Quantitative Analysis for the Reconstruction of Porous Media Using Multiple-Point Statistics

Algorithm 1

Multiple-point statistics simulation of a single grid

1. Define a data template

2. Pre-scan training image to store multiple-point patterns specific to

3. Relocate hard data to the nearest simulation grid node and freeze them

4. Define a random path visiting all locations to be simulated

5. for each location along the path do

6.  Find the conditioning data event defined by template

7.   Retrieve the conditional cumulative distribution function(CCDF) from patterns got in step 2

8.  Draw a simulated value from that conditional probability and add it to the data set

9 end for