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Wright State University

1. Idriss, Bilal. Percolation-Based Techniques for Upscaling the Hydraulic Conductivity of Semi-Realistic Geological Media.

Degree: MS, Earth and Environmental Sciences, 2008, Wright State University

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. Advisors/Committee Members: Hunt, Allen G. (Advisor).

Subjects/Keywords: Geology; Percolation Theory; Critical Path Analysis; Hydrogeology; Modeling; Upscaling

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Idriss, B. (2008). Percolation-Based Techniques for Upscaling the Hydraulic Conductivity of Semi-Realistic Geological Media. (Masters Thesis). Wright State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=wright1222101268

Chicago Manual of Style (16th Edition):

Idriss, Bilal. “Percolation-Based Techniques for Upscaling the Hydraulic Conductivity of Semi-Realistic Geological Media.” 2008. Masters Thesis, Wright State University. Accessed February 16, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=wright1222101268.

MLA Handbook (7th Edition):

Idriss, Bilal. “Percolation-Based Techniques for Upscaling the Hydraulic Conductivity of Semi-Realistic Geological Media.” 2008. Web. 16 Feb 2019.

Vancouver:

Idriss B. Percolation-Based Techniques for Upscaling the Hydraulic Conductivity of Semi-Realistic Geological Media. [Internet] [Masters thesis]. Wright State University; 2008. [cited 2019 Feb 16]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=wright1222101268.

Council of Science Editors:

Idriss B. Percolation-Based Techniques for Upscaling the Hydraulic Conductivity of Semi-Realistic Geological Media. [Masters Thesis]. Wright State University; 2008. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=wright1222101268

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