Mathematical modeling of solute segregation and redistribution during freezing in peat and overlying water
Freezing of the water in a peatland causes the redistribution of existing solutes in both the shallow water and the peat zone. Such solute redistribution phenomena are of interest for establishing the geochronology of deposits and determining the nature of pollutant burial. Understanding these phenomena is important for the consideration of peatlands as multi-use resources. This work presents the theoretical analyses and mathematical models to describe the solute redistribution processes during freezing in overlying water and interstitial water in the porous peat. The analyses include the segregation of the solute at the ice-water interface in both the overlying water and the peat zone, solute transport in overlying water, as well as adsorbable solute and non-adsorbable solute transport in the interstitial water of the peat zone. An algorithm has been developed to solve these nonlinear moving interface problems. A parameter estimation technique has been used to determine parameters in the model that are difficult to obtain directly from the experimental data. Computer simulation using this model provides good predictions for solute concentration profiles in the frozen water and the peat zones, as compared to independent experimental data. The basic theoretical analysis and the mathematical model have been utilized to describe the salt ice formation process and macrosegregation during freezing of binary alloys.
- Research Organization:
- Michigan Univ., Ann Arbor (USA)
- OSTI ID:
- 6974153
- Resource Relation:
- Other Information: Thesis (Ph. D.)
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
COAL DEPOSITS
HYDROLOGY
ADSORPTION
ALGORITHMS
COMPUTERIZED SIMULATION
DISTRIBUTION
ENVIRONMENTAL TRANSPORT
FREEZING
ICE
INTERFACES
INTERSTITIAL WATER
MATHEMATICAL MODELS
PEAT
QUANTITY RATIO
SOLUTES
SURFACE WATERS
WETLANDS
AQUATIC ECOSYSTEMS
ECOSYSTEMS
ENERGY SOURCES
FOSSIL FUELS
FUELS
GEOLOGIC DEPOSITS
GROUND WATER
HYDROGEN COMPOUNDS
MASS TRANSFER
MATHEMATICAL LOGIC
MINERAL RESOURCES
ORGANIC MATTER
OXYGEN COMPOUNDS
RESOURCES
SIMULATION
SORPTION
WATER
011000* - Coal
Lignite
& Peat- Reserves
Geology
& Exploration