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Percolation-Based Techniques for Upscaling the Hydraulic Conductivity of Semi-Realistic Geological Media

Idriss, Bilal
http://rave.ohiolink.edu/etdc/view?acc_num=wright1222101268

Abstract Details

2008, Master of Science (MS), Wright State University, Earth and Environmental Sciences.
I tested three schemes for "upscaling" the hydraulic conductivity (K) on aquifers with bimodal K distributions. This bimodality (e.g., sand and mud deposits) was intended to capture typical geological conditions. Results were tested with a numerical model. Upscaling techniques used were inspired by schemes interpolating between arithmetic and harmonic means, but are based on percolation theory: 1) Critical path analysis (CPA), 2) Percolation path analysis (PPA, or standard scaling), and a novel scaling approach. Models chosen were both spatially correlated and uncorrelated, with important differences in critical percolation probabilities, Pc. Volume fractions Ps and 1-Ps (with Ps = sand volume fraction) were assigned to each mode of the distribution of K. I found that application of the requirement for CPA to interpolate smoothly between the parallel and series configurations makes it satisfactory only for Ps>Pc. PPA generally underestimates K. The novel scaling technique has the widest generality.
Allen G. Hunt, PhD (Advisor)
Robert W. Ritzi, PhD (Committee Member)
David F. Dominic, PhD (Committee Member)
87 p.
Geology
Percolation Theory; Critical Path Analysis; Hydrogeology; Modeling; Upscaling

Recommended Citations

Citations

  • Idriss, B. (2008). Percolation-Based Techniques for Upscaling the Hydraulic Conductivity of Semi-Realistic Geological Media [Master's thesis, Wright State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=wright1222101268

    APA Style (7th edition)

  • Idriss, Bilal. Percolation-Based Techniques for Upscaling the Hydraulic Conductivity of Semi-Realistic Geological Media. 2008. Wright State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=wright1222101268.

    MLA Style (8th edition)

  • Idriss, Bilal. "Percolation-Based Techniques for Upscaling the Hydraulic Conductivity of Semi-Realistic Geological Media." Master's thesis, Wright State University, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=wright1222101268

    Chicago Manual of Style (17th edition)

wright1222101268
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© 2008, all rights reserved.
This open access ETD is published by Wright State University and OhioLINK.