1983 年 25 巻 2 号 p. 81-92
This paper presents a method of estimating spatial distributions of the aquifer transmissivity and the groundwater head which are disturbed by random noises.
The Kalman filtering theory is applied to an equation of motion of the two-dimensional groundwater flow and to the autoregressive model that describes the spatial structure of the transmissivity. These two system equations are coupled to account for an influence of the groundwater movement in the estimation of the transmissivity.
The observed values of the groundwater head and the transmissivity, which include measuring errors, can be effectively used in the Kalman filtering algorithm.
In order to confirm the validity of the present method, an experiment is carried out for a one-dimensional aquifer model.