Nonstationary stochastic analysis in well capture zone design using first‐order Taylor's series approximation
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[1] G. Dagan,et al. Stochastic analysis of boundaries effects on head spatial variability in heterogeneous aquifers: 1. Constant head boundary , 1988 .
[2] Oregon State. Water Resources Research Institute , 1986 .
[3] Matthijs van Leeuwen,et al. Stochastic determination of well capture zones conditioned on regular grids of transmissivity measurements , 2000 .
[4] G. Dagan. Solute transport in heterogeneous porous formations , 1984, Journal of Fluid Mechanics.
[5] You‐Kuan Zhang. Stochastic Methods for Flow in Porous Media: Coping with Uncertainties , 2001 .
[6] W. G. Gray,et al. Finite Element Simulation in Surface and Subsurface Hydrology , 1977 .
[7] Michael D. Dettinger,et al. First order analysis of uncertainty in numerical models of groundwater flow part: 1. Mathematical development , 1981 .
[8] W. Kinzelbach,et al. Computation of stochastic wellhead protection zones by combining the first-order second-moment method and Kolmogorov backward equation analysis , 2000 .
[9] Harald Osnes,et al. Stochastic analysis of head spatial variability in bounded rectangular heterogeneous aquifers , 1995 .
[10] Keith Beven,et al. Bayesian methodology for stochastic capture zone delineation incorporating transmissivity measurements and hydraulic head observations , 2003 .
[11] J. M. Shafer,et al. Assessment of Uncertainty in Time‐Related Capture Zones Using Conditional Simulation of Hydraulic Conductivity , 1991 .
[12] Dennis McLaughlin,et al. Using the Nonstationary Spectral Method to Analyze Flow Through Heterogeneous Trending Media , 1995 .
[13] S. P. Neuman,et al. Radial Flow in a Bounded Randomly Heterogeneous Aquifer , 2001 .
[14] C. L. Winter,et al. Nonstationary stochastic analysis of steady state flow through variably saturated, heterogeneous media , 1998 .
[15] Dongxiao Zhang,et al. Stochastic analysis of flow in a heterogeneous unsaturated‐saturated system , 2002 .
[16] Dennis McLaughlin,et al. Stochastic analysis of nonstationary subsurface solute transport: 1. Unconditional moments , 1989 .
[17] D. McLaughlin,et al. Stochastic analysis of nonstationary subsurface solute transport: 2. Conditional moments , 1989 .
[18] Uncertainty estimation of well catchments in heterogeneous aquifers , 2002 .
[19] C. Zheng,et al. Applied contaminant transport modeling , 2002 .
[20] R. W. Andrews,et al. Sensitivity Analysis for Steady State Groundwater Flow Using Adjoint Operators , 1985 .
[21] G. Marsily. Quantitative Hydrogeology: Groundwater Hydrology for Engineers , 1986 .
[22] Peter J. Diggle,et al. Bayesian methodology to stochastic capture zone determination: Conditioning on transmissivity measurements , 2002 .
[23] O. C. Zienkiewicz,et al. The finite element method, fourth edition; volume 2: solid and fluid mechanics, dynamics and non-linearity , 1991 .
[24] S. P. Neuman,et al. Head and Velocity Covariances Under Quasi‐Steady State flow and their Effects on Advective Transport , 1996 .
[25] D. McLaughlin,et al. A Reassessment of the Groundwater Inverse Problem , 1996 .
[26] Alberto Guadagnini,et al. Nonlocal and localized analyses of conditional mean steady state flow in bounded, randomly nonuniform domains: 1. Theory and computational approach , 1999 .
[27] P. Kitanidis,et al. An Application of the Geostatistical Approach to the Inverse Problem in Two-Dimensional Groundwater Modeling , 1984 .
[28] R. Freeze. A stochastic‐conceptual analysis of one‐dimensional groundwater flow in nonuniform homogeneous media , 1975 .
[29] M. Shvidler. Correlation model of transport in Random fields , 1993 .
[30] J. Bear. Dynamics of Fluids in Porous Media , 1975 .
[31] Keith Beven,et al. A Bayesian approach to stochastic capture zone delineation incorporating tracer arrival times, conductivity measurements, and hydraulic head observations , 2003 .
[32] Yoram Rubin,et al. Flow in Heterogeneous Media Displaying a Linear Trend in the Log Conductivity , 1995 .
[33] Gour-Tsyh Yeh,et al. On the computation of Darcian velocity and mass balance in the finite element modeling of groundwater flow , 1981 .
[34] Dennis McLaughlin,et al. Correction to “Stochastic analysis of nonstationary subsurface solute transport: 1. Unconditional moments” by Wendy Graham and Dennis McLaughlin , 1989 .
[35] Allan L. Gutjahr,et al. Stochastic analysis of spatial variability in subsurface flows: 1. Comparison of one‐ and three‐dimensional flows , 1978 .
[36] C. L. Winter,et al. A Perturbation Expansion for Diffusion in a Random Velocity Field , 1984 .
[37] R. L. Naff,et al. STOCHASTIC ANALYSIS OF THREE-DIMENSIONAL FLOW IN A BOUNDED DOMAIN. , 1986 .
[38] Dongxiao Zhang,et al. On stochastic study of well capture zones in bounded, randomly heterogeneous media , 2003 .
[39] Adrian P. Butler,et al. Worth of head data in well-capture zone design: deterministic and stochastic analysis , 2004 .
[40] Alberto Guadagnini,et al. Time‐Related Capture Zones for Contaminants in Randomly Heterogeneous Formations , 1999 .
[41] Y. Rubin,et al. Investigation of flow and transport in certain cases of nonstationary conductivity fields , 1994 .
[42] Yoram Rubin,et al. Stochastic analysis of boundaries effects on head spatial variability in heterogeneous aquifers: 2. Impervious boundary , 1989 .
[43] Alberto Guadagnini,et al. Probabilistic estimation of well catchments in heterogeneous aquifers , 1996 .
[44] M. A. Mariño,et al. Stochastic groundwater flow analysis in the presence of trends in heterogeneous hydraulic conductivity fields , 1993 .
[45] Y. Rubin. Stochastic modeling of macrodispersion in heterogeneous porous media , 1990 .
[46] J. Z. Zhu,et al. The finite element method , 1977 .
[47] Stochastic delineation of well capture zones , 2004 .
[48] Matthijs van Leeuwen,et al. Stochastic determination of well capture zones , 1998 .
[49] Dongxiao Zhang. Numerical solutions to statistical moment equations of groundwater flow in nonstationary, bounded, heterogeneous media , 1998 .
[50] Harald Osnes,et al. Stochastic analysis of velocity spatial variability in bounded rectangular heterogeneous aquifers , 1998 .
[51] C. Axness,et al. Three‐dimensional stochastic analysis of macrodispersion in aquifers , 1983 .
[52] M. Bakr,et al. Stochastic groundwater quality management: Role of spatial variability and conditioning , 2003 .
[53] Keith Beven,et al. Stochastic capture zone delineation within the generalized likelihood uncertainty estimation methodology: Conditioning on head observations , 2001 .
[54] Alberto Guadagnini,et al. Convergence assessment of numerical Monte Carlo simulations in groundwater hydrology , 2004 .