DAVID A. BENSON

EDUCATION:

Ph.D., Hydrology and Hydrogeology, University of Nevada, Reno
M.S., Geological Sciences, San Diego State University
B.S., Geology, New Mexico State University

PROFESSIONAL INTERESTS:

Dr. Benson's recent interest deals with the governing equation of random particle walks.  Particles that move very far, very fast, may have a governing equation with a fractional dispersion derivative (e.g., the 1.6th). Particles that move into an immobile phase for extended periods of time experience "fractal time," with a fractional-order time derivative in the governing equation. Dr. Benson is also interested in contaminant transport in nonlinear systems, embodied in density-variable groundwater, or contaminants that partition strongly with an immiscible, non-aqueous phase.

RESEARCH AREAS:

Contaminant Transport; Hydrology of the Unsaturated Zone; Hydrogeological Controls on Availability and Quality of Ground Water; Integrated Watershed Systems.

Personal Home Page (links to papers and software)

SELECTED PUBLICATIONS:

Meerschaert, M. M., D. A. Benson, H.-P. Scheffler, and P. Becker-Kern,

Coupled governing equations for anomalous diffusion, Physical Review E 66(6), #060102(R), 2003.

Schumer, R., D. A. Benson, M. M. Meerschaert, and B. Baeumer,

Fractal Mobile/Immobile Transport, submitted May 2002, Water Resour. Res.

Schumer, R., D. A. Benson, M. M. Meerschaert, and B. Baeumer,

Multiscaling fractional advection-dispersion equations and their solutions, Water Resour. Res. 39(1), 1022, doi:10.1029/2001WR001229, 2003.

Herrick, M. G., D. A. Benson, M. M. Meerschaert, and K. R. McCall,

Hydraulic conductivity, velocity, and the order of the fractional dispersion derivative in a highly heterogeneous system, Water Resour. Res. 38(11), doi:10.1029/2001WR000914, 2002.

Meerschaert, M. M., D. A. Benson, H.-P. Scheffler, and B. Baeumer,

Stochastic solution of space-time fractional diffusion equations, Phys. Rev. E 65, 041103, 2002.

Baeumer, B., D. A. Benson, M. M. Meerschaert, and S. W. Wheatcraft,

Subordinated advection-dispersion equation for contaminant transport, Water Resour. Res. 37(6), 1543-1550, 2001.

Meerschaert, M. M., D. A. Benson, and B. Baeumer,

Operator Lévy motion and multiscaling anomalous diffusion, Phys. Rev. E 63(2), 021112, 2001.

Benson, D. A.,

A model of water streaking down a wall, Water Resour. Res. 37(2), 427-430, 2001.

Schumer, S., D. A. Benson, M. M. Meerschaert, and S. W. Wheatcraft,

Eulerian derivation of the fractional advection-dispersion equation, J. Contam. Hyd. 48(1/2), 69-88, 2001.

Benson, D. A., R. Schumer, S. W. Wheatcraft, and M. M. Meerschaert,

Fractional dispersion, Lévy motion, and the MADE tracer tests, Transp. Porous Media 42(1/2), 211-240, 2001.

Pachepsky, Y., D. A. Benson, and W. Rawls,

Simulating scale-dependent solute transport in soils with the fractional advective-dispersive equation, Soil Sci. Soc. Am. J. 64(4), 1234-1243, 2000.

Benson, D. A., S. W. Wheatcraft, and M. M. Meerschaert,

The fractional-order governing equation of Lévy motion, Water Resour. Res. 36(6), 1413-1423, 2000.

Benson, D. A., S. W. Wheatcraft, and M. M. Meerschaert,

Application of a fractional advection-dispersion equation, Water Resour. Res. 36(6), 1403-1412, 2000.

Pohll, G. M., J. J. Warwick, and D. A. Benson,

On the errors associated with two-dimensional stochastic solute transport models, Transp. Porous Media, 40(3), 281-293, 2000.

Meerschaert, M. M., D. A. Benson, and B. Baeumer,

Multidimensional advection and fractional dispersion, Phys. Rev. E. 59(5), 5026-5028, 1999.

Benson, D. A., A. E. Carey, and S. W. Wheatcraft,

Numerical advective flux in highly variable velocity fields exemplified by saltwater intrusion, J. Contam. Hyd., 34(3), 207-233, 1998.

Benson, D. A.,

User's Manual to VENT3D: A multi-compound vapor transport and phase distribution model, Available through the author, 1995.

Benson, D. A., D. Huntley, and P. C. Johnson,

Modeling vapor extraction and general transport in the presence of NAPL mixtures and nonideal conditions, Ground Water, 31(3), 437-445, 1993.

Benson, D. A.,

A Two-Dimensional, Finite-Difference Model of the Phase Distribution and Vapor Transport of Multiple Compounds, M.S. Thesis, San Diego State Univ., 1992.

Johnson, P. C., C. C. Stanley, D. L. Byers, D. A. Benson, and M. A. Acton,

Soil venting at a California site: Field data reconciled with theory; Proceedings of the First Annual West Coast Conference, Hydrocarbon Contaminated Soils and Groundwater, Newport, California, February 22, 1990.