376
Index
Seawater-fresh water interfaces, 264-269
Seawater intrusion, 262-275
problem of, 262-263
Second rank symmetric tensors, 18,31
Selected-node iteration method, 145
Self-adaptive moving point technique,
181
Sensitivity coefficients, 203
Sensitivity matrix, 203
Simulation method, 243
Single step reverse method, 177-180
Single weil injection-extraction method,
206
Size factor, 40
Solute, sources and sinks of, 23
Solute concentration, 13
Source/sink terms, 89-91
apparent,216
Spatial average method, 9-12
Spatial derivatives, average of, 29-30
Spatial variability, 236
Specific gravity, 13
Specific storativity, 19
Specific surface, 16
Specific yield, 19
Spherical coordinates, 41
Stability,76
Standard cubic element, 128
Standard element, 105
Standard tri angle, 106
State equations, 188
State variables, 4
Stationary function, 236
Statistic homogeneous function, 236
Statistic theory, 235
of mass transport in porous media,
235-236
Statistical framework, 7
Statistical geometrical model, 37
Stochastic advection-dispersion
equations,237-238
Stochastic equation relating
perturbations, 238
Stochastic inverse problem (SIP),
245-246
Stochastic models, uncertainties of, 242
Stochastic partial differential equations
(SPDE),239
Storage coefficients, 19-20
Streamline upwind/Petrov-Galerkin
(SU/PG) method, 163
Subdomain method, 100
Successive element iteration method,
146
Successive over relaxation method
(SOR),145
Successive under relaxation method
(SUR), 145
Summation convention, 18-19,32
Superposition principle, 52-54
T
TDS (total dissolved solids), 1
Thomas algorithm, 76
Three-dimensional advection-dominated
transport problem, 172
Time derivatives, average of, 27
Tortuosity, 16-18, 38
Total derivative, 84, 177, 183
Total dissolved solids (TDS), 1
Tracer case, 188
Transfer funciton, 197
Transient point source, 55
Transition zones, 21, 263
determination of, 271-275
Transversal dispersion, 23
Transversal dispersivity, 36
ofisotropic medium, 37
Trial solution, 98, 126, 137
Triangular elements, 102-103
Triangular prism elements, 132-135
Tritium, environmental isotope, 213
Two-phase flow, 256
U
Unsaturated zones, 27
Upstream weight, 196
Upstream weighted finite difference
methods (FDM), 154, 155-158
Upstream weighted finite element
methods (FEM), 154, 158-163
Upstream weighted methods, 155-172
Upstream weighted multiple cell balance
method, 163-172
Index
Seawater-fresh water interfaces, 264-269
Seawater intrusion, 262-275
problem of, 262-263
Second rank symmetric tensors, 18,31
Selected-node iteration method, 145
Self-adaptive moving point technique,
181
Sensitivity coefficients, 203
Sensitivity matrix, 203
Simulation method, 243
Single step reverse method, 177-180
Single weil injection-extraction method,
206
Size factor, 40
Solute, sources and sinks of, 23
Solute concentration, 13
Source/sink terms, 89-91
apparent,216
Spatial average method, 9-12
Spatial derivatives, average of, 29-30
Spatial variability, 236
Specific gravity, 13
Specific storativity, 19
Specific surface, 16
Specific yield, 19
Spherical coordinates, 41
Stability,76
Standard cubic element, 128
Standard element, 105
Standard tri angle, 106
State equations, 188
State variables, 4
Stationary function, 236
Statistic homogeneous function, 236
Statistic theory, 235
of mass transport in porous media,
235-236
Statistical framework, 7
Statistical geometrical model, 37
Stochastic advection-dispersion
equations,237-238
Stochastic equation relating
perturbations, 238
Stochastic inverse problem (SIP),
245-246
Stochastic models, uncertainties of, 242
Stochastic partial differential equations
(SPDE),239
Storage coefficients, 19-20
Streamline upwind/Petrov-Galerkin
(SU/PG) method, 163
Subdomain method, 100
Successive element iteration method,
146
Successive over relaxation method
(SOR),145
Successive under relaxation method
(SUR), 145
Summation convention, 18-19,32
Superposition principle, 52-54
T
TDS (total dissolved solids), 1
Thomas algorithm, 76
Three-dimensional advection-dominated
transport problem, 172
Time derivatives, average of, 27
Tortuosity, 16-18, 38
Total derivative, 84, 177, 183
Total dissolved solids (TDS), 1
Tracer case, 188
Transfer funciton, 197
Transient point source, 55
Transition zones, 21, 263
determination of, 271-275
Transversal dispersion, 23
Transversal dispersivity, 36
ofisotropic medium, 37
Trial solution, 98, 126, 137
Triangular elements, 102-103
Triangular prism elements, 132-135
Tritium, environmental isotope, 213
Two-phase flow, 256
U
Unsaturated zones, 27
Upstream weight, 196
Upstream weighted finite difference
methods (FDM), 154, 155-158
Upstream weighted finite element
methods (FEM), 154, 158-163
Upstream weighted methods, 155-172
Upstream weighted multiple cell balance
method, 163-172