Martin Ferer, Ph.D.
Professor West Virginia University Department of Physics White Hall 309 PO Box 6315 Morgantown, WV 26506-6315Phone: 304-293-5099 E-mail: email@example.com
Fractal characteristics have now been observed for a number of seemingly disparate growth phenomena: the advance of a fluid/fluid interface during fluid flow, a variety of schemes for material deposition, the development and growth of cracks during a fracturing process, to name a few. As the field of fractal growth phenomena matures, the emphasis is shifting from cataloguing the unstable growth phenomena that obey a fractal geometry towards understanding what features of this growth phenomena cause the fractal character and to what extent the fractal behavior affects the behavior of equilibrium growth.
Our research on two-phase flow in porous media has demonstrated how the fractal behavior affects the viscosity dependence of uniform/compact flow. Specifically, there is a crossover from fractal to compact advance of the fluid/fluid interface when the ratio of the viscosities between the two fluids is decreased from infinity (i.e. increasing from zero viscosity injected fluid). Not only have we determined the time scale on which this fractal to compact crossover occurs; we have also determined how it depends upon the fluid viscosities. This time scale influences the behavior of the flow in the uniform/compact flow regime by determining the viscosity-ratio dependence of the usual density and current flow descriptors.
Currently, we are studying the fractal to compact crossover for flow in three-dimensional porous media, thereby extending the previous work in two-dimensional layers. We are also studying the effect of capillary pressure on the crossover. In addition, we have studied models of the fracture of materials to determine what features of the systems affect the fractal character of the fracture.
- Two-Phase Flow in Porous Media: Predicting Its Dependence on Capillary Number and Viscosity Ratio, M. Ferer, Shelley L. Anna, Paul Tortora, J. R. Kadambi, M. Oliver, Grant S. Bromhal, and Duane Smith, Transport in Porous Media, 86, 273-289 (2011) DOI 10.1007/s11242-010-9619-3.
- Characterizing the Correlations of Failure Events: a 2-d block and springs model, by M. Ferer and Duane H. Smith; Strain a Wiley-Blackwell, DOI: 10.1111/j.1475-1305.2010.00758.x, available online.
- Miscible Viscous Fingering in Three Dimensions: fractal-to-compact crossover and Interfacial Roughness, by M. Ferer, Grant S. Bromhal, and Duane H. Smith, Phys.Rev.E 80, 011602 (2009).
- A Pore-Level Model of Drainage with Stable Viscosity Ratios: Crossover from Fractal Capillary Fingering to Compact Flow, by M. Ferer, Grant S. Bromhal, and Duane H. Smith, Physical Review E, 76, 046304 (7 pages), 2007.
- Patchy Cleaning of Rigid Gas Filters-Transient Regeneration Phenomena: Comparison of Modeling to Experiment, Achim Dittler, M. Ferer, Pulkit-Mathur, P. Djuranovic, Gerhard Kasper, and Duane Smith, Powder Technology, 124, 55-66 (2002)
Ph.D., Univ. of Il. at Champaign-Urbana, 1972 B.S., University of Detroit, 1966