Ph.D. Applied Mathematics (2014), University of Arizona

Primary Advisor : Dr. C. Larrabee Winter




PhD. Minor : Hydrology and Water Resources (2014) University of Arizona

Minor Advisor : Dr. Shlomo P. Neuman




M.S. Applied Mathematics (2010)  University of Arizona

Advisor : Dr. C. Larrabee Winter




B.A. Mathematics, Religion, Ancient Studies (2007) St. Olaf College 

Research Interests:

Immersed boundary methods for simulating flow in explicit porous microstructures

Stochastic generation of virtual pore samples based on imaged pore spaces

Lagrangian observations in subsurface flow and transport simulations

Structural analysis of fluid dynamic structures in pore-scale flow

 FRAM (Feature Rejection Algorithm for Meshing)

Discrete Fracture Network Modeling of subsurface flow and transport

Mimetic finite difference methods. 

Selected Recent Publications:

Recent Publications :




A level thresholding method for the stochastic generation of three dimensional porous structures

By: Hyman, Jeffrey D.; Winter, C. Larrabee

Journal of Computational Physics 277 (2014): 16-31.

(link)




Conforming Delaunay Triangulation of Stochastically Generated Three Dimensional Discrete Fracture Networks: A Feature

Rejection Algorithm for Meshing Strategy

By: Hyman, Jeffrey D.; Gable, Carl W.; Painter, Scott L., and Makedonska, Nataliia

SIAM Journal on Scientific Computing 36.4 (2014): A1871-A1894.

(link)




Relationship between pore widths and velocity probability distributions in stochastically generated porous media

By: Siena, Martina; Riva, Monica; Hyman, Jeffrey D.; Winter, C. Larrabee; Guadagnini, Alberto

Physical Review E 89.1 (2014): 013018.

(link)




Hyperbolic regions in flows through three-dimensional pore structures

By: Hyman, Jeffrey D.; Winter, C. Larrabee

Physical Review E 88.6 (2013): 063014.

(link)




Pedotransfer functions for permeability: A computational study at pore scales

By: Hyman, Jeffrey D.; Smolarkiewicz, Piotr K.; Winter, C. Larrabee

Water Resources Research 49.4 (2013): 2080-2092.

(link)




Heterogeneities of flow in stochastically generated porous media

By: Hyman, Jeffrey D.; Smolarkiewicz, Piotr K.; Winter, C. Larrabee

PHYSICAL REVIEW E Volume: 86 Issue: 5 Article Number: 056701 Part: 2 Published: NOV 1 2012

(link)




Parallel tempering for the traveling salesman problem

By: Wang, Chiaming; Hyman, J. D.; Percus, Allon; Caflisch, Russel

International Journal of Modern Physics C 20.04 (2009): 539-556.

(link)




A comparison of body-fitted and immersed boundary methods for pore-scale modeling of fully saturated flow in synthetic porous media




By: Siena, M.; Guadagnini, A.; Riva, M.; et al.




Edited by: Hadi, K; Copty, NK




Conference: 6th International Groundwater Symposium Location: Kuwait Inst Sci Res, KUWAIT Date: NOV 19-21, 2012 Pages: 241-249 Published: 2012




Under Review or Submitted:




Influence of Injection Mode in Kilometer Scale Three-Dimensional Discrete Fracture Networks

By: Hyman, Jeffrey D.; Scott L.; Viswanathan, Hari,; and Makedonska, Nataliia,; and Karra, Satish.

Submitted to Water Resources Research 




Statistical Scaling of Geometric Characteristics in Stochastically Generated Pore Microstructures

By: Jeffrey D. Hyman, A. Guadagnini, ; and C.L. Winter 

Under review at Computational Geosciences




Effect of Advective Flow in Fractures and Matrix Diffusion on Natural Gas Production

By : Karra, S.; Makedonska, N.; Viswanathan, H.; Painter, S.; Hyman, J.D

Under review at Water Resources Research 




Shale gas and non-aqueous fracturing fluids: opportunities and challenges for supercritical CO2

By : Middleton, R.; Carey, W.J.; Currier, R.; Hyman, J.D.; Kang, W.; Karra, S.; Jimnez Martnez, J.; Porter, M.;

Viswanathan, H.;

Under review at Applied Energy




Comparative analysis of methods for pore-scale numerical modeling of fully-saturated flow in natural porous media

By : Siena, M.; Hyman. J. D Guadagnini, A.; Riva, M.; Gouze, P.; Smolarkiewicz, P.; Winter, C.L.; Inzoli, F.; Gudon, G.; Colombo, E.

Under review to Computational Geosciences




A generalized lattice Boltzmann model for flow through tight porous media with Klinkenberg’s effect

By : Chen, L.; Fang, W.; Kang, Q.; Hyman, J.D.; Viswanathan, H.; Tao, W-Q;

Under review at Physical Review E 

(link)