(formerly Lynn Schreyer Bennethum)
Associate ProfessorOffice: Neill Hall Room 225 Phone: (509) 335-3152 Fax: (509) 335-1188 Mailing address: click here
Teaching - Courses
Research InterestsI am interested in mathematically modeling porous media - any material consisting of a solid and one or more other phases. In particular I enjoy modeling swelling porous materials (materials that swell due to the addition of more material, changing the concentration of ions, or the unloading of a pressure load), and porous materials with more than one fluid phase. Examples of swelling porous media include clays (very pervasive here in the Denver area!), polymers (such as drug-delivery polymers and bio-polymers), and cell membranes. To develop models I use a combination of averaging theory and thermodynamics (exploitation of the second law and manipulating independent variables to relate theory with what is measurable). PhD students have worked on modeling drug-delivery systems involving swelling polymers such as Aleve ( Tessa Weinstein and Keith Wojciechowski), the movement of cilia in lungs (Kannanut Chamsri), and transport of water through multiphase fluid porous media ( Eric Sullivan). I have also contributed in collaborative settings to modeling forest fires, upscaled reactive transport, laminar to turbulent transition of fluid flow, and refugee movement.
- M. Addassi, L. Schreyer, B. Johannesson, and H. Lin, Pore-Scale Modeling of Vapor Transport in Partially Saturated Capillary Tube with Variable Area Using Chemical Potential, Water Resources Research, 52(9), pp. 7023-7035, 2016.
- K. Chamsri and L. Schreyer-Bennethum, Permeability of Fluid Flow Through a Periodic Array of Cylinders, Applied Mathematical Modeling, 39(1), pp. 244-254, 2015.
- K.J. Wojciechowski, J. Chen, L. Schreyer-Bennethum, and K. Sandberg Well-posedness and Numerical Solution of a Nonlinear Volterra Partial Integro-Differential Equation Modeling a Swelling Porous Media, Journal of Porous Media, 17(9), pp 763-784, 2014.
- L. Schreyer-Bennethum, Effective Stress for Saturated and Unsaturated Porous Media - A Differential Approach, Vadose Zone Journal, 13(5), 2014.
- L. S. Bennethum and J. H. Cushman. Multicomponent, Multiphase Thermodynamics of Swelling Porous Media with Electroquasistatics: I. Macroscale Field Equations, Transport in Porous Media, 47(3), pp. 309-336, 2002.
- L. S. Bennethum and J. H. Cushman. Multicomponent, Multiphase Thermodynamics of Swelling Porous Media with Electroquasistatics: II. Constitutive Theory, Transport in Porous Media, 47(3), pp. 337-362, 2002.