David A Benson
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Explore the profile of David A Benson including associated specialties, affiliations and a list of published articles.
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17
Citations
49
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Recent Articles
1.
Benson D
Ground Water
. 2023 Jul;
62(2):285-294.
PMID: 37392403
Inspired by the analysis by Mishra et al. (2012) of variable pumping rate tests using piecewise-linear reconstructions of the pumping history, this article contains a derivation of the convolutional form...
2.
Reactive particle-tracking solutions to a benchmark problem on heavy metal cycling in lake sediments
Schmidt M, Pankavich S, Navarre-Sitchler A, Engdahl N, Bolster D, Benson D
J Contam Hydrol
. 2020 Jul;
234:103642.
PMID: 32688144
Geochemical systems are known to exhibit highly variable spatiotemporal behavior. This may be observed both in non-smooth concentration curves in space for a single sampling time and also in variability...
3.
Sund N, Bolster D, Benson D
Phys Rev E
. 2016 Nov;
94(4-1):043107.
PMID: 27841538
The spatial Markov model is a Lagrangian random walk model, widely and successfully used for upscaling transport in heterogeneous flows across a broad range of problems. It is particularly useful...
4.
Engdahl N, Benson D, Bolster D
Phys Rev E Stat Nonlin Soft Matter Phys
. 2014 Dec;
90(5-1):051001.
PMID: 25493728
The ability for reactive constituents to mix is often the key limiting factor for the completion of reactions across a huge range of scales in a variety of media. In...
5.
Meerschaert M, Dogan M, Van Dam R, Hyndman D, Benson D
Water Resour Res
. 2014 Jan;
49(8).
PMID: 24415806
Hydraulic conductivity () fields are used to parameterize groundwater flow and transport models. Numerical simulations require a detailed representation of the field, synthesized to interpolate between available data. Several recent...
6.
Bolster D, Benson D, Meerschaert M, Baeumer B
Physica A
. 2013 Nov;
392(10).
PMID: 24223468
We study instantaneous, mixing-driven, bimolecular equilibrium reactions in a system where transport is governed by a multidimensional space fractional dispersion equation. The superdiffusive, nonlocal nature of the system causes the...
7.
Benson D, Bolster D, Paster A
J Chem Phys
. 2013 Apr;
138(13):131101.
PMID: 23574201
The connection between the governing equations of chemical reaction and the underlying stochastic processes of particle collision and transformation have been developed previously along two end-member conditions: perfectly mixed and...
8.
Benson D, Meerschaert M, Revielle J
Adv Water Resour
. 2013 Mar;
51:479-497.
PMID: 23524449
Fractional derivatives can be viewed either as handy extensions of classical calculus or, more deeply, as mathematical operators defined by natural phenomena. This follows the view that the diffusion equation...
9.
Bolster D, Benson D, Le Borgne T, Dentz M
Phys Rev E Stat Nonlin Soft Matter Phys
. 2010 Sep;
82(2 Pt 1):021119.
PMID: 20866787
Spatially nonlocal transport describes the evolution of solute concentration due to mass transfer over long ranges. Such long-range mass transfer, present in many flow situations, changes the character of mixing...
10.
Okunade A, Suraratdecha C, Benson D
Health Econ
. 2009 May;
19(3):365-76.
PMID: 19405046
Several papers in the leading health economics journals modeled the determinants of healthcare expenditure using household survey or family budgets data of developed countries. Past work largely used self-reported current...