On the geostatistical approach to the inverse problem

Advances in Water Resources - Tập 19 - Trang 333-342 - 1996
Peter K. Kitanidis1
1Stanford University, Stanford, California 94305-4020, USA

Tài liệu tham khảo

Box, 1976 Carrera, 1986, Estimation of aquifer parameters under transient and steady state conditions, 1. Maximum likelihood method incorporating prior information, Water Resour. Res., 22, 199, 10.1029/WR022i002p00199 Carrera, 1991, On geostatistical formulations of the groundwater flow inverse problem, Adv. Water Resour., 14, 273, 10.1016/0309-1708(91)90039-Q Cooley, 1982, Incorporation of prior information on parameters into nonlinear regression groundwater flow models, 1. Theory, Water Resour. Res., 18, 965, 10.1029/WR018i004p00965 Cooley, 1983, Incorporation of prior information on parameters into nonlinear regression groundwater flow models, 2. Applications, Water Resour. Res., 19, 662, 10.1029/WR019i003p00662 Dagan, 1985, Stochastic modeling of groundwater flow by unconditional and conditional probabilities: The inverse problem, Water Resour. Res., 21, 65, 10.1029/WR021i001p00065 Dagan, 1989, Flow and Transport in Porous Media, 465 Draper, 1981 Gelhar, 1993 Hoeksema, 1984, An application of the geostatistical approach to the inverse problem in two-dimensional groundwater modeling, Water Resour. Res., 20, 1003, 10.1029/WR020i007p01003 Hoeksema, 1985, Comparison of Gaussian conditional mean and kriging estimation in the geostatistical solution of the inverse problem, Water Resour. Res., 21, 825, 10.1029/WR021i006p00825 Hoeksema, 1989, Prediction of transmissivities, heads, and seepage velocities using mathematical models and geostatistics, Adv. Water Resour., 12, 90, 10.1016/0309-1708(89)90007-9 Hoeksema, 1990, Calibration of groundwater flow models using Monte Carlo simulations and geostatistics, 33 Kitanidis, 1986, Parameter uncertainty in estimation of spatial functions: Bayesian analysis, Water Resour. Res., 22, 499, 10.1029/WR022i004p00499 Kitanidis, 1991, Orthonormal residuals in Geostatistics: Model criticism and parameter estimation, Mathematical Geology, 23, 741, 10.1007/BF02082534 Kitanidis, 1993, Geostatistics, 20.1 Kitanidis, 1995, Quasilinear geostatistical theory for inversing, Water Resour. Res., 31, 2411, 10.1029/95WR01945 Kitanidis, 1983, A geostatistical approach to the inverse problem in groundwater modeling (steady state) and one-dimensional simulations, Water Resour. Res., 19, 677, 10.1029/WR019i003p00677 Matheron, 1971, The Theory of Regionalized Variables and its Applications, 212 Rao, 1973 Rubin, 1987, Stochastic identification of transmissivity and effective recharge in steady groundwater flow, 1. Theory, Water Resour. Res., 23, 1185, 10.1029/WR023i007p01185 Rubin, 1987, Stochastic identification of transmissivity and effective recharge in steady groundwater flow, 2. Case study, Water Resour. Res., 23, 1193, 10.1029/WR023i007p01193 Schweppe, 1973 Wagner, 1989, Reliable aquifer remediation in the presence of spatially variable hydraulic conductivity: From data to design, Water Resour. Res., 25, 2211, 10.1029/WR025i010p02211 Yeh, 1986, Review of parameter identification procedures in groundwater hydrology: The inverse problem, Water Resour. Res., 22, 95, 10.1029/WR022i002p00095