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The Kozeny-Carman Equation Considered With a Percolation Threshold

Porter, Lee Brenson, II

Abstract Details

2011, Master of Science (MS), Wright State University, Earth and Environmental Sciences.
A procedure has been developed for calculating permeability (k) from the Kozeny-Carmen equation, a procedure that links ideas from percolation theory with the ideas of Koltermann and Gorelick (1995) and Esselburn et al. (2011). The approach focuses on the proportion of coarser pores that are occupied by finer sediments and defines a threshold proportion. For proportions below this threshold, the unoccupied coarser pores percolate. Following the ideas of Koltermann and Gorelick (1995), the effective grain-size term in the Kozeny-Carman equation is calculated using the geometric mean if below the threshold proportion, and with the harmonic mean if above. Following ideas of Esselburn et al. (2011), this approach is recursively implemented by considering each grain size category relative to the pore space in the next larger category for mixtures of more than two categories, in order of smallest size to largest. Application of these ideas to sediment models for sands and gravels, which have known k, indicate that a threshold does indeed exist. Results also suggest that the Kozeny-Carmen equation is robust and gives representative values for k, even though the threshold proportion is not precisely known.
Robert Ritzi, PhD (Advisor)
David Dominic, PhD (Advisor)
Cheng Songlin, PhD (Committee Member)
67 p.

Recommended Citations

Citations

  • Porter, II, L. B. (2011). The Kozeny-Carman Equation Considered With a Percolation Threshold [Master's thesis, Wright State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=wright1309878625

    APA Style (7th edition)

  • Porter, II, Lee. The Kozeny-Carman Equation Considered With a Percolation Threshold. 2011. Wright State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=wright1309878625.

    MLA Style (8th edition)

  • Porter, II, Lee. "The Kozeny-Carman Equation Considered With a Percolation Threshold." Master's thesis, Wright State University, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=wright1309878625

    Chicago Manual of Style (17th edition)