Fundamentals of Transport Phenomena in Porous Media (Nato Science Series E:, 82)

This volume contains the lectures presented at the NATO Advanced Study Institute that took place at the University of Delaware, Newark, Delaware, July 18-27, 1982. The purpose of this Institute was to provide an international forum for exchange of ideas and dissemination of knowledge on some selected topics in Mechanics of Fluids in Porous Media. Processes of transport of such extensive quantities as mass of a phase, mass of a component of a phase, momentum and/or heat occur in diversified fields, such as petroleum reservoir engineer­ ing, groundwater hydraulics, soil mechanics, industrial filtration, water purification, wastewater treatment, soil drainage and irri­ gation, and geothermal energy production. In all these areas, scientists, engineers and planners make use of mathematical models that describe the relevant transport processes that occur within porous medium domains, and enable the forecasting of the future state of the latter in response to planned activities. The mathe­ matical models, in turn, are based on the understanding of phenomena, often within the void space, and on theories that re­ late these phenomena to measurable quantities. Because of the pressing needs in areas of practical interest, such as the develop­ ment of groundwater resources, the control and abatement of groundwater contamination, underground energy storage and geo­ thermal energy production, a vast amount of research efforts in all these fields has contributed, especially in the last t~o decades, to our understanding and ability to describe transport phenomena. Front Matter....Pages i-x Front Matter....Pages 1-1 Transport Phenomena in Porous Media — Basic Equations....Pages 3-61 Porous Media Model Formulations by the Theory of Mixtures....Pages 63-119 Heat and Mass Transfer in Porous Media....Pages 121-198 A New Look at Porous Media Fluid Mechanics — Darcy to Turbulent....Pages 199-256 Infiltration in Unsaturated Soils....Pages 257-313 Well Hydraulics in Heterogeneous Porous Media....Pages 315-346 Front Matter....Pages 347-347 The Theory of Consolidation....Pages 349-368 Land Subsidence — A. A State-of-the-Art Review....Pages 369-444 Land Subsidence — B. A Regional Mathematical Model for Land Subsidence due to Pumping....Pages 445-497 Anelastic Deformation of Porous Media....Pages 499-524 Consolidation of Unsaturated Porous Media....Pages 525-578 Determination of Material Parameters of Poroelastic Media....Pages 579-615 A Bibliography of Consolidation....Pages 617-669 Front Matter....Pages 671-671 Stochastic Analysis of Flow in Heterogeneous Porous Media....Pages 673-717 Spatial Variability of Properties in Porous Media: A Stochastic Approach....Pages 719-769 Front Matter....Pages 771-771 Formulation of Numerical Equations....Pages 773-804 The Finite Element Method in Porous Media Flow....Pages 805-897 Comparison of Finite Difference and Finite Element Methods....Pages 899-952 The Conjugate Gradients in Subsurface Flow and Land Subsidence Modelling....Pages 953-984 Back Matter....Pages 985-1003