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«Ababou, R., Three-dimensional flow in random porous media, Ph.D. thesis, Dep. of Civ. Eng., Mass.Inst. of Technol., Cambridge, Mass., 1988. Ababou, ...»

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Harter Dissertation - 1994 - 406


Ababou, R., Three-dimensional flow in random porous media, Ph.D. thesis, Dep. of Civ. Eng.,

Mass.Inst. of Technol., Cambridge, Mass., 1988.

Ababou, R., Stochastic analysis of unsaturated flow and transport, in "Report on research

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Center for Nuclear Waste Regulatory Analyses, San Antonio, Texas, August, 1991.

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Bellin, A., P. Salandin, A. Rinaldo, Simulation of dispersion in heterogeneous porous formations: statistics, first-order theories, convergence of computations, Water Resour.

Res., 28, 221-2227, 1992.

Binsariti, A. A., Statistical analysis and stochastic modeling of the Cortaro aquifer in Southern Arizona, Ph.D. disseration, Dep. of Hydrology and Water Resources, University of Arizona, Tucson, Arizona, 1980.

Harter Dissertation - 1994 - 407 Bras, R. L., I. Rodríguez-Iturbe, Random functions and hydrology, Addison-Wesley, Reading, Massachussetts, 1985.

Bresler, E., G. Dagan, Convective and pore scale dispersive solute transport in unsaturated heterogeneous fields, Water Resour. Res., 17, 1683-1693, 1981.

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Butters, G.L., W.A. Jury, Field scale transport of bromide in an unsaturated soil, 2. Dispersion modeling, Water Resour. Res., 25, 1583-1589, 1989.

Byers, E., D.B. Stephens, Statistical and stochastic analysis of hydraulic conductivity and particle size in a fluvial sand, Soil Science Soc. Am. J., 47, 1072-1080, 1983.

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Cvetkovic, V., A.M. Shapiro, G. Dagan, A solute flux approach to transport in heterogeneous formations, 2. Uncertainty analysis, Water Resour. Res., 28, 1377-1388, 1992.

–  –  –

Dagan, G., Stochastic modeling of groundwater flow by unconditional and conditional probabilities, 1. Conditional simulation and the direct problem, Water Resour. Res., 18, 813-833, 1982a.

Dagan, G., Stochastic modeling of groundwater flow by unconditional and conditional probabilities, 2. The solute transport, Water Resour. Res., 18, 835-848, 1982b.

Dagan, G., Solute transport in heterogeneous porous formations, J. Fluid Mechnics, 145, 151Dagan, G., A note on higher-order corrections of the head covariances in steady aquifer flow, Water Resour. Res., 21, 573-578, 1985.

Dagan, G., Statistical theory of groundwater flow and transport: pore to laboratory, laboratory to formation, and formation to regional scale, Water Resour. Res., 22, 120S-134S, 1986.

Dagan, G., Theory of solute transport by groundwater, Ann. Rev. Fluid Mech., 19, 183-215, 1987.

Dagan, G., Time-dependent macrodispersion for solute transport in anisotropic heterogeneous aquifers, Water Resour. Res., 24, 1491-1500, 1988.

Dagan, G., Transport in heterogeneous porous formations: spatial moments, ergodicity, and effective dispersion, Water Resour. Res., 26, 1281-1290, 1990.

Dagan, G., V. Cvetkovic, A.M. Shapiro, A solute flux approach to transport in heterogeneous formations, 1. The general framework, Water Resour. Res., 28, 1369-1376, 1992.

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Desbarats, A.J., Spatial averaging of hydraulic conductivity in three-dimensional heterogeneous porous media, Math. Geol., 24, 249-267, 1992.

Destouni, G., V. Cvetkovic, The effect of heterogeneity on large scale solute transport in the unsaturated zone, Nordic Hydrol., 20, 43-52, 1989.

Destouni, G., V. Cvetkovic, Field-scale mass arrival of sorptive solute into the groundwater, Water Resour. Res., 27, 1315-1325, 1991.

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Ellsworth, T.R., W.A. Jury, F.F. Ernst, P.J. Shouse, A three-dimensional field study of solute transport through unsaturated, layered porous media, 1. Methodology, mass recovery, and mean transport, Water Resour. Res., 27, 951-965, 1991.

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Gelhar, L.W., Stochastic subsurface hydrology from theory to applications, Water Resour. Res., 22, 135S-145S, 1986.

Glass, R.J., T.S. Steenhuis, J.-Y. Parlange, Wetting front instability as a rapid and far-reaching hydrologic process in the vadose zone, J. of Contam. Hydrol. 3, 207-226, 1988.

Gomez-Hernandez, J.J., R.M. Srivastava, ISIM3D: an ANSI-C three-dimensional multiple indicator conditional simulation program, Computers and Geosciences, 16, 395-440, 1990.

Gomez-Hernandez, J.J., A stochastic approach to the simulation of block conductivity fields conditioned upon data measured at a smaller scale, Ph.D. dissertation, Department of Applied Earth Sciences, Standford University, 351 pp., 1991.

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1. Unconditional moments, Water Resour. Res., 25, 215-232, 1989a.

Graham, W., D. McLaughlin, Stochastic analysis of nonstationary subsurface solute transport,

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Harter Dissertation - 1994 - 410

Gray, R.M., L.D. Davisson, Random processes: a mathematical approach for engineers, 305pp., Prentice-Hall, Englewood-Cliffs, New Jersey, 1986.

Greminger, P.J., Y.K. Sud, D.R. Nielsen, Spatial variability of field-measured soil-water characteristics, Soil Science Soc. Am. J., 49, 1075-1082.

Gutjahr, A.L., L.W. Gelhar, A.A. Bakr, J.R. McMillan, Stochastic analysis of spatial variability in subsurface flows. Part II: Evaluation and application, Water Resources Research, 14, 953-960, 1978.

Gutjahr, A.L., Fast Fourier transforms for random field generation, Project Report for Los Alamos Grant to New Mexico Tech, Contract number 4-R58-2690R, Department of Mathematics, New Mexico Tech, Socorro, New Mexico, 1989.

Gutjahr, A. L., Q. Bai, S. Hatch, Conditional simulation applied to contaminant flow modeling, Technical Completion Report, Department of Mathematics, New Mexico Institute of Mining and Technology, Socorro, New Mexico, 1992.

Gutjahr, A.L., B. Bullard, S. Hatch, L. Hughson, Joint conditional simulations and the spectral approach for flow modeling, submitted to: Journal of Stochastic Hydrology, 1994.

Harter, Th., Conditional simulation: a comprehensive review of some important numerical techniques, preliminary examination report, personal communication, 1992.

Harter, Th., T.-C. J. Yeh, A. L. Gutjahr, Conditional simulation of unsaturated flow-fields for assessing contaminant transport in heterogeneous soils, EOS, Transactions American Geophysical Union, Supplement, p.127, October 27, 1992.

Harter, Th., T.-C.J. Yeh, Conditional simulation of unsaturated transport in highly heterogeneous soil profiles, EOS, Transactions, American Geophysical Union, 74, Supplement, p.308, October 26, 1993.

Harter, Th., T.-C.J. Yeh, An efficient method for simulating steady unsaturated flow in random porous media: using an analytical perturbation solution as initial guess to a numerical model, Water Resour. Res., 29, 4139-4149, 1993.

Haan, C.T., Statistical methods in hydrology, 378 pp., Iowa State University Press, Ames, Iowa, 1977.

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Hopmans, J. W., H. Schukking, P. J. J. F. Torfs, Two-dimensional steady state unsaturated water flow in heterogeneous soils with autocorrelated soil hydraulic properties, Water Resour.

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Isaaks, E.H., R.M. Srivastava, An introduction to applied geostatistics, 559 pp., Oxford University Press, Oxford, 1989.

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Journel, A.G., Ch.J. Hujibregts, Mining Geostatistic, 600 pp., Academic Press, San Diego, 1978.

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Journel, A.G., Fundamentals in geostatistics in five lessons, Stanford Center for Reservoir Forecasting, Applied Earth Sciences Department, Stanford, California, 1988.

Journel, A.G., J.J. Gomez-Hernandez, Stochastic imaging of the Wilmington clastic sequence, 64th Annual Technical Conference and Exhibition of the Society of Petroleum Engineers, San Antonio, Texas, October 8-11, 1989, SPE 19857, p. 591-606, 1989.

Jury, W.A., G. Sposito, R.E. White, A transfer function model of solute transport through soil,

1. Fundamental concepts, Water Resour. Res., 22, 243-247, 1986.

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Kalos, M.H., P.A. Whitlock, Monte Carlo methods, volume 1: basics, 186pp., John Wiley, New York, 1986.

Kim, Y.C., Advanced geostatistics for highly skewed data, Department of Mining and Geological Engineering, University of Arizona, Tucson, Arizona, 1988.

Kitanidis, P.K., E.G. Vomvoris, A geostatistical approach to the inverse problem in groundwater modeling (steady state) and one-dimensional simulations, Water Resour. Res., 19, 677

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Knuth, D. E., Seminumerical algorithms, 2nd ed., vol. 2 of The Art of Computer Programming, Reading, Mass, 1981.

Lauren, J.G., R.J. Wagenet, J. Bouma, J.H.M. Wonston, Variability of saturated hydraulic conductivity in a glossaquic hapludalf with macropores, Soil Science, 145, 2005-2017.

Levin, O., Stochastic analysis of flow and transport in three-dimensional heterogeneous media, preliminary draft, Ph.D. disseration, University of Arizona, 1994.

Li, S.-G., D. McLaughlin, A nonstationary spectral method for solving stochastic groundwater problems: unconditional analysis, Water Resour. Res., 27, 1589-1605, 1991.

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