If you are trying to assign rock type /facie based upon poro/perm information such as that plot, then it's not too difficult, you just have to use more than porosity alone. Each of the curves for a given porosity are still unique if you factor in permeability
The image looks like classic FZI (flow zone indicator) type approach, which entails calculating FZI for each piece of rock (a function very similar to calculating J), then grouping values of similar FZI values. You never actually get a number of clearly defined lines like in the plot. Normally you plot your lognormal poro/perm information, and overlay it by colour defined by FZI value and look for groupings. From this you bin the FZI values into the major groups and classify them each as GHE's (global hydraulic elements) - sort of like facies based upon flow characteristics. You can find some background info at[link Point to another website Only the registered members can access]
So, back to your initial question;
If you have poro & perm information and want to calculate FZI;
FZI = 0.0314 x SQRT(PERM/PORO) / ((PORO/(1-PORO))
If on the other hand you are given the values of FZI and porosity, then simply rearrange to get the appropriate perm for the FZI (see equation on page 4)





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