The following figure shows the tortuosity algorithm page. There are no parameters that can be altered to calculate the tortuosity algorithm, we recommend that the tortuosity algorithm is calculated, while running in porebatch mode, as it is an intensive calculation, and it will allow you to use some other functions of PoreXpert while PoreXpert is calculating the tortuosity. To calculate the tortuosity all you need to do is click on accept.

 

Tortuosity algorithm screen

 

The y-axis displays the probability of the relative path length. Please note that the x-axis may not start at 1. The x-axis will start at the shortest path length discovered by the algorithm, so below this value, the probabilities of paths are not defined. At the first value, in this case a 29% probability of a path length of 1.13, both the Average Probability (i.e. the probability of that particular path length) and the Cumulative Probability (i.e. the probability of all paths of 1.13 or shorter) are the same. The single-valued tortuosity is taken to be the median path length (1.2). This is a more stable statistic than the mathematical average, because it is less affected by extreme high values of the distribution, even when these values have low probability.

 

The tortuosity histogram for the calcium carbonate cubic sample is shown below.

 

Tortuosity histogram for calcium carbonate paper coating sample (15 x 15 x 15)

 

Note:

This operation may take a very long time to complete, depending on your hardware capabilities and the unit cell size. For a 20 x 20 x 20 unit cell the tortuosity algorithm can take more than 4 hours to complete.