Modeling the elastic properties of concrete composites: Experiment, differential effective medium theory, and numerical simulation

2007 ◽  
Vol 29 (1) ◽  
pp. 22-38 ◽  
Author(s):  
Zhihui Sun ◽  
Edward J. Garboczi ◽  
Surendra P. Shah
Keyword(s):  
Numerical Simulation ◽  
Elastic Properties ◽  
Effective Medium Theory ◽  
Effective Medium ◽  
Medium Theory

scholarly journals Elastic properties of hydrate-bearing sediments using effective medium theory

2000 ◽  
Vol 105 (B1) ◽  
pp. 561-577 ◽  
Author(s):  
Morten Jakobsen ◽  
John A. Hudson ◽  
Tim A. Minshull ◽  
Satish C. Singh
Keyword(s):  
Elastic Properties ◽  
Effective Medium Theory ◽  
Effective Medium ◽  
Medium Theory ◽  
Hydrate Bearing Sediments

Numerical simulation of methane plumes based on effective medium theory

2015 ◽  
Vol 8 (11) ◽  
pp. 9089-9100 ◽  
Author(s):  
Jiachun You ◽  
Canping Li ◽  
Lifang Cheng ◽  
Xuewei Liu ◽  
Muhammad irfan Ehsan
Keyword(s):  
Numerical Simulation ◽  
Effective Medium Theory ◽  
Effective Medium ◽  
Medium Theory

Biot–Gassmann theory for velocities of gas hydrate‐bearing sediments

Geophysics ◽  
2002 ◽  
Vol 67 (6) ◽  
pp. 1711-1719 ◽  
Author(s):  
Myung W. Lee
Keyword(s):  
Elastic Properties ◽  
Gas Hydrate ◽  
Effective Medium Theory ◽  
Velocity Ratio ◽  
Effective Medium ◽  
Unconsolidated Sediments ◽  
Medium Theory ◽  
Velocity Models ◽  
Time Average ◽  
Hydrate Bearing Sediments

Elevated elastic velocities are a distinct physical property of gas hydrate‐bearing sediments. A number of velocity models and equations (e.g., pore‐filling model, cementation model, effective medium theories, weighted equations, and time‐average equations) have been used to describe this effect. In particular, the weighted equation and effective medium theory predict reasonably well the elastic properties of unconsolidated gas hydrate‐bearing sediments. A weakness of the weighted equation is its use of the empirical relationship of the time‐average equation as one element of the equation. One drawback of the effective medium theory is its prediction of unreasonably higher shear‐wave velocity at high porosities, so that the predicted velocity ratio does not agree well with the observed velocity ratio. To overcome these weaknesses, a method is proposed, based on Biot–Gassmann theories and assuming the formation velocity ratio (shear to compressional velocity) of an unconsolidated sediment is related to the velocity ratio of the matrix material of the formation and its porosity. Using the Biot coefficient calculated from either the weighted equation or from the effective medium theory, the proposed method accurately predicts the elastic properties of unconsolidated sediments with or without gas hydrate concentration. This method was applied to the observed velocities at the Mallik 2L‐39 well, Mackenzie Delta, Canada.

scholarly journals Effective Medium Theory for the Elastic Properties of Composite Materials with Various Percolation Thresholds

Materials ◽  
2020 ◽  
Vol 13 (5) ◽  
pp. 1243 ◽  
Author(s):  
Andrei A. Snarskii ◽  
Mikhail Shamonin ◽  
Pavel Yuskevich
Keyword(s):  
Composite Materials ◽  
Elastic Properties ◽  
Effective Conductivity ◽  
Effective Medium Theory ◽  
Effective Medium ◽  
Effective Parameters ◽  
Two Phase ◽  
Medium Theory ◽  
Percolation Thresholds ◽  
Conductive Properties

It is discussed that the classical effective medium theory for the elastic properties of random heterogeneous materials is not congruous with the effective medium theory for the electrical conductivity. In particular, when describing the elastic and electro-conductive properties of a strongly inhomogeneous two-phase composite material, the steep rise of effective parameters occurs at different concentrations. To achieve the logical concordance between the cross-property relations, a modification of the effective medium theory of the elastic properties is introduced. It is shown that the qualitative conclusions of the theory do not change, while a possibility of describing a broader class of composite materials with various percolation thresholds arises. It is determined under what conditions there is an elasticity theory analogue of the Dykhne formula for the effective conductivity. The theoretical results are supported by known experiments and show improvement over the existing approach. The introduction of the theory with the variable percolation threshold paves the way for describing the magnetorheological properties of magnetoactive elastomers. A similar approach has been recently used for the description of magneto-dielectric and magnetic properties.

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