Introduction to modeling of transport phenomena in porous media

Book · Mon Jan 01 04:00:00 EST 1990

OSTI ID:5051394

Bear, J; Bachmat, Y

The main objective of the book is to present a methodology for constructing mathematical models of transport problems in a porous medium domain on the basis of the continuum approach. The book is divided into two parts: Part A, consisting of three chapters, presents the general theory of modeling transport phenomena in a porous medium domain. The first chapter presents the continuum approach, defines microscopic and macroscopic levels of description, introduces the concept of spatial averaging and defines some macroscopic characteristics of porous media and their constituents. Chapter 2 continues to develop this approach by presenting a description of transport phenomena at the microscopic level, and by deriving averaging rules for transforming the microscopic level of description of any transport problem to a macroscopic one, in which all state variables and parameters are macroscopic quantities. The various laws that govern the macroscopic fluxes of extensive quantities in a porous medium domain, are also derived. Thermodynamic concepts and quantities are introduced whenever necessary. Finally, by adding macroscopic initial and boundary conditions, a complete mathematical statement, or mathematical model, for any transport problem at the macroscopic level of description is obtained. This is discussed in Chapter 3. In Part B, the general theory presented in Part A is applied to specific problems of transport of mass and volume of a phase, mass of a component and heat in single and multiphase fluid systems in a porous medium domain. The appropriate models are developed at the macroscopic level.

• OSTI ID: 5051394
• Country of Publication: United States
• Language: English

Related Subjects

54 ENVIRONMENTAL SCIENCES
540320* -- Environment
Aquatic-- Chemicals Monitoring & Transport-- (1990-)
ENVIRONMENTAL TRANSPORT
GROUND WATER
HYDROGEN COMPOUNDS
MASS TRANSFER
MATERIALS
MATHEMATICAL MODELS
OXYGEN COMPOUNDS
POLLUTION
POROUS MATERIALS
THERMODYNAMICS
WATER
WATER POLLUTION