Dear Oldim:

Not only the permeability, but also the relative permeability can be obtained from the pore size distribution. Our previous work is related to this problem, and we hope it might be helpful to you. Thank you very much!

（ Zhang T, Li X, Sun Z, et al. An analytical model for relative permeability in water-wet nanoporous media[J]. Chemical Engineering Science, 2017, 174. ）

I think its possible. If you can estimate void fraction from the rock image then you can estimate the permeability. Atleast for clay or sand peoples this method was useful.

Dear Oldim:

Not only the permeability, but also the relative permeability can be obtained from the pore size distribution. Our previous work is related to this problem, and we hope it might be helpful to you. Thank you very much!

（ Zhang T, Li X, Sun Z, et al. An analytical model for relative permeability in water-wet nanoporous media[J]. Chemical Engineering Science, 2017, 174. ）

It´s important to know which pore system you are talking about. Pore types (as estimated by Choquette & Pray, 1977 for carbonate rocks) have different distributions, depending on their genesis and forming process. Perhaps you should use some Hg capilarity pressure to estimate volumes conected by different pore throats. It should be interesting to use, also, T2 data. It´s a good way to estimate pore sizes and, correlated to Hg data, yelds how much of this porosity is conected (filled with Hg)

Dear Hisay Lama, I am working with sandstone sample. thank you all for support

it is very important to be able to analyse how the pore connectivity under 3D state of stress changes as well. Pore volume under elastic stress regime respond to far field stresses accordingly and that affects the directional permeability too. I have been able to evaluate this phenomena in testing a sandstone under true-triaxial testing system. For more info please check the reference below.

International JournalofRockMechanics&MiningSciences69(2014)1–18

3-D transport and acoustic properties of Fontainebleau

sandstone during true-triaxial deformation experiments

M.H.B. Nasseri n, S.D.Goodfellow,L.Lombos 1, R.P.Young

Department ofCivilEngineering,UniversityofToronto,Toronto,Ontario,Canada,

In some clastics, a strong correlation between sqrt(k/por) and the (1st) mode of the distribution of pore diameters may be observed (R2=0.96). That may be enough to estimate permeability. Just give a try.

Please see this scholarly paper of mine, posted at:

Article Application of the Kozeny-Carman Equation to Permeability De...

Please see this other scholarly paper of mine, posted at:

Article Application of the Kozeny-Carman Equation to Permeability De...

Please see this third scholarly paper of mine, psted at:

Article Derivation of the cementation factor (Archie's exponent) and...

Please see this fourth scholarly paper of mine, posted at:

Article Determination of Specific Surface Area and Mean Grain Size f...

Thank you all. yours answers are being useful for my research

My pleasure...

Use the well-known Purcell method

https://www.onepetro.org/journal-paper/SPE-949039-G

Hi Abouzar, I suggest to read this paper: SPE-151602

In general, I don't think so. Karmen-Cozeny should be way off, especially in consolidated media. However, as some other answers indicate, by restricting yourself to only some types of lithologies, it could be possible using correlations in literature.

I think if you read the paper published by Land that would help you understanding the theory of obtaining relative permeability from pore-size distribution. here is the paper;

Land, C. S. (1968), Calculation of imibition relative permeability for two and thre-phase flow from rock properties, SPE J., 8 149156.