Recent Advances in Problems of Flow and Transport in Porous Media

1. Front Matter

   Pages i-xi

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2. Mathematical methods

   1. Front Matter

      Pages 1-1

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   2. Convergence of a Finite Volume Scheme for a Parabolic Degenerate Equation

      • R. Eymard, T. Gallouët, D. Hilhorst, Y. Naït Slimane

      Pages 3-11

   3. Error Estimate for the Finite Volume Approximate of the Solution to a Nonlinear Convective Equation

      • R. Eymard, T. Gallouët, M. Ghilani, R. Herbin

      Pages 13-24

   4. An Error Estimate for the Approximate Solution of a Porous Media Diphasic Flow Equation

      • M. Ghilani

      Pages 25-30

   5. An Analogue of Schwartz’s Method for the Construction of the Green Function of the Zaremba Problem and Its Application in Underground Hydrodynamics

      • A. I. Ibragimov, A. A. Nekrasov

      Pages 31-41

3. New approaches

   1. Front Matter

      Pages 43-43

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   2. Size and Double-Layer Effects on the Macroscopic Behavior of Clays

      • Bogdan Vernescu

      Pages 45-58

   3. Parameter’s Sensitivity in Water Storage Modelling for Unsaturated Soils

      • K. Benhalima, A. Benhammou, E. K. Lakhal, B. Dahhou

      Pages 59-75

   4. Mathematical Investigation for Groundwater Pollution

      • M. El Hatri

      Pages 77-87

   5. Solution of Degenerate Parabolic Problems by Relaxation Schemes

      • J. Kačur

      Pages 89-98

4. Mass transport and heat transfer

   1. Front Matter

      Pages 99-99

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   2. Transport in Saturated Porous Media

      • C. Oltean, M. A. Buès

      Pages 101-115

   3. Perfection of the Simulation of Freshwater / Saltwater Interface Motion

      • D. Esselaoui, Y. Loukili, A. Bourgeat

      Pages 117-129

   4. Numerical Dispersivity in Modelling of Saltwater Intrusion into a Coastal Aquifer

      • J. M. Crolet, F. Jacob

      Pages 131-142

   5. Theoretical Study and Experimental Validation of Transport Coefficients for Hydrocarbon Pollutants in Aquifers

      • G. Radilla, A. Aigueperse, M. Quintard, H. Bertin

      Pages 143-152

   6. Heat and Mass Transfer in Cylindrical Porous Medium of Activated Carbon and Ammonia

      • A. Mimet, J. Bougard

      Pages 153-163

   7. Transient Natural Convection in a Square Porous Cavity Submitted to Different Time-Dependent Heating Modes

      • T. Daoui, M. Hasnaoui, A. Amahmid

      Pages 165-176

5. Multiphase studies

   1. Front Matter

      Pages 177-177

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   2. Adaptive Mesh for Two-Phase Flow in Porous Media

      • M. Saad, H. Zhang

      Pages 179-193

Porous media, and especially phenomena of transport in such materials, are an impor1ant field of interest for geologists, hydrogeologists, researchers in soil and fluid mechanics, petroleum and chemical engineers, physicists and scientists in many other disciplines. The development of better numerical simulation techniques in combination with the enormous expansion of computer tools, have enabled numerical simulation of transport phenomena (mass of phases and components, energy etc. ) in porous domains of interest. Before any practical application of the results of such simulations can be used, it is essential that the simulation models have been proven to be valid. In order to establish the greatest possible coherence between the models and the physical reality, frequent interaction between numericians, mathematicians and the previously quoted researchers, is necessary. Once this coherence is established, the numerical simulations could be used to predict various phenomena such as water management, propagation of pollutants etc. These simulations could be, in many cases, the only financially acceptable tool to carry out an investigation. Current studies within various fields of applications include not only physical comprehension aspects of flow and energy or solute transport in saturated or unsaturated media but also numerical aspects in deriving strong complex equations. Among the various fields of applications generally two types of problems can be observed. Those associated with the pollution of the environment and those linked to water management. The former are essentially a problem in industrialized countries, the latter are a major source of concern in North-Africa.

• contaminant
• groundwater
• hydrodynamics
• model
• modeling
• simulation
• air pollution and air quality
• hydrogeology

• University of Franche-Comté, Besançon, France

  J. M. Crolet

• University Sidi Mohamed Ben Abdellah, Fès, Morocco

  M. Hatri

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