Percolation theory and how it can be applied to interpret displacements in porous media. The distinction between invasion percolation and ordinary percolation is explained.
Professor's video explanation is excellent; however, I've been struggling with the process of solving for the percolation threshold using the Ornstein-Zemike equation. I hope the teacher can upload a lecture on this specific part.
The OZ equation determines a correlation function, normally between molecules or ions in a liquid. This is not really relevant to the determination of the percolation threshold, which is largely controlled by the coordination number of the lattice.
Such an easy-to-follow up explanation! I was a physicist student until last year, when I decided that I wanted to do more practical things and moved to an electronic engineering degree. Also, I am a barista and I'm utterly amazed by the mathematical modeling of many coffee systems, a branch which is not deeply explored yet, which makes it more interesting. Also, I am keen on modeling the flow of cars in cities to further improve congestion in cities, so this knowledge comes in handy. What books can I read? What mathematical areas do I have to handle? Thanks again for the video, Francisco from Argentina
A good, short introduction to the theory is "Introduction to Percolation Theory" by Dietrich Stauffer and Amnon Aharony, Taylor and Francis (2nd edition, 1992).
Is this a correct statement, professor: If we are injecting CO2 in saline aquifer which (let's say) is strongly water-wet. This will be drainage, right? Then, this would also mean that CO2 will follow piston-like advance and thereby reducing snap-off and subsequently CO2 entrapment is reduced as well.
It is correct that the advance of CO2 is piston-like in an invasion percolation pattern. However, CO2 is trapped after initial injection as the plume continues to move and CO2 is displaced by water. Here we have an imbibition process, snap-off and trapping of the CO2.
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Great explanation 👌 Keep the good work up 😊
Professor's video explanation is excellent; however, I've been struggling with the process of solving for the percolation threshold using the Ornstein-Zemike equation. I hope the teacher can upload a lecture on this specific part.
The OZ equation determines a correlation function, normally between molecules or ions in a liquid. This is not really relevant to the determination of the percolation threshold, which is largely controlled by the coordination number of the lattice.
Such an easy-to-follow up explanation! I was a physicist student until last year, when I decided that I wanted to do more practical things and moved to an electronic engineering degree. Also, I am a barista and I'm utterly amazed by the mathematical modeling of many coffee systems, a branch which is not deeply explored yet, which makes it more interesting. Also, I am keen on modeling the flow of cars in cities to further improve congestion in cities, so this knowledge comes in handy.
What books can I read? What mathematical areas do I have to handle?
Thanks again for the video,
Francisco from Argentina
A good, short introduction to the theory is "Introduction to Percolation Theory" by Dietrich Stauffer and Amnon Aharony, Taylor and Francis (2nd edition, 1992).
@@BoffyBlunt Thanks!
Is this a correct statement, professor:
If we are injecting CO2 in saline aquifer which (let's say) is strongly water-wet. This will be drainage, right? Then, this would also mean that CO2 will follow piston-like advance and thereby reducing snap-off and subsequently CO2 entrapment is reduced as well.
It is correct that the advance of CO2 is piston-like in an invasion percolation pattern. However, CO2 is trapped after initial injection as the plume continues to move and CO2 is displaced by water. Here we have an imbibition process, snap-off and trapping of the CO2.