Random fields for spatial temporal analysis and uncertainty quantification
For my research, the interest in random field theory is that it could be used to analyze naturally varying properties in geotechnical engineering in both temporal and spatial domain, such as soil permeability over the scale of meters, concrete strength of the scale of centimeters, or earthquake ground motions varying from point to point in both time and space. The stochastic estimation of these properties in geotechnical engineering is rooted to the classical optimum linear estimation problem in random field theory.
In one of my projects, I used random field to characterize the soil properties of a city and based on that I made a prediction of liquefaction potential assessment for the whole city. The predicted results agree well with the observations.