1.3. Groundwater Mode\ing
5
TABLE 1.1. Applications of groundwater modeling.
Media
Model
Groundwater Ilow
Mass transport
Heat transport
deformation
Application
Water supply
Groundwater
Geothermal
Land
contamination
utilization
subsidence
Regional aquifer
Sea water
Heat and cold
Engineering
analysis
intrusion
storage under
geological
the ground
problem
Relationship
Migration of
Heat pollution in
between groundpesticides and
groundwater
water and surface
chemical
water
fertilizers in
plant root zone
Precipitation, inSoil reformation
filtration and
evaporation
Drainage and
Radionuclide
dewatering
waste repositories
engineering
Artificial recharge
Impact of river
pollution on
groundwater
Mathematical models have many advantages compared with the others.
They can reflect complex physical structures and irregular geometrie shapes
of an aquifer system; they are convenient and flexible to use and easy to
calibrate; and they can describe not only the phenomena of water flow in
porous media but also the mass and energy transports and other complex
physical-chemical-biological phenomena in porous media. Therefore, mathematical modeling has become the major tool of basin studies. Table 1.1
shows its major applications.
Each one of the mathematical models in Table 1.1 consists of a set of
partial differential equations (PDE) with appropriate initial and boundary
conditions. The equations describe the characteristics of the system and
the physical-chemical processes going on in it. The initial and boundary
conditions represent the system's initial state and its relationships with
the surrounding systems. Mass and heat transport models couple the flow
model with the solute mass conservation equation, and energy conservation
equation, respectively. The model of media deformation couples the flow
model with the equation expressing the skeletal strain. Generally, these
mathematical models are very complex, and computers must be used to solve
them.
There are two kinds of distributed parameter models in the simulation of
groundwater quality: pure advection and advection-dispersion. The pure
5
TABLE 1.1. Applications of groundwater modeling.
Media
Model
Groundwater Ilow
Mass transport
Heat transport
deformation
Application
Water supply
Groundwater
Geothermal
Land
contamination
utilization
subsidence
Regional aquifer
Sea water
Heat and cold
Engineering
analysis
intrusion
storage under
geological
the ground
problem
Relationship
Migration of
Heat pollution in
between groundpesticides and
groundwater
water and surface
chemical
water
fertilizers in
plant root zone
Precipitation, inSoil reformation
filtration and
evaporation
Drainage and
Radionuclide
dewatering
waste repositories
engineering
Artificial recharge
Impact of river
pollution on
groundwater
Mathematical models have many advantages compared with the others.
They can reflect complex physical structures and irregular geometrie shapes
of an aquifer system; they are convenient and flexible to use and easy to
calibrate; and they can describe not only the phenomena of water flow in
porous media but also the mass and energy transports and other complex
physical-chemical-biological phenomena in porous media. Therefore, mathematical modeling has become the major tool of basin studies. Table 1.1
shows its major applications.
Each one of the mathematical models in Table 1.1 consists of a set of
partial differential equations (PDE) with appropriate initial and boundary
conditions. The equations describe the characteristics of the system and
the physical-chemical processes going on in it. The initial and boundary
conditions represent the system's initial state and its relationships with
the surrounding systems. Mass and heat transport models couple the flow
model with the solute mass conservation equation, and energy conservation
equation, respectively. The model of media deformation couples the flow
model with the equation expressing the skeletal strain. Generally, these
mathematical models are very complex, and computers must be used to solve
them.
There are two kinds of distributed parameter models in the simulation of
groundwater quality: pure advection and advection-dispersion. The pure