Percolation in granular medium at critical density

I posted about this topic a few times before taking vacation, here: post 1, post 2, post 3, and post 4

The previous work gave me confidence I was working in a fruitful direction, but I was a little concerned that the assemblages of particles I used to simulate a soil were not sufficiently close to “reality” in terms of grain size distribution.  So I’ve done some further simulations, using distributions of particle size that are a little closer to “reality” (recognizing that the assumption of all circular particles is already an unrealistic simplification, but one that likely has no particular bearing on the results).

I’ll have some updated results to add to this post shortly.


About petequinn

I'm a Canadian geotechnical engineer specializing in the study of landslides. I started this page to discuss some mathematical topics that interest me, initially this involved mostly prime numbers, but more recently I've diverted focus back to a number of topics of interest in geotechnique, geographic information systems and risk. I completed undergraduate training in engineering physics at Royal Military College (Kingston, Ontario), did a masters degree in civil (geotechnical) engineering at University of British Columbia (Vancouver), and doctorate in geological engineering at Queen's University (Kingston). I was a military engineer for several years at the beginning of my career, and did design and construction work across Canada and abroad. I've worked a few years for the federal government managing large environmental clean up projects in Canada's arctic, and I've worked across Canada, on both coasts and in the middle, as a consulting geotechnical engineer. My work has taken me everywhere in Canada's north, to most major Canadian cities and many small Canadian towns, and to Alaska, Chile, Bermuda, the Caribbean, Germany, Norway, Sweden, Bosnia, and Croatia. My main "hobby" is competitive distance running, which I may write about in future.
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One Response to Percolation in granular medium at critical density

  1. petequinn says:

    This discussion has been wrapped up with submission of a draft paper on the topic. I’ve posted an informal copy of the paper here: percolation paper for Canadian Geotechnical Journal

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