Vijay K. Gupta
BE, Civil Engineering, 1967, University of Roorkee, India
MS, Civil Engineering, 1971, Colorado State University
PhD, Hydrology, 1973, University of Arizona
Professor of Civil and Environmental Engineering
E-mail: gupta@cses.colorado.edu
Office: Ekeley S232
Phone: 303-492-3696
Web: Gupta Research Group
(Dept. of Civil, Environmental, and Architectural Engineering)
Research Interests
Vijay has published a total of 65 papers in international journals devoted to, hydrology, soil science, geosciences, nonlinear geophysics, applied mathematics, applied probability, ecology, applied meteorology, and fractals. He published 12 invited book chapters, most of which were peer reviewed. In addition, he published 7 papers in connection with his professional service. These publications address an overarching intellectual challenge that arises in unifying biophysical processes with statistical variability across multiple scales of space and time. The challenge of scale has guided Vijay’s research career in hydrologic sciences, and his contributions to hydrologic education and service to the hydrology profession that has flowed from it.
The depth and breadth required to meet the profound scientific challenge of unification in hydrology across scales led Vijay to develop a highly interdisciplinary research career involving collaborative work with colleagues from mathematics, statistics, physics, ecology, fluvial geomorphology, environmental fluid mechanics, atmospheric sciences, and hydrologic engineering.
Vijay’s publications are grouped into two parts: Contributions to Multi-scale Hydrologic Processes are highlighted in Part-A, which formed the foundations for Multi-scale Hydrologic Phenomena given in Part-B. Hydrologic phenomena consist of problems requiring a grand synthesis of coupled processes, geometry and statistics across multiple scales of space and time. Vijay’s contributions to multi-scale hydrologic phenomena have been made mostly within the last decade.
Selected Publications
Publications available in PDF format by request
Part-A: Multiscale Hydrologic Processes
A1. Multi-Scale Mass Transport in Saturated Porous Media
Bhattacharya, R. N., and V. K. Gupta, 1979: On a statistical theory of solute transport in porous media. SIAM J. Appl. Math., 37(3):485-498.
Bhattacharya, R. N., and V. K. Gupta, 1984: On the Taylor-Aris theory of solute transport in a capillary. SIAM J. Appl. Math., 44(1): 33-39.
Bhattacharya, R. N., V. K. Gupta, and H. Walker, 1989: Asymptotics of solute dispersion in periodic porous media. SIAM J. Appl. Math., 49 (1): 96-8.
A2. Statistical-Physics of Space-Time Rainfall
Gupta, V. K., and E. Waymire, 1993: A statistical analysis of mesoscale rainfall as a random cascade. J. Appl. Meteor., 32(2): 251-267.
Over, T., and V. K. Gupta, 1994: Statistical analysis of mesoscale rainfall: Dependence of a random cascade generator on the large scale forcing. J. Appl. Meteor., 33(12), 1526-1542
Over, T., and V. K. Gupta, 1996: A space-time theory of mesoscale rainfall using random cascades. J. Geophys. Res., 101 (D21), 26319-26331.
Pavlopoulos, H., and V. K. Gupta, 2003: Scale invariance of regional wet and dry durations of rainfields: A diagnostic study, J. Geophys. Res., 108(D8), 8387.
Nordstrom, K., Gupta, V., 2003: Scaling statistics in a critical, nonlinear physical model of tropical oceanic rainfall, Nonlinear Pro. Geophys., 10, 531-543.
A3. Linking River Basin Hydrology with River Network Geomorphology
Peckham, S. and V. K. Gupta, 1999: A reformulation of Horton’s laws for large river networks in terms of statistical self-similarity, Water Resour. Res., 35(9), 2763-77.
Veitzer, S. and V. K. Gupta, 2000: Random self-similar river networks and derivations of generalized Horton’s laws in terms of statistical simple scaling, Water Resour. Res., 36(4), 1033-48.
Veitzer, S. A., B. M. Troutman, and V. K. Gupta, 2003. Power-law tail probabilities of drainage areas in river basins, Phys. Rev. E, 68, 016123-1-9.
Part B: Multi-scale Hydrologic Phenomena (1991-2006)
B1. A Nonlinear Geophysical Theory of Floods in River Basins
Gupta, V. K., and D. Dawdy, 1995: Physical interpretation of regional variations in the scaling exponents in flood quantiles, Hydrological Proc., 9(3/4), 347-361.
Gupta, V. K., S. Castro and T. M. Over, 1996: On scaling exponents of spatial peak flows from rainfall and river network geometry, J. Hydrol., 187 (1-2), 81-104.
Gupta, V.K. and E. Waymire, 1998: Spatial variability and scale invariance in hydrologic regionalization, In: Scale Dependence and Scale Invariance in Hydrology, (Ed. G. Sposito), Cambridge University Press. pp. 88-135.
Gupta, V. K., 2004: Emergence of statistical scaling in floods on Channel networks from complex runoff dynamics, In: Fractals in Geophysics, (Eds., B. S. Daya Sagar, G. Rangarajan and D. Veneziano), Chaos, Solitons and Fractals, 19(2), 357-365.
Mantilla, R. and V. Gupta. A GIS numerical framework to study the process basis of scaling statistics on river networks. IEEE Transaction (GRSL), 2(4), 404-408, 2005.
Furey, P. and V. Gupta. Effects of excess rainfall on the temporal variability of peak-discharge power laws, Adv. Water Resou., 28:1240-1253, 2005.
Mantilla, R., V. Gupta and O. Mesa. 2006. Role of coupled flow dynamics and real network structures on Hortonian scaling of peak flows, J. Hydro., 322, 155-167.
B2. Space-Time Variability of Low Stream Flows in River Networks
Furey, P. and V. K. Gupta, 2000: Space-time variability of low flows in river basins, Water Resour. Res., 36(9), 2679-2690.
Furey, P. and V. K. Gupta, 2001: A physically-based filter for separating base flow from streamflow time series, Water Resour. Res. 37(11), 2709-2722.
Furey, P. and V. K. Gupta, 2003: Diagnosing a base flow separation filter using two dynamical models, Water Resour. Res., 39(11).
B3. Coupling Global Hydrological Cycle with Life and Planetary Climate
Nevison, C., V. K Gupta, and L. Klinger, 1999: Self-sustained oscillations on Daisyworld, Tellus, 51B(4): 806-814.
Nordstrom, K., Gupta, V., and Chase, T., 2004: Salvaging the Daisyworld parable under the Dynamic Area Fraction Framework. Scientists on Gaia-II. Cambridge, MA: MIT Press.
Nordstrom, K., Gupta, V., and Chase, T., 2005: Role of the hydrological cycle in regulating the planetary climate system of a simple nonlinear dynamical model, Nonlinear Proc. Geophy., 12, 741-753.
Bhattacharya, R. N., V. K. Gupta, and E. Waymire, 1983: The Hurst effect under trends. J. Appl. Prob., 20(3):649-662.
B4. A Scale Invariant Coupling of Plants, Water, Energy and Terrain
Milne, B. T., V. K. Gupta, and C. Restrepo, 2002: A Scale Invariant Coupling of Plants, Water, Energy and Terrain. Ecoscience, 9(2):191-199.
