374
Index
Linear interpolation, 117
Linear programming, 279
dual, 284
Local coordinate system, 104, 128
Local Courant number, 155
Local dispersion coefficient, 237
Local Peclet number, 123, 155, 160
Local scale, 12, 206-207
Longitudinal dispersion, 23
Longitudinal dispersivity, 35-36
of isotropic medium, 37
LU decomposition method, 144
Lumped parameter models, 196-199
M
Macrodispersivities, 238
Macroscopic advection, 23, 30
Macroscopic approach, 10
Macroscopic dispersivity tensor, 237
Macroscopic level, 9
Macroscopic molecular diffusion, 30
Macroscopic scale, 237
Management equivalence identifiability,
232
Management models, reliability of,
289-291
Mass conservation equation, 25-26
Mass diffusion flux, 24
Mass diffusion velocity, 24
Mass fraction, 13
Mass transport
groundwater flow and
coupled equations of, 191-193
coupled inverse problems of,
223-235
in porous media, 23-24
related parameters in modeling,
297-299
statistic theory of, 235-236
Material derivative, 84
Mathematical models, 4
Maximum likelihood estimation
method,203
Mean equation, 237
Mean flow velocity, 30
determination of, 217-218
Mean macrodispersive flux, 237
Mean mass velocity, 14
Mean pore pressure, 18
Mean travel time, 194
Mean volume velocity, 14
Mechanical dispersion, 22, 30
Mechanical dispersion coefficient, 31
Mechanical dispersion coefficient tensor,
38
Method of characteristics (MOC), 8495,176, 194
modified, 177 -186
Microscopic level, 9
Microscopic method, 9
Mixed FEM, 185
Mixed finite element-finite difference
(FE-ED) method, 135-138
MOC, see Method of characteristics
Modeling errors, 224
Modified characteristics FEM, 184
Modifying function, 159
Molecular diffusion, 22-23, 37
Molecular diffusion coefficient, 25
in porous media, 31, 38
Monte-Carlo method, 243
Moving coordinate method, 154
Moving coordinate system, 55
Moving co ordinate system methods,
172-175
Moving particle, 85
Moving point methods, 154, 176-177
Multi-weil tests, 207, 209
Multicomponent transport, 256
Multilevel management models,
293-294
Multiobjective decision making, 287
Multiple cell balance (MCB) method,
115-125, 138-143
Multiple layer advection-dominated
transport problem, 172
N
Natural co ordinate system, 179
Neumann boundary condition, 45
Non-linear programming problem,
225
Non-uniqueness of inverse solutions,
231
Normal distribution, 92, 236
density function of, 92
Index
Linear interpolation, 117
Linear programming, 279
dual, 284
Local coordinate system, 104, 128
Local Courant number, 155
Local dispersion coefficient, 237
Local Peclet number, 123, 155, 160
Local scale, 12, 206-207
Longitudinal dispersion, 23
Longitudinal dispersivity, 35-36
of isotropic medium, 37
LU decomposition method, 144
Lumped parameter models, 196-199
M
Macrodispersivities, 238
Macroscopic advection, 23, 30
Macroscopic approach, 10
Macroscopic dispersivity tensor, 237
Macroscopic level, 9
Macroscopic molecular diffusion, 30
Macroscopic scale, 237
Management equivalence identifiability,
232
Management models, reliability of,
289-291
Mass conservation equation, 25-26
Mass diffusion flux, 24
Mass diffusion velocity, 24
Mass fraction, 13
Mass transport
groundwater flow and
coupled equations of, 191-193
coupled inverse problems of,
223-235
in porous media, 23-24
related parameters in modeling,
297-299
statistic theory of, 235-236
Material derivative, 84
Mathematical models, 4
Maximum likelihood estimation
method,203
Mean equation, 237
Mean flow velocity, 30
determination of, 217-218
Mean macrodispersive flux, 237
Mean mass velocity, 14
Mean pore pressure, 18
Mean travel time, 194
Mean volume velocity, 14
Mechanical dispersion, 22, 30
Mechanical dispersion coefficient, 31
Mechanical dispersion coefficient tensor,
38
Method of characteristics (MOC), 8495,176, 194
modified, 177 -186
Microscopic level, 9
Microscopic method, 9
Mixed FEM, 185
Mixed finite element-finite difference
(FE-ED) method, 135-138
MOC, see Method of characteristics
Modeling errors, 224
Modified characteristics FEM, 184
Modifying function, 159
Molecular diffusion, 22-23, 37
Molecular diffusion coefficient, 25
in porous media, 31, 38
Monte-Carlo method, 243
Moving coordinate method, 154
Moving coordinate system, 55
Moving co ordinate system methods,
172-175
Moving particle, 85
Moving point methods, 154, 176-177
Multi-weil tests, 207, 209
Multicomponent transport, 256
Multilevel management models,
293-294
Multiobjective decision making, 287
Multiple cell balance (MCB) method,
115-125, 138-143
Multiple layer advection-dominated
transport problem, 172
N
Natural co ordinate system, 179
Neumann boundary condition, 45
Non-linear programming problem,
225
Non-uniqueness of inverse solutions,
231
Normal distribution, 92, 236
density function of, 92