Abstract
[1] Moench’s [2004] comment on our paper [Leng and Yeh, 2003] arises from the issue of using the extended Kalman filter (EKF) to estimate parameters for confined and unconfined aquifers. In the confined aquifer case we chose a synthetic set of pumping test data given by Todd [1980, p. 127] for the study. The EKF gave better estimates of the parameters with only about 2.5 hours of drawdown data when compared with parameters estimated by graphical methods such as Cooper-Jacob and Chow using all data points, i.e., 4 hours of drawdown data as indicated in Tables 1 and 4 of Leng and Yeh [2003]. It is assumed that the drawdown happens instantaneously in response to the release of water from storage due to pumping. Thus there is no doubt that we can get stable and good estimates of the confined aquifer parameters by the EKF with only 2.5 hours of drawdown data. Moench [2004] states
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