Optimal estimation of spatially variable recharge and transmissivity fields under steady-state groundwater flow. Part 2. Case study
Optimal estimation of spatially variable recharge and transmissivity fields under steady-state groundwater flow. Part 2. Case study
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DOI：
10.1016/0022-1694(94)90108-2
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发表时间：
1994-05
影响因子：
6.4
通讯作者：
W. Graham;Claude D. Tankersley
中科院分区：
文献类型：
--
作者：
W. Graham;Claude D. Tankersley
Stochastic methods are used to analyze two-dimensional steady groundwater flow subject to spatially variable recharge and transmissivity. Approximate partial differential equations are developed for the covariances and cross-covariances between the random head, transmissivity and recharge fields. Closed-form solutions of these equations are obtained using Fourier transform techniques. The resulting covariances and cross-covariances can be incorporated into a Bayesian conditioning procedure which provides optimal estimates of the recharge, transmissivity and head fields given available measurements of any or all of these random fields. Results show that head measurements contain valuable information for estimating the random recharge field. However, when recharge is treated as a spatially variable random field, the value of head measurements for estimating the transmissivity field can be reduced considerably. In a companion paper, the method is applied to a case study of the Upper Floridan Aquifer in NE Florida.
