Refereed articles in scientific journals

  1. S. Sorek and J. Blech, Finite Element Technique for Solving Problems Formulated by Hamilton's Principle, J. of Computer and Structures, 15 (5), 533-541, 1982.
  2. S. Sorek, A Stationary Principle for Non-Conservative Systems, Adv. Water Resources, 7, 85-88, 1984.
  3. T. Rascoe and S. Sorek, An Efficient Algorithm lntegrating a Discretized Mesh and a Profile Solver, Adv. Eng. Software, 7 (1), 42-44, 1985.
  4. S. Sorek, Eulerian-Lagrangian Formulation for Flow in Soils: Theory, Adv. Water Resources, 8, 118-120, 1985.
  5. S. Sorek and S. Sideman, A Porous Medium Approach for Modelling Heart Mechanics. A. Theory, Mathematical Biosciences, 81, 1-14, 1986.
  6. S. Sorek and S. Sideman, A Porous Medium Approach for Modelling Heart Mechanics. B. l-D Case, Mathematical Biosciences, 81, 14-32, 1986.
  7. Z. Karni, J. Bear, S. Sorek and Z. Pinczewski, Quasi-Steady State Compartmental Model of Intracranial Fluid Dynamics, Med. and Biol. Eng. and Comput., 25, 167-172, 1987.
  8. S. Sorek, J. Bear and Z. Karni, A Non-Steady Compartmental Flow Model of the Cerebrovascular System, J. of Biomechanics, 21 (9), 695-704, 1988.
  9. S. Sorek, M. Feinsod and J. Bear, Can NPH be Caused by Cerebral Small Vessel Disease? A New Look Based on a Mathematical Model, Med. and Biol. Eng. and Comput., 26 (3), 310-313, 1988.
  10. S. Sorek, J. Bear and Z. Karni, Intracranial Compartmental Pulse-Wave Simulation, Mathematical Biosciences, 89, 149-159, 1988.
  11. S. Sorek, Two-Dimensional Adaptive Eulerian-Lagrangian Method for Mass Transport with Spatial Velocity Distribution, Transport in Porous Media, 3 473-489, 1988.
  12. S. Sorek, Eulerian-Lagrangian Method for Solving Transport in Aquifers, Adv. Water Resources, 11 (2), 67-73, 1988.
  13. S. Sorek and C. Braester, Eulerian-Lagrangian Formulation of the Equations for Groundwater Denitrification Using Bacterial Activity, Adv. Water. Resources., 11 (4), 162-169, 1988.
  14. S. Sorek, J. Bear and Z. Karni, Resistances and Compliances of a Compartmental Model of the Cerebrovascular System, Annals of Biomedical Eng., 17, 1-12, 1989.
  15. E. Adar and S. Sorek, Multi-Compartmental Modelling for Aquifer Parameter Estimation Using Natural Tracers in Non-steady Flow, Adv. Water Resources, 12, 84-89, 1989.
  16. J. Bear and S. Sorek, Evolution of Governing Mass and Momentum Balances Following an Abrupt Pressure Impact in a Porous Medium, Transport in Porous Media, 5, 169-185, 1990.
  17. J. Bear, S. Sorek, G. Ben-Dor and G. Mazor, Displacement Waves in Saturated Thermoelastic Porous Media, I. Basic Equations, Fluid Dynamic Research, 9, 155-164, 1992.
  18. E. Adar, A. Issar, S. Sorek and I. Gev, Modelling of Flow Pattern in a Shallow Aquifer Affected by Reservoirs: I. Implementation of Environmental Tracers, Transport in Porous Media, 8, 1-20, 1992.
  19. S. Sorek, E. Adar and A. Issar, Modelling of Flow Pattern in a Shallow Aquifer Affected by Reservoirs: II. Method of Estimating Flow Parameters Using Environmental Tracers, Transport in Porous Media, 8, 21-35, 1992.
  20. S. Sorek, J. Bear, G. Ben-Dor and G. Mazor, Shock Waves in Saturated Thermoelastic Porous Media, Transport in Porous Media, 9, 3-13, 1992.
  21. M. Silberbush, S. Sorek and A. Yakirevich, K+ Uptake by Root Systems Grown in Soil Under Salinity: I. A Mathematical Model, Transport in Porous Media, 11, 101-116, 1993.
  22. A. Levy, G. Ben-Dor, B. Skews and S. Sorek, Head-on collision of normal shock waves with rigid porous materials, Experiments in Fluids, 15, 183-190, 1993.
  23. A. Levy, G. Ben-Dor, S. Sorek and J. Bear, Jump condition across strong compaction waves in gas saturated rigid porous media, Shock Waves, 3 (2), 105-111, 1993.
  24. G. Mazor, G. Ben-Dor, O. Igra, and S. Sorek, Shock Wave Interaction with Cellular Materials: I. Analytical Investigation and Governing Equations, Shock Waves, 3, 159-165, 1994.
  25. G. Ben-Dor, G. Mazor, O. Igra, S. Sorek, and H. Onedera, Shock Waves Interaction with Cellular Materials: II. Open Cell Foams: Experimental and Numerical Results, Shock Waves, 3, 167-179, 1994.
  26. A. Yakirevich, S. Sorek and M. Silberbush, K+ Uptake by Root Systems Grown in Soil Under Salinity: II. Sensitivity Analysis, Transport in Porous Media, 14, 123-141, 1994 .
  27. S. Sorek, A. Yakirevich and M. Feinsod, A Compartmental Brain Model for Chemical Transport and CO_2 Controlled Blood Flow, Frontiers of Medical and Biological Engineering, 7, 1, 45-70, 1995.
  28. A. Levy, S. Sorek, G. Ben-Dor, and J. Bear, Evolution of the balance equations in saturated thermoelastic porous media following abrupt simultaneous changes in pressure and Temperature, Transport in Porous Media, 21, 241-268, 1995.
  29. A. Levy, S. Sorek, G. Ben-Dor and B. Skews, Wave Propagation in Saturated Rigid Porous Media : Analytical Model and Comparison with Experimental Results, Fluid Dynamics Research, 17, 49-65, 1996.
  30. S. Sorek, A model for solute transport following an abrupt pressure impact in saturated porous media, Transport in Porous Media, 22, 271-285, 1996.
  31. A. Krylov, S. Sorek, A. Levy and G. Ben-Dor, Simple Waves in Saturated Porous Media: 1. The Isothermal Case, JSME Inter. J. Series B, 39, 2, 294-298, 1996.
  32. S. Sorek, A. Krylov, A. Levy and G. Ben-Dor, Simple Waves in Saturated Porous Media: 2. The Nonisothermal Case, JSME Inter. J. Series B, 39, 2, 299-304, 1996.
  33. A. Levy, G. Ben-Dor and S. Sorek, Numerical Investigation of the Propagation of Shock Waves in Rigid Materials: Development of the Computer Code and Comparison with Experimental Results, Journal of Fluid Mechanics, 324, 163-179, 1996.
  34. D. M. J. Smeulders,  S. Sorek and M. E. H. van Dongen,  Comments on Acoustic wave propagation through porous media revisited,  J. Acoust. Soc. Am. 100, 2949-2959, 1996.
  35. A. Yakirevich, P. Berliner, and S. Sorek, A model for numerical simulations of evaporation from bare saline soil, Water Resources Research, 33, 5, 1021-1033, 1997.
  36. G. Ben-Dor, A. Levy and S. Sorek, Numerical Investigation of the Propagation of Shock Waves in Rigid Porous Materials - Solution of the Riemann Problem, Numerical Methods for heat & fluid flow, 7, 8, 801-813, 1997.
  37. J. Bear, S. Sorek, and V. Borisov, On the Eulerian-Lagrangian Formulation of Balance Equations in Porous Media, Numerical Methods for Partial Differential Equations, 13, 5, 505-530, 1997.
  38. A. Levy, G. Ben-Dor and S. Sorek, Numerical Investigation of the Propagation of Shock Waves in Rigid Porous Materials: Flow Field Behavior and Parametric Study,  Shock Waves, 8, 127-137, 1998.
  39. A. Yakirevich, V. Borisov and S. Sorek, A quasi three dimensional model for flow and transport in unsaturated and saturated zones: I. Implementation of the quasi two dimensional case, Advances in Water Resources, 21, 8, 679-689, 1998.
  40. A. Yakirevich, A. Melloul,  S. Sorek, S. Shaath, and V. Borisov, Simulation of seawater intrusion into the Khan Yunis area of the Gaza Strip coastal aquifer, Hydrogeology Journal, 6, 549-559, 1998.
  41. S. Sorek, A. Levy, G. Ben-Dor, and D. Smeulders, Contributions to Theoretical/Experimental Developments in Shock Waves Propagation in Porous Media, Transport in Porous Media, 34, 63-100, 1999.
  42. A. Levy, D. Levi-Hevroni, S. Sorek and G. Ben-Dor, Derivation of Forchheimer Terms and their Verification by Application to Waves Propagation in Porous Media, Inter. J. Multi-Phase Flow,  25, 683-704, 1999.
  43. S. Sorek, V. Borisov and A. Yakirevich,  Numerical modeling of coupled hydrological phenomena using the Modified Eulerian--Lagrangian method, Theory, Modeling and Field Investigation in Hydrogeology: A Special Volume in Honor of Shlomo P. Neuman's 60th Birthday, edited by D. Zhang and C.L. Winter, Geological Society of America,  Special
    Paper 348, 151-160, 2000.
  44. S. Sorek, V. Borisov and A. Yakirevich, A Two-Dimensional Areal Model for Density Dependent Flow Regime, Transport in Porous Media 43, 87--105, 2001.
  45. D. Levi-Hevroni, A. Levy,  G. Ben-Dor,  and  S. Sorek,  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.
  46. 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.

-         The findings and ideas of this paper were presented as a report by Phillip Ball, Shock may clean up aquifers, “Nature Science Updates” (www.nature.com/nsu/), Nature news Service/Macmillan Magazines Ltd., 7th October 2003.

  1. V. Borisov and S. Sorek, On monotony of difference schemes for computational physics, SIAM J. Sci. Comput., 25, 5, 1557-1584, 2004.
  2. 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.
  3. 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.
  4. 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 (Eds. G. Nutzmann, P. Viotti and P. Aagaard), Springer Verlag, 171-185, 2005.
  5. D. Ronen and S. Sorek, The unsaturated zone - a neglected component of nature, Reactive Transport in Soils and Groundwater (Eds. G. Nutzmann, P. Viotti and P. Aagaard), Springer Verlag, 3-15, 2005.
  6. E. Holzbecher and S. Sorek, Numerical Models of Groundwater Flow and Transport, Part 13, Encyclopedia of Hydrological Sciences, John Wiley & Sons Ltd., Vol. 4, Art. 155, 2001-2144, 2005.
  7. 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, (in press).

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