Area-to-point kriging (A2PK)

DOI

This MATLAS package allows you to generate fine-scale stocastic Gaussian simulation based on a known coarse scale image of the same domain. This is done through area-to-point kriging, a co-kriging estimation where the coase-scale is considered as a secondary variable so that the cross-covariance can be computed easily.

Area-to-point kriging

The main function is A2PK.m, and an example script is provided in script.mlx.

Examples

The following two scripts give a step-by-step instruction to run area-to-point kriging:

Application to Electrical Resistivity Tomography (ERT)

During my PhD, I applied A2PK to the simulation of a fine-scale scale electrical conductivity field, based on the smooth result of a deterministic inversion of an electrical resistivity tomography (ERT). The code used for this can be found in the ERT folder, and, in particular, the published script script_ERT.mlx.

Application to Hydraulic tomography (HT)

We also worked on an adaptation of a similar technique for hydraulic tomography. Refer to the HT folder, and more precisely to the main script. Despite promising results, I did not finish this work because of time constraint.

References