Stochastic numerical modelling of groundwater flow and solute transport

A stochastic numerical perturbation method is applied to the groundwater flow and solute transport problems. The method involves modelling the hydraulic conductivity as a random field, discretising this random field into a vector of random variables, expanding this vector and the vectors representing, groundwater velocity, and solute concentration in Taylor series about their means and using stochastic finite element methods to relate the three parameters. Methods of calculating the second spatial moment of the mean solute plume and the mean second moment of individual solute plumes are presented. The method is implemented in a computer program and results for a range of integral scales are presented. These results are compared to analytical results found in the literature. It is found that the groundwater velocity results give very good agreement, except when mesh resolution becomes a problem, and that the solute concentration results give reasonable agreement for practical integral scales. (a) Thesis submitted in fulfilment of the requirements for the degree of Doctor of Philosophy (PhD) in the School of Civil and Environmental Engineering.

• Corporate Authors:

  University of New South Wales

  School of Civil and Environmental Engineering
  Sydney, New South Wales  Australia  2052
• Authors:
  • Davis, S
• Publication Date: 2003

Language

• English

Media Info

• Pagination: 161P

Subject/Index Terms

• TRT Terms: Groundwater; Mathematical models; Sediments; Theses
• ITRD Terms: 4383: Ground water; 6473: Mathematical model; 4190: Sediment; 8597: Thesis
• Subject Areas: Geotechnology; I41: General Soil Surveys;

Filing Info

• Accession Number: 01011288
• Record Type: Publication
• Source Agency: ARRB
• Files: ITRD, ATRI
• Created Date: Dec 19 2005 2:59PM