Permeability calculation in composite media with low filler concentration: A new method of effective media theory application

2009 ◽  
Vol 105 (7) ◽  
pp. 07A526 ◽  
Author(s):  
J. T. Jiang ◽  
L. Zhen ◽  
X. J. Wei ◽  
Y. X. Gong ◽  
W. Z. Shao ◽  
...  
Keyword(s):  
Media Theory ◽  
New Method ◽  
Filler Concentration ◽  
Composite Media ◽  
Effective Media ◽  
Effective Media Theory ◽  
Theory Application

scholarly journals Effective media theory with spatial correlation for flow in a fracture

1997 ◽  
Vol 102 (B10) ◽  
pp. 22587-22594 ◽  
Author(s):  
Joseph B. Walsh ◽  
Stephen R. Brown ◽  
William B. Durham
Keyword(s):  
Spatial Correlation ◽  
Media Theory ◽  
Effective Media ◽  
Effective Media Theory

Analysis of Thermal Conductivity of Lime Plaster with Pozzolanic Addition by Different Homogenization Techniques

2014 ◽  
Vol 982 ◽  
pp. 1-5
Author(s):  
Jan Fořt ◽  
Lukáš Fiala ◽  
Milena Pavlíková ◽  
Zbyšek Pavlík ◽  
Robert Černý
Keyword(s):  
Thermal Conductivity ◽  
Pulse Method ◽  
Measured Data ◽  
Media Theory ◽  
Practical Applications ◽  
Effective Media ◽  
Effective Media Theory ◽  
Lime Plaster ◽  
Water Saturated

Thermal conductivity of lime-pozzolan plaster is analyzed in the paper. At first, determination of basic physical properties of tested material is done for its basic characterization, as well as for the assessment of input parameters in the subsequent analysis of measured data by different homogenization techniques. The measurements of thermal conductivity are performed in dependence on moisture content from the dry state to the fully water saturated state using transient pulse method. Among the homogenization techniques based on effective media theory, Lichtenecker’s and Dobson’s models are used. The measured data presented in this paper can find utilization in practical applications of the studied plaster. The analyzed homogenization techniques are found to be applicable for a rapid evaluation of moisture dependent thermal conductivity.

High Permeability of Z-Type Ferrite Sheets Directional Array

2017 ◽  
Vol 898 ◽  
pp. 1645-1648
Author(s):  
Shi Bing Pan ◽  
Cheng Jun Zhang ◽  
Hai Kun Wu ◽  
Lei Qian ◽  
Ming Xun Yu ◽  
...  
Keyword(s):  
Magnetic Properties ◽  
Magnetic Permeability ◽  
Chemical Precipitation ◽  
Media Theory ◽  
Precipitation Method ◽  
Intrinsic Permeability ◽  
High Permeability ◽  
Effective Media ◽  
Specific Direction ◽  
Effective Media Theory

Z-type ferrite sheets were prepared by chemical precipitation method to investigate influences of directional arrays from the Z-type ferrite sheets on magnetic properties. The permeability of the ferrite directional arrays was obviously improved in the specific direction. Assuming that the intrinsic permeability of Z-type ferrite was existed, the magnetic permeability in array was calculated by the Maxwell-Garnett equation of effective media theory. The reason for the large difference between the theoretical calculation and measured value was also discussed.

Effective elasticity of rocks with closely spaced and intersecting cracks

Geophysics ◽  
2006 ◽  
Vol 71 (3) ◽  
pp. D85-D91 ◽  
Author(s):  
Vladimir Grechka ◽  
Mark Kachanov
Keyword(s):  
Entire Range ◽  
Rock Specimen ◽  
Local Stress ◽  
Media Theory ◽  
Stress Fields ◽  
Strong Interactions ◽  
Fracture Characterization ◽  
Effective Media ◽  
Effective Media Theory ◽  
Effective Elasticity

The noninteraction approximation (NIA) is the simplest effective media theory that describes the overall elasticity of fractured rocks. If the NIA is used for fracture characterization, its accuracy and the range of applicability must be estimated. We do it by performing a series of 3D finite element simulations of effective elasticity for models that contain several sets of fractures embedded in otherwise isotropic host rock. We intentionally place the cracks close to each other to create strong interactions in their local stress fields. In addition, we allow the cracks to intersect in such a way that they do not break a rock specimen apart. Perhaps surprisingly, we find that fracture interactions and intersections have little influence on the effective elasticity, and the NIA performs well in all cases. While it has a tendency to slightly underestimate the effective stiffnesses, the incurred errors are small; their typical magnitudes are just a few percent in the entire range of the crack densities expected in naturally fractured formations. In our view, this makes the noninteraction approximation the method of choice for fracture characterization.

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