Introduction to Modeling of Transport Phenomena in Porous Media

1. Front Matter

   Pages i-xxiv

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2. General Theory

   1. Front Matter

      Pages 1-1

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   2. The Porous Medium

      • Jacob Bear, Yehuda Bachmat

      Pages 3-42

   3. Macroscopic Description of Transport Phenomena in Porous Media

      • Jacob Bear, Yehuda Bachmat

      Pages 43-262

   4. Mathematical Statement of a Transport Problem

      • Jacob Bear, Yehuda Bachmat

      Pages 263-286

3. Application

   1. Front Matter

      Pages 287-287

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   2. Mass Transport of a Single Fluid Phase Under Isothermal Conditions

      • Jacob Bear, Yehuda Bachmat

      Pages 289-326

   3. Mass Transport of Multiple Fluid Phases Under Isothermal Conditions

      • Jacob Bear, Yehuda Bachmat

      Pages 327-398

   4. Transport of a Component in a Fluid Phase Under Isothermal Conditions

      • Jacob Bear, Yehuda Bachmat

      Pages 399-448

   5. Heat and Mass Transport

      • Jacob Bear, Yehuda Bachmat

      Pages 449-480

   6. Hydraulic Approach to Transport in Aquifers

      • Jacob Bear, Yehuda Bachmat

      Pages 481-516

4. Back Matter

   Pages 517-553

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The main purpose of this book is to provide the theoretical background to engineers and scientists engaged in modeling transport phenomena in porous media, in connection with various engineering projects, and to serve as a text for senior and graduate courses on transport phenomena in porous media. Such courses are taught in various disciplines, e. g. , civil engineering, chemical engineering, reservoir engineering, agricultural engineering and soil science. In these disciplines, problems are encountered in which various extensive quantities, e. g. , mass and heat, are transported through a porous material domain. Often the porous material contains several fluid phases, and the various extensive quantities are transported simultaneously throughout the multiphase system. In all these disciplines, management decisions related to a system's development and its operation have to be made. To do so, the 'manager', or the planner, needs a tool that will enable him to forecast the response of the system to the implementation of proposed management schemes. This forecast takes the form of spatial and temporal distributions of variables that describe the future state of the considered system. Pressure, stress, strain, density, velocity, solute concentration, temperature, etc. , for each phase in the system, and sometime for a component of a phase, may serve as examples of state variables. The tool that enables the required predictions is the model. A model may be defined as a simplified version of the real (porous medium) system that approximately simulates the excitation-response relations of the latter.

• civil engineering
• classification
• matrix
• modeling
• soil science
• hydrogeology
• terrestrial pollution

• Albert and Anne Mansfield Chair in Water Resources, Department of Civil Engineering, Technion — Israel Institute of Technology, Haifa, Israel

  Jacob Bear

• Hydrological Service, Ministry of Agriculture, Jerusalem, Israel

  Yehuda Bachmat

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