On stochastic modeling of groundwater flow and solute transport in multi-scale heterogeneous formations
Document title: On stochastic modeling of groundwater flow and solute transport in multi-scale heterogeneous formations
Journal: Computational & applied mathematics
Database: PERIÓDICA
System number: 000272528
ISSN: 1807-0302
Authors: 1
2
3
Institutions: 1Florida State University, Department of Geological Sciences, Tallahassee, Florida. Estados Unidos de América
2University of Nevada, Hydrology Program, Reno, Nevada. Estados Unidos de América
3Nanjing University, Department of Earth Sciences, Nanjing, Jiangsu. China
Year:
Volumen: 23
Number: 2-3
Pages: 121-152
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Aplicado, descriptivo
English abstract A numerical moment method (NMM) is applied to study groundwater flow and solute transport in a multiple-scale heterogeneous formation. The formation is composed of various materials and conductivity distribution within each material is heterogeneous. The distribution of materials in the study domain is characterized by an indicator function and the conductivity field within each material is assumed to be statistically stationary. Based on this assumption, a general expression is derived for the covariance function of the composite field in terms of the covariance of the indicator variables and the statistical properties of the composite materials. The NMM is used to investigate the effects of various uncertain parameters on flow and transport predictions in two case studies. It is shown from the study results that the two-scale stochastic processes of heterogeneity will both significantly influence the flow and transport predictions, especially for the variances of hydraulic head and solute fluxes. This study also shows that the NMM can be used to study flow and transport in complex subsurface environments. Therefore, the method may be applicable to complex environmental projects
Disciplines: Geociencias,
Matemáticas
Keyword: Hidrología,
Matemáticas aplicadas,
Modelos matemáticos,
Método de momento numérico,
Aguas subterráneas,
Flujo de agua subterránea,
Transporte de solutos
Keyword: Earth sciences,
Mathematics,
Hydrology,
Applied mathematics,
Mathematical models,
Numerical moment method,
Groundwater,
Groundwater flow,
Solute transport
Full text: Texto completo (Ver HTML)