Dear Professor Martin Blunt, we are grateful for your generosity in sharing your lectures with us. As we had previously studied from your books, having the opportunity to access your video lectures is invaluable. 📚👍
Hi Martin, Thanks for posting this video. I have a question about the total flux (qt) in the general partial differential equation. The assumption is that qt is constant in both space and time, but when capillary forces are important: how can we ensure qt will remain constant and will not change as a function of time?
Hasan - many thanks for getting back in touch. For 1D flow, qt is fixed in space but can vary with time. As you know, for counter-current imbibition qt=0 and the flow of water decreases with time t as 1/sqrt (t); in other cases we can have a time-dependent change in both qt and the water flow rate, as you suggest.
Dear professor I hope you are doing well. Does advection include potential ( P+ Rho *g*h) ? If that’s true what is the difference between this gravity effect (Rho*g*h) and the gravity effect (delta(Rho) *g) Thank you in advance
Yes you can include gravitational effects in the fractional flow. If you see my other videos where I go through the mathematics, you will see that for two-phase flow this leads to an effect with a density difference, which makes physical sense.
Dear professor can we utilize capillary and bond numbers to know which force is dominant (advection,gravity ,capillarity ) in the flow equation you drive
Yes this can be done but with care on definition. You should compare the ratio of advection, capillarity and gravity over a relevant length scale, which is the reservoir scale. The conventional capillary number does not have a length scale and represents a balance of viscous to capillary forces at the pore scale.
@@BoffyBlunt Thank you, Professor. Could you please create a video clarifying the complexities surrounding scales in porous media? Specifically, I'd appreciate insights on how to relate each principle to its respective scale and how we can bridge the pore scale to the reservoir scale. Because here If the capillary number represents all pores in the reservoir, then it essentially represents the reservoir as a whole.
Dear Professor Martin Blunt, we are grateful for your generosity in sharing your lectures with us. As we had previously studied from your books, having the opportunity to access your video lectures is invaluable. 📚👍
Hi Martin,
Thanks for posting this video.
I have a question about the total flux (qt) in the general partial differential equation. The assumption is that qt is constant in both space and time, but when capillary forces are important: how can we ensure qt will remain constant and will not change as a function of time?
Hasan - many thanks for getting back in touch. For 1D flow, qt is fixed in space but can vary with time. As you know, for counter-current imbibition qt=0 and the flow of water decreases with time t as 1/sqrt (t); in other cases we can have a time-dependent change in both qt and the water flow rate, as you suggest.
Dear professor
I hope you are doing well.
Does advection include potential ( P+ Rho *g*h) ? If that’s true what is the difference between this gravity effect (Rho*g*h) and the gravity effect (delta(Rho) *g)
Thank you in advance
Yes you can include gravitational effects in the fractional flow. If you see my other videos where I go through the mathematics, you will see that for two-phase flow this leads to an effect with a density difference, which makes physical sense.
Dear professor can we utilize capillary and bond numbers to know which force is dominant (advection,gravity ,capillarity ) in the flow equation you drive
Yes this can be done but with care on definition. You should compare the ratio of advection, capillarity and gravity over a relevant length scale, which is the reservoir scale. The conventional capillary number does not have a length scale and represents a balance of viscous to capillary forces at the pore scale.
@@BoffyBlunt Thank you, Professor. Could you please create a video clarifying the complexities surrounding scales in porous media? Specifically, I'd appreciate insights on how to relate each principle to its respective scale and how we can bridge the pore scale to the reservoir scale.
Because here If the capillary number represents all pores in the reservoir, then it essentially represents the reservoir as a whole.