Estimation of Two-Dimensional Distribution of Transmissivity by Kalman Filtering Theory

Hydrological transmissivity is one of the important parameters for the analysis of groundwater flow. However, it is seldom that we can get exact and detailed distribution of transmissivity and hence we can not help extrapolating it, especially when there are only a few observed values.
In the previous report (Ueda et al. , 1983c) , we proposed the method in which the optimal estimation of the spatial distribution of the transmissivity can be obtained through the Kalman Filtering Theory. In the present report, we discuss the method of generating the anisotropic random field of transmissivity and that of calculating the auto-correlation coefficient which represents the spatial structure of transmissivity. Also, we show the examples on how the anisotropic distribution of transmissivity can be obtained through the filtering theory.