Abstracts of Current Research:- Mathematical methods associated with transport phenomena through porous/fractured formations: This involves the mathematical analysis and numerical implementation of the Modified Eulerian-Lagrangian method for the numerical solution of coupled systems of Partial Differential Equations. It also refers to the development of inverse methods using groundwater isotopes and environment tracers for the estimation of hydrological parameters.
- Flow, transport and heat transfer through porous/fractured media: Theoretical and numerical models describing flow of multiphase and transport of multi-components, with chemical reactions, in porous/fractured media. These concerns, e.g., saltwater intrusion, root uptake, flow through an array of pins for the upscale of a solar heat exchange, flow and component transport through the cerebral system and flow interactions between the cerebral and body systems.
- Porous/Fractured media mechanics: Theoretical and analytical developments ofmacroscopic balance expressions modeling the transport phenomenain porous/fractured media. It also concerns theoretical, numerical and experimental investigation of nonlinear/shock waves propagation in multi-fluids (or saturated) within deformable porous matrix as well as with solute transport.
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Publications:- D. Ronen, S. Sorek and J. Gilron. Rationales behind irrationality of decision-making in
groundwater quality management J. of Ground Water 50: 27 - 36 (2012)
- M. Kuznetsov, A. Yakirevich, Y. A. Pachepsky, S. Sorek and N. Weisbrod. Quasi 3D modeling of water flow in vadose zone and groundwater J. Hydrology 450 - 451: 140 - 149 (2012)
- S. Sorek and V. Borisov. Modified Eulerian – Lagrangian formulation for hydrodynamic modeling J. Comput. Phys. 231: 3083 – 3100 (2012)
- Y. Amiaz, S. Sorek, Y. Enzel and O. Dahan. Solute-transport in the vadose zone and groundwater during flash floods J. of Water Resour. Res. 47: (2012)
- M. W. Callen and S. Sorek. Explaining the Double-Slit Experiment J. Mod. Phys. 2: 30 - 35 (2011)
- S. Sorek, D. Ronen and V. Gitis. Scale-dependent Macroscopic Balance Equations Governing
Transport Through Porous Media: Theory and Observations Transport in Porous Media 81, 1: 61-72 (2010)
- A. Issar and S. Sorek. The possible dimension, additional to space-time, which physicists ignore J. of Modern Physics : 41-47 (2010)
- Shaul Sorek, Wolf von Igel, Lea Kronaveter-Goldstein, Eugene Levner. Risk-Dependent Integrated Water Resources Management:
A conceptual model AQUAmundi 1: 37 - 44 (2010)
- S. Sorek and D. Ronen. Time and space scale dependent macroscopic balance equations governing flow and transport in aquifers Advances in Subsurface Pollution of Porous
Media - Indicators, Processes and Modelling:
IAH - S 14: 151-158 (2008)
- D. Levi Hevroni, A. Levy, G. Ben-Dor and S. Sorek. The interaction of planar shock waves with multiphase saturated flexible porous materials A numerical investigation Journal of Fluid Mechanics 563: 159-188 (2006)
- S. Sorek, M. Kuznetsov, A. Yakirevitch and D. Ronen. Multiphase and Multi-component Interactions through the Unsaturated Saturated Zone: Field and Model Study Reactive Transport in Soils and Groundwater : 171-185 (2005)
- E. Holzbecher and S. Sorek. Numerical Models of Groundwater Flow and Transport Encyclopedia of Hydrological Sciences 4, 155: 2001-2144 (2005)
- S. Sorek, D. Levi-Hevroni, A. Levy and G. Ben-Dor. Extensions to the Macroscopic Navier-Stokes Equation Transport in Porous Media 61: 215-233 (2005)
- A. Yakirevich, M. Kuznetsov, S. Sorek and I. Mamieva. Simulating artificial lenses of fresh groundwater in desert conditions Geological Survey of Spain, Ser. Hydrogeology and Groundwater 15: 151-161 (2005)
- D. Ronen and S. Sorek. The unsaturated zone - a neglected component of nature Reactive Transport in Soils and Groundwater : 3-15 (2005)
- V. Borisov and S. Sorek. On monotony of difference schemes for computational physics SIAM J. Sci. Comput. 25, 5: 1557 - 1584 (2004)
- A. Gross, A. Besov, D. Rack, S. Sorek, G. Ben-Dor, A. Britan and Palchikov. Application of waves for remediation of contaminated aquifers Environmental Science & Technology 37: 4481 - 4486 (2003)
- Levi-Hevroni, D., Levy, A., Ben-Dor, G. & Sorek, S. . Numerical investigation of the propagation of planar shock waves in saturated flexible porous materials:
development of the computer code and comparison with experimental results. J. of Fluid Mechanics. 462: 285-306 (2002)
- Sorek, S., Borisov, V. & Yakirevich, A. . A two-dimensional areal model for density dependent flow regime. Transport in Porous Media. 43: 87-105 (2001)
- Sorek, S., Borisov, V. & Yakirevich, A. . Numerical modeling of coupled hydrological phenomena using the modified Eulerian Lagrangian method. Geological Society of America, Special Paper. 348: 151-160 (2000)
- Sorek, S., Levy, A., Ben-Dor, G., & Smeulders, D. . Contributions to theoretical/experimental developments in
shock waves propagation in porous media. Transport in Porous Media. 34: 63-100 (1999)
- Levy, A., Levi-Hevroni, D., Sorek, S. & Ben-Dor, G.
. Derivation of Forchheimer terms and their verification by
application to waves propagation in porous media. Intl. J. Multi-Phase Flow. 25: 683-704 (1999)
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