Method and system for determining permeability of a porous medium
A method for determining permeability of a porous medium is described which comprises the steps: a) obtaining a three-dimensional picture of the porous medium by an imaging system, b) dividing the three-dimensional picture into a number n of two-dimensional parallel slices, wherein n is an integer of 2 or more, c) identifying one or more pores in a first outermost slice (n 1 ) using a grid which defines image pixels, d) identifying one or more pores in a second slice (n 2 ) directly neighboring the first outermost slice (n 1 ) using the same grid which defines image pixels as for the first outermost slice (n 1 ), and e) labelling the one or more pores in the second slice (n 2 ) as connected if at least one of its neighbours in the first outermost slice (n 1 ) is a pore to give a number of connected pores as a connectivity result. Also described is a system comprising means for carrying out such a method.
1. A method for determining permeability of a porous medium, comprising the steps:
a) obtaining a three-dimensional picture of the porous medium by an imaging system,
b) dividing the three-dimensional picture into a number n of two-dimensional parallel slices, wherein n is an integer of 2 or more,
c) identifying one or more pores in a first outermost slice (n 1 ) using a grid which defines image pixels of the outermost slice (n 1 ),
d) identifying one or more pores in a second slice (n 2 ) directly neighboring the first outermost slice (n 1 ) using the same grid, which defines image pixels of the second slice (n 2 ), as for the first outermost slice (n 1 ),
e) labelling the one or more pores in the second slice (n 2 ) as connected to the one or more pores in the first outermost slice (n 1 ) if the one or more pores in the second slice (n 2 ) neighbors the one or more pores in the first outermost slice (n 1 ) to give a number of connected pores as a connectivity result.
2. The method of claim 1 wherein steps c) to e) are a first iteration and wherein these steps are iterated to subsequent slices (n 3 , n 4 , . . . ) until a last slice (n last ) is reached, wherein in each iteration the connectivity result in the previous iteration is regarded as a first slice, to give a number of connected pores as a final connectivity result.
3. The method of claim 1 , wherein the method is repeated with respect to steps c) to e) in the opposite direction, i.e. starting from the last slice (n 2 or n last ), wherein after the repetition an average number of connected pores is computed as an average connectivity result.
4. The method according to claim 3 wherein a permeability connectivity index (PCI) is computed which is defined as the average number of connected pores divided by the total number of image pixels.
5. The method according to claim 1 wherein the grid defines squared image pixels.
6. The method according to claim 5 wherein each image pixel has nine neighboring image pixels in the previous and/or the subsequent slice.
7. The method according to claim 1 wherein the porous medium is a rock.
8. System comprising means for carrying out the method according to claim 1 .
9. The system according to claim 8 wherein said means comprise an imaging system and a computer.
10. The system according to claim 8 wherein said means comprise an imaging system which is a computed tomography scanner.