187-190
Hydrodynamic dispersion phenomena,
20-21
Hydrodynamic dispersion system, 188
I
Identifiability, 231-233
Image method, 52-54
Implicit ditTerence scheme, 75
Indirect determination, 217
Influence coefficient, 282
Index
373
Influence matrix method, 280, 283
Initial condition(s), 45, 97, 126
Injection, 42
Instability of inverse solutions, 231
Interfaces, numerical methods for
determining location of, 269-271
Interpolation functions, 117
Inverse convolution, 197
Inverse problem, 6
Ion exchange, 16, 23, 43
Isoparametrie finite element method
(FEM), 112, 128
Isotropie case, 236
Isotropie medium, 19
J
Jacobian matrix, 112, 131
K
Kinematic viscosity, 14
Kinetic equations, 187
Kriging method, 237, 244
Kronecker delta, 37
L
LI-norm criterion, 226
Laboratory scale, 12,204-205
Lagrangian-Eulerian method(s), 155
with zoomable hidden fine-grid
(LEZOOM),185
Lagrangian methods, 154
Lagrangian viewpoint, 85
Laplace transform, 57
Laplace transform Galerkin (L TG)
method, 186,262
Large-scale field dispersion experiments,
213
Layer-by-Iayer iteration method, 147
Least squares criteria, 203
generalized, 225
Least squares identifiability, 232
Line source problem, 53
Linear basis functions, 103-104
Linear element, 107
Linear equilibrium isotherm
relationship, 44