scholarly journals Erratum: “Highlights in the Historical Development of the Porous Media Theory: Toward a Consistent Macroscopic Theory” [Applied Mechanics Reviews, 1996, 49(4), pp. 201–262]

1996 ◽  
Vol 49 (10) ◽  
pp. J1559-J1559
Author(s):  
R. de Boer
Keyword(s):  
Porous Media ◽  
Historical Development ◽  
Media Theory ◽  
Applied Mechanics ◽  
Macroscopic Theory ◽  
Porous Media Theory

Contemporary Progress in Porous Media Theory

2000 ◽  
Vol 53 (12) ◽  
pp. 323-370 ◽  
Author(s):  
Reint de Boer
Keyword(s):  
Porous Media ◽  
Historical Development ◽  
Chemical Engineering ◽  
Volume Fraction ◽  
Soil Mechanics ◽  
Petroleum Industry ◽  
Entropy Inequality ◽  
Media Theory ◽  
Soil Physics ◽  
Porous Media Theory

In the last decade and, in particular in recent years, the macroscopic porous media theory has made decisive progress concerning the fundamentals of the theory and the development of mathematical models in various fields of engineering and biomechanics. This progress attracted some attention and therefore conferences (colloquia, symposia, etc) devoted almost exclusively to the macroscopic porous media theory have been organized in the last three years in Cambridge, United Kingdom (1996), Prague, the Czech Republic (1997), Essen, Germany (1997), Metz, France (1999), Stuttgart, Germany (1999) and Chicago, USA (2000) in order to collect all findings, to present new results, and to discuss new trends. Also in national and international journals a great number of important contributions have been published which has brought the porous media theory, in some parts, to a close. Therefore, the time seems to be ripe to review the state of the art. The Introduction is devoted to the historical development up to the end of the 1980s and the beginning of the 1990s (readers interested in an extended description of the historical development of the porous media theory are referred to de Boer, 2000). The volume fraction concept is formulated in Section 2. An extensive review of the kinematics in porous media theory is presented in Section 3. The balance equations and the entropy inequality are discussed in Sections 4 and 5. Section 6 is devoted to the investigation of the closure problem and the saturation condition. The constitutive theory with the description of elastic, elastic-plastic, and viscous states of the porous solid as well as some reflexions on the constitutive behavior of the pore fluids are represented in Section 7. Finally, some applications of the porous media theory in various fields (soil mechanics, chemical engineering, biomechanics and building physics as well as in environmental mechanics, soil physics, the petroleum industry, and material science) will demonstrate the usefulness of the macroscopic porous media theory. This review article contains 209 references.

Highlights in the Historical Development of the Porous Media Theory: Toward a Consistent Macroscopic Theory

1996 ◽  
Vol 49 (4) ◽  
pp. 201-262 ◽  
Author(s):  
Reint de Boer
Keyword(s):  
Porous Media ◽  
Soil Mechanics ◽  
Earth Pressure ◽  
Mixture Theory ◽  
Media Theory ◽  
Porous Solids ◽  
Macroscopic Theory ◽  
Theory Of Porous Media ◽  
Volume Fractions ◽  
Porous Media Theory

First contributions to the theory of porous media were made by R Woltman in 1794 when he independently developed a more sophisticated earth pressure theory than C Coulomb, and surprisingly in another context introduced the concept of volume fractions. In the last century, further important contributions were published by A Delesse, A Fick, H Darcy, and J Stefan on the concept of surface fractions, the diffusion problem, ground-water flow, and the mixture theory, which are essential parts of the theory of porous media. In the twentieth century, the scientific discussion on porous media theories was opened by P Fillunger in 1913 in a paper about the uplift problem in saturated rigid porous solids. In subsequent articles, he investigated the phenomena of friction and capillarity and discovered the effect of effective stresses. In 1923, K von Terzaghi, founder of modern soil mechanics, started his investigations on saturated deformable porous solids within the framework of the calculation of the permeability coefficient of clay. In 1936, Fillunger founded the concept of the mechancial theory of liquid-saturated deformable porous solids. However, his substantial masterpiece was completely forgotten and ignored. The reason for this may lie in the fact that in the 1930’s deep hostility arose between Fillunger and von Terzaghi due to different scientific views on the porous media theory and soil mechanics, leading to a large controversy which ended very tragically. The works of von Terzaghi and Fillunger were continued by M Biot, G Heinrich, and I Frenkel in the next decades. Today, two important directions of the macroscopic porous media theory are commonly acknowledged. The first one is based on investigations by M Biot, and the second one proceeds from the mixture theory, restricted by the concept of volume fractions (porous media theory). In particular, the porous media theory has turned out to be an efficient tool to treat saturated and empty porous solids.

The application of porous-media theory to the investigation of time-dependent diffusion inin vivo systems

1995 ◽  
Vol 8 (7) ◽  
pp. 297-306 ◽  
Author(s):  
Karl G. Helmer ◽  
Bernard J. Dardzinski ◽  
Christopher H. Sotak
Keyword(s):  
Porous Media ◽  
Media Theory ◽  
Time Dependent ◽  
Porous Media Theory

A porous media theory for characterization of membrane blood oxygenation devices

2013 ◽  
Vol 49 (7) ◽  
pp. 973-984 ◽  
Author(s):  
Yoshihiko Sano ◽  
Jun Adachi ◽  
Akira Nakayama
Keyword(s):  
Porous Media ◽  
Blood Oxygenation ◽  
Media Theory ◽  
Porous Media Theory
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