Publications

Journal Articles

2005

D. Xiu and D. M. Tartakovsky, "Numerical methods for differential equations in random domains", Submitted to SIAM J. Sci. Comput., 2005
M. Dentz, D. M. Tartakovsky, E. Abarca, A. Guadagnini, X. Sanchez-Vila and J. Carrera, "Perturbation analysis of variable density flow in porous media", Submitted to J. Fluid Mech., 2005
V. A. Zlotnik and D. M. Tartakovsky, "Stream depletion by groundwater pumping from leaky aquifers", Submitted to Ground Water, 2005
B. E. Wohlberg, D. M. Tartakovsky and A. Guadagnini, "Subsurface characterization with support vector machines", Submitted to IEEE Trans. Geosci. Remote Sens. (TGRS-00043-2005), 2005
F. J. Alexander, A. L. Garcia and D. M. Tartakovsky, "Noise in algorithm refinement methods", Comput. Sci. Eng., vol. 7, no. 3, pp. 32-38, 2005
W. A. Illman and D. M. Tartakovsky, "Asymptotic analysis of three-dimensional pressure interference tests: A line-injection line-monitoring solution", to appear in Adv. Water Resour., 2005
F. J. Alexander, A. L. Garcia and D. M. Tartakovsky, "Algorithm refinement for stochastic partial differential equations: II. Correlated systems", J. Comp. Phys., vol. 207, no. 2, pp. 769-787, 2005
W. A. Illman and D. M. Tartakovsky, "Asymptotic analysis of three-dimensional pressure interference tests: A point-source solution", Water. Resour. Res., vol. 41, pp. W01002 (doi:10.1029/2004WR003431), 2005
Yu. N. Lazarev, P. V. Petrov and D. M. Tartakovsky, "Interface dynamics in randomly heterogeneous porous media", Adv. Water Resour., vol. 28, no. 4, pp. 393-403, 2005

2004

D. M. Tartakovsky and B. E. Wohlberg, "Delineation of geologic facies with statistical learning theory", Geophys. Res. Lett., vol. 31, no. 18, pp. L18502 (doi:10.1029/2004GL020864), 2004
D. Xiu and D. M. Tartakovsky, "A two-scale non-perturbative approach to uncertainty analysis of diffusion in random composites", SIAM J. Multiscale Model. Simul., vol. 2, no. 4, pp. 662-674, 2004
D. M. Tartakovsky and A. Guadagnini, "Effective properties of random composites", SIAM J. Sci. Comp., vol. 26, no. 2, pp. 625-635, 2004
L. Guadagnini, A. Guadagnini and D. M. Tartakovsky, "Probabilistic reconstruction of geologic facies", J. Hydrol., vol. 294, pp. 57-67, 2004
M. Ye, S. P. Neuman, Alberto Guadagnini and D. M. Tartakovsky, "Nonlocal and localized analyses of conditional mean transient flow in bounded, randomly heterogeneous porous media", Water Resour. Res., vol. 40, pp. W05104 (doi:10.1029/2003WR002099), 2004
A. M. Tartakovsky, L. Garcia-Naranjo and D. M. Tartakovsky, "Transient flow in a heterogeneous vadose zone with uncertain parameters", Vadose Zone J., vol. 3, no. 1, pp. 154-163, 2004

2003

D. M. Tartakovsky, A. Guadagnini and M. Riva, "Stochastic averaging of nonlinear flows in heterogeneous porous media", J. Fluid Mech., vol. 492, pp. 47-62, 2003
A. Guadagnini, L. Guadagnini, D. M. Tartakovsky and C. L. Winter, "Random domain decomposition for flow in heterogeneous stratified aquifers", Stochastic Environ. Res. and Risk Assessment (SERRA), vol. 17, no. 6, pp. 394-407, 2003
P. C. Lichtner and D. M. Tartakovsky, "Upscaled effective rate constant for heterogeneous reactions", Stochastic Environ. Res. and Risk Assessment (SERRA), vol. 17, no. 6, pp. 419-429, 2003
D. M. Tartakovsky, Z. Lu, A. Guadagnini and A. M. Tartakovsky, "Unsaturated flow in heterogeneous soils with spatially distributed uncertain hydraulic parameters", J. Hydrol., vol. 275, no. 3-4, pp. 182-193, 2003
C. L. Winter, D. M. Tartakovsky and A. Guadagnini, "Moment equations for flow in highly heterogeneous porous media", Surv. Geophys., vol. 24, no. 1, pp. 81-106, 2003

2002

F. J. Alexander, A. L. Garcia and D. M. Tartakovsky, "Algorithm refinement for stochastic partial differential equations: 1. Linear diffusion", J. Comp. Phys., vol. 182, pp. 47-66, 2002
C. L. Winter and D. M. Tartakovsky, "Groundwater flow in heterogeneous composite aquifers", Water Resour. Res., vol. 38, no. 8, pp. 23.1 (doi:10.1029/2001WR000450), 2002
Y. Hyun, S. P. Neuman, V. V. Vesselinov, W. A. Illman, D. M. Tartakovsky and V. Di Federico, "Theoretical interpretation of a pronounced permeability scale effect in unsaturated fractured tuff", Water Resour. Res., vol. 38, no. 6, pp. 28.1 (doi:10.1029/2001WR000658), 2002
Z. Lu, S. P. Neuman, A. Guadagnini and D. M. Tartakovsky, "Conditional moment analysis of steady state unsaturated flow in bounded, randomly heterogeneous soils", Water Resour. Res., vol. 38, no. 4, pp. 9.1 (doi:10.1029/2001WR000278), 2002
R. J. Pawar and D. M. Tartakovsky, "Propagation of measurement and interpretive errors through porous flow modeling process", Acta Universitatis Carolinae Geologica, vol. 46, no. 2-3, pp. 562-565, 2002
D. M. Tartakovsky, A. Guadagnini, F. Ballio and A. M. Tartakovsky, "Localization of mean flow and equivalent transmissivity tensor for bounded randomly heterogeneous aquifers", Transport in Porous Media, vol. 49, no. 1, pp. 41-58, 2002
D. M. Tartakovsky, P. C. Lichtner and R. J. Pawar, "PDF methods for reactive transport in porous media", Acta Universitatis Carolinae Geologica, vol. 46, no. 2-3, pp. 113-116, 2002
C. L. Winter, D. M. Tartakovsky and A. Guadagnini, "Numerical solutions of moment equations for flow in heterogeneous composite aquifers", Water Resour. Res., vol. 38, no. 5, pp. 13.1 (doi:10.1029/2001WR000222), 2002
A. Guadagnini, L. Guadagnini, D. M. Tartakovsky and C. L. Winter, "Moment analysis of flow in heterogeneous layered aquifers", Acta Universitatis Carolinae Geologica, vol. 46, no. 2-3, pp. 120-123, 2002
D. M. Tartakovsky and C. L. Winter, "Radial flow in heterogeneous aquifers with uncertain hydraulic parameters", Acta Universitatis Carolinae Geologica, vol. 46, no. 2-3, pp. 155-157, 2002

2001

D. M. Tartakovsky and A. Guadagnini, "Prior mapping for nonlinear flows in random environments", Phys. Rev. E, vol. 64, pp. 5302(R)-5305(R), 2001
C. L. Winter and D. M. Tartakovsky, "Theoretical foundation for conductivity scaling", Geophys. Res. Lett., vol. 28, no. 23, pp. 4367-4370, 2001
S. Assouline and D. M. Tartakovsky, "Unsaturated hydraulic conductivity function based on a fragmentation process", Water Resour. Res., vol. 37, no. 5, pp. 1309-1312, 2001
D. M. Tartakovsky and C. L. Winter, "Dynamics of Free Surfaces in Random Porous Media", SIAM J. Appl. Math., vol. 61, no. 6, pp. 1857-1876, 2001

2000

D. M. Tartakovsky, J. D. Moulton and V. Zlotnik, "Kinematic structure of mini-permeameter flow", Water Resour. Res., vol. 36, no. 9, pp. 2433-2442, 2000
C. L. Winter and D. M. Tartakovsky, "Mean flow in composite porous media", Geophys. Res. Lett., vol. 27, no. 12, pp. 1759-1762, 2000
D. M. Tartakovsky, A. Guadagnini and L. Guadagnini, "Effective hydraulic conductivity and transmissivity for heterogeneous aquifers", Math. Geology, vol. 32, no. 6, pp. 751-759, 2000
D. M. Tartakovsky, "An analytical solution for two-dimensional contaminant transport during groundwater extraction", J. Contam. Hydrol., vol. 42, no. 2-4, pp. 273-283, 2000
D. M. Tartakovsky, "Real gas flow through heterogeneous porous media: Theoretical aspects of upscaling", Stochastic Environ. Res. and Risk Assessment (SERRA), vol. 14, no. 2, pp. 109-122, 2000

1999

D. M. Tartakovsky, "Stochastic analysis of heterogeneous phreatic aquifers", Water Resour. Res., vol. 35, no. 12, pp. 3941-3946, 1999
D. M. Tartakovsky, "Prediction of steady-state flow of real gases in randomly heterogeneous porous media", Physica D, vol. 133, no. , pp. 463-468, 1999
V. Di Federico, S. P. Neuman and D. M. Tartakovsky, "Anisotropy, lacunarity, upscaled conductivity, and its covariance in multiscale random fields with truncated power variograms", Water Resour. Res., vol. 35, no. 10, pp. 2891-2908, 1999
D. M. Tartakovsky and S. P. Neuman, "Extension of "Transient flow in bounded randomly heterogeneous domains\ 1. Exact conditional moment equations and recursive approximations"", Water Resour. Res., vol. 35, no. 6, pp. 1921-1925, 1999
D. M. Tartakovsky, S. P. Neuman and Z. Lu, "Conditional stochastic averaging of steady state unsaturated flow by means of Kirchhoff transformation", Water Resour. Res., vol. 35, no. 3, pp. 731-745, 1999
D. M. Tartakovsky and I. Mitkov, "Some aspects of head-variance evaluation", Comp. Geosci., vol. 3, no. 1, pp. 89-92, 1999

1998

I. Mitkov, D. M. Tartakovsky and C. L. Winter, "Dynamics of wetting fronts in porous media", Phys. Rev. E, vol. 58, no. 5, pp. 245R-5248R, 1998
D. M. Tartakovsky and S. P. Neuman, "Transient flow in bounded randomly heterogeneous domains 1. Exact conditional moment equations and recursive approximations", Water Resour. Res., vol. 34, no. 1, pp. 1-12, 1998
D. M. Tartakovsky and S. P. Neuman, "Transient flow in bounded randomly heterogeneous domains 2. Localization of conditional mean equations and temporal nonlocality effects", Water Resour. Res., vol. 34, no. 1, pp. 13-20, 1998
D. M. Tartakovsky and S. P. Neuman, "Transient effective hydraulic conductivities under slowly and rapidly varying mean gradients in bounded three-dimensional random media", Water Resour. Res., vol. 34, no. 1, pp. 21-32, 1998

1997

V. Di Federico and D. M. Tartakovsky, "Stima analitica del trasporto di soluto verso un dreno (in Italian) An analytical estimate of solute transport towards a drain)", L'Acqua, vol. 6, pp. 51-57, 1997
D. M. Tartakovsky and V. Di Federico, "An analytical solution for contaminant transport in non-uniform flow", Transport in Porous Media, vol. 27, no. 1, pp. 85-97, 1997

1996

E. K. Paleologos, S.P. Neuman and D. M. Tartakovsky, "Effective hydraulic conductivity of bounded, strongly heterogeneous porous media", Water Resour. Res., vol. 32, no. 5, pp. 1333-1341, 1996
S. P. Neuman, D. M. Tartakovsky, T. C. Wallstrom and C. L. Winter, "Correction to the Neuman and Orr ``Nonlocal theory of steady state flow in randomly heterogeneous media''", Water Resour. Res., vol. 32, no. 5, pp. 1479--1480, 1996

1994

D. M. Tartakovsky, "Limiting analytical solutions for complex saturated and unsaturated transport problems", Transport in Porous Media, vol. 17, pp. 257-269, 1994

1993

A. R. Kasimov and D. M. Tartakovsky, "Estimations of tracer migration time in groundwater flow", Comp. Maths Math. Phys., 1993

Conference Proceedings

2004

D. M. Tartakovsky and D. Xiu, "Uncertainty quantification for flow in highly heterogeneous porous media", in Proceedings of the XV International Conference "Computational Methods in Water Resources (CMWR 2004)", (Chapel Hill, North Carolina), pp. 695-704, Jun 2004
D. M. Tartakovsky, A. Guadagnini, X. Sanchez-Vila, M. Dentz and J. Carrera, "A perturbation solution to the transient Henry problem for seawater intrusion", in Proceedings of the XV International Conference "Computational Methods in Water Resources (CMWR 2004)", (Chapel Hill, North Carolina), pp. 1573-1582, Jun 2004
L. Guadagnini, A. Guadagnini and D. M. Tartakovsky, "A geostatistical model for distribution of facies in highly heterogeneous aquifers", in Proceedings of the 4th European Conference on Geostatistics for Environmental Applications (geoENV-2002), (Barcelona, Spain, November 27-29, 2002), pp. 211-222, 2004

2003

D. M. Tartakovsky, A. Guadagnini, L. Guadagnini and S. Franzetti, "Apparent conductivity of random composite formations", in Proceedings of the XXX IAHR Congress, (Thessaloniki, Greece), Aug 2003
A. Guadagnini, L. Guadagnini, D. M. Tartakovsky and C. L. Winter, "Solution of moment equations of groundwater flow in random composite layered aquifers", in IAHS-AISH Publication No. 277, Eds. K. Kovar, Z. Hrkal (Conference on Calibration and Reliability in Groundwater Modelling (ModelCARE 2002) , (Prague, Czech Republic, June 17-20), pp. 108-114, Jun 2003
D. M. Tartakovsky, P. C. Lichtner and R. J. Pawar, "PDF methods for reactive transport in porous media", in IAHS-AISH Publication No. 277, Eds. K. Kovar, Z. Hrkal (Conference on Calibration and Reliability in Groundwater Modelling (ModelCARE 2002), (Prague, Czech Republic, June 17-20), pp. 162-167, Jun 2003

2002

A. M. Tartakovsky, S. P. Neuman and D. M. Tartakovsky, "Mean and variance of DNAPL finger development in a saturated, randomly heterogeneous porous medium", in Proceedings of the XIV International Conference "Computational Methods in Water Resources (CMWR 2002)", (Delft, the Netherlands, June 23-28), pp. 1307-1314, Jun 2002
M. Ye, S. P. Neuman, A. Guadagnini and D. M. Tartakovsky, "Nonlocal and localized analyses of conditional mean transient flow in bounded, randomly nonuniform domains", in Proceedings of the XIV International Conference "Computational Methods in Water Resources (CMWR 2002)", (Delft, the Netherlands, June 23-28), pp. 1155-1162, Jun 2002

2001

V. V. Vesselinov, W. I. Illman, Y. Hyun, S. P. Neuman, V. Di Federico and D. M. Tartakovsky, "Pronounced permeability and porosity scale-effect in unsaturated fractured tuffs", in Proceedings of the Conference "Fractured Rock 2001, (Toronto, Canada, March 26-28), Mar 2001

2000

R. J. Pawar and D. M. Tartakovsky, "Propagation of measurement errors in reservoir modeling", in Computational Methods in Water Resources, Vols. 1 and 2: Computational Methods for Subsurface Flow and Transport - Computational Methods, Surface Water Systems and Hydrology, Eds. L.R. Bentley, J.F. Sykes, C.A. Brebbia, W.G. Gray, G.F. Pinder (Proceedings of the XIII International Conference "Computational Methods in Water Resources") , (Calgary, Canada, June 25-29), pp. 15-20, Jun 2000
Z. M. Lu, S. P. Neuman, A. Guadagnini and D. M. Tartakovsky, "Direct solution of unsaturated flow in randomly heterogeneous soils", in Computational Methods in Water Resources, Vols. 1 and 2: Computational Methods for Subsurface Flow and Transport - Computational Methods, Surface Water Systems and Hydrology, Eds. L.R. Bentley, J.F. Sykes, C.A. Brebbia, W.G. Gray, G.F. Pinder (Proceedings of the XIII International Conference "Computational Methods in Water Resources"), (Calgary, Canada, June 25-29), pp. 785-792, Jun 2000
A. Guadagnini and D. M. Tartakovsky, "Stochastic analysis of groundwater pumping from bounded, randomly heterogeneous aquifers", in Geological Society of America Special Papers, No. 348, Eds. D. Zhang and C.L. Winter (Symposium on theory, modeling, and field investigation in hydrogelogy in honor of Shlomo P. Neuman's 60th Birthday) , (Tucson, October 17, 1998), pp. 73-79, 2000
V. Di Federico and D. M. Tartakovsky, "Effective hydraulic conductivity in multiscale random fields with truncated power variograms", in Geological Society of America Special Papers, No. 348, Eds. D. Zhang and C.L. Winter (Symposium on theory, modeling, and field investigation in hydrogelogy in honor of Shlomo P. Neuman's 60th Birthday), (Tucson, October 17, 1998), pp. 81-89, 2000
M. Riva, A. Guadagnini, S. P. Neuman and D. M. Tartakovsky, "Three-dimensional steady state flow to a well in a randomly heterogeneous aquifer", in IAHS Publication No. 265, Eds. F. Stauffer, W. Kinzelbach, K. Kovar, E. Hoen (ModelCARE'99) , (Zurich, Switzerland, September 20-23, 1999), pp. 131-136, 2000

1999

D. M. Tartakovsky, A. Guadagnini and M. Riva, "Stochastic analysis of effective conductivity for bounded, randomly heterogeneous aquifers", in Proceedings of the 5th Annual Conference of the International Association for Mathematical Geology (IAMG99), Vol. II, (Trondheim, Norway, August 6-11), pp. 760-766, Aug 1999
D. M. Tartakovsky, A. Guadagnini and L. Guadagnini, "Stochastic averaging and estimate of effective (upscaled) conductivity and transmissivity", in Proceedings of the 5th Annual Conference of the International Association for Mathematical Geology (IAMG99), Vol. II, (Trondheim, Norway, August 6-11), pp. 755-760, Aug 1999
D. M. Tartakovsky and C. L. Winter, "Groundwater flow in composite aquifers under uncertainty", in Proceedings of the International Conference Calibration and Reliability in Groundwater Modeling (ModelCARE'99), (Zurich, Switzerland, September 20-23, 1999), 1999
D. M. Tartakovsky and C. L. Winter, "Scale-dependent Darcy flows in fractured media", in Dynamics of fluids in fractured rocks: Concepts and recent advances. Proceedings of the international sympiosium in honor of Paul A. Witherspoon, (Berkeley, February 10-12), pp. 224-225, 1999
S. P. Neuman, D. M. Tartakovsky, C. Filippone, O. Amir and Z. Lu, "Deterministic prediction of unsaturated flow in randomly heterogeneous soils under uncertainty without upscaling", in Proceedings of the 1997 International Workshop on Characterization and Measurement of the Hydraulic Properties of Unsaturated Porous Media. Edited by M.Th. Van Genuchten, F.J. Leij, and L. Wu, (Riverside), pp. 1351-1365, 1999

1998

A. Guadagnini, L. Guadagnini and D. M. Tartakovsky, "Prediction of steady state flow in randomly heterogeneous formations by conditional nonlocal finite elements", in Proceedings of the second European conference on geostatistics for environmental applications (ISBN 0-7923-5783-3), (Valencia, Spain, November 18-20), pp. 271-282, 1998