Experimental and Theoretical Study of Frequency and Temperature Dependence on Seismic Attenuation of Saturated Rocks

2006 ◽  
pp. 1149-1152
Author(s):  
Xiao Yan Liu ◽  
Cheng Yuan Zhang ◽  
Dao Ying Xi ◽  
Quan Sheng Liu
Keyword(s):  
Temperature Dependence ◽  
Theoretical Study ◽  
Seismic Attenuation

Theoretical study of temperature dependence and Rayleigh scattering properties of chloride hydration clusters

2014 ◽  
Vol 16 (36) ◽  
pp. 19241 ◽  
Author(s):  
Shuai Jiang ◽  
Teng Huang ◽  
Yi-Rong Liu ◽  
Kang-Ming Xu ◽  
Yang Zhang ◽  
...  
Keyword(s):  
Temperature Dependence ◽  
Rayleigh Scattering ◽  
Theoretical Study

ON THE TEMPERATURE DEPENDENCE OF PARAMAGNETIC RESONANCE IN THE CASE OF THE ISING MODEL

1961 ◽  
Vol 39 (12) ◽  
pp. 1733-1737 ◽  
Author(s):  
Y. Y. Lee
Keyword(s):  
Ising Model ◽  
Temperature Dependence ◽  
Approximation Method ◽  
Line Shape ◽  
Theoretical Study ◽  
Shape Function ◽  
Paramagnetic Resonance ◽  
One Dimensional ◽  
The One ◽  
Line Shape Function

The adequacy of the approximation method used by McMillan and Opechowski in their theoretical study of the temperature dependence of the paramagnetic resonance line shape function is very difficult to ascertain for the case of a typical paramagnetic crystal. For this reason the approximation method has been investigated for the very simple case of the one-dimensional Ising model. Exact expressions for the line shape function of the model are compared with expressions obtained by the approximation method mentioned above. The agreement between the two expressions is found to be very good in general, and extremely good at very low temperatures.

A theoretical study on anomalous temperature dependence of pKw of water

2005 ◽  
Vol 122 (14) ◽  
pp. 144504 ◽  
Author(s):  
Takuma Yagasaki ◽  
Kensuke Iwahashi ◽  
Shinji Saito ◽  
Iwao Ohmine
Keyword(s):  
Temperature Dependence ◽  
Theoretical Study ◽  
Anomalous Temperature Dependence ◽  
Anomalous Temperature

Analysis and Prediction of Damping Properties of Multi-Layered Organic Hybrid Materials Consisting of Polarized Polymers and Small Molecules

2012 ◽  
Vol 535-537 ◽  
pp. 1197-1200
Author(s):  
Xin Bo Ding ◽  
Tao Liu ◽  
Yan Hui Zhang ◽  
Jian Han
Keyword(s):  
Temperature Dependence ◽  
Small Molecules ◽  
Hybrid Materials ◽  
Theoretical Study ◽  
Correspondence Principle ◽  
Damping Properties ◽  
Transition Range ◽  
New Approach ◽  
Organic Hybrid ◽  
Damping Materials

A theoretical study on damping properties of multi-layered hybrid materials was presented with the aim to obtain good damping materials with a broad and high damping range. The value of the multi-layered organic hybrid materials consisting of polarized polymers and small molecules was evaluated via the correspondence principle. Similarly, the damping properties of the multi-layered organic hybrid materials were predicted according to our previous work. With increasing the number of the layers of multi-layered hybrids, the temperature dependence of could be improved and it was almost rectangular transition range with values for the area under the linear curve. Therefore, it could be considered to be a new approach to improve the temperature dependence of the damping materials and obtain good damping materials with a broad and high damping range.

Experimental and Theoretical Study of Frequency and Temperature Dependence on Seismic Attenuation of Saturated Rocks

2006 ◽  
Vol 326-328 ◽  
pp. 1149-1152
Author(s):  
Xiao Yan Liu ◽  
Cheng Yuan Zhang ◽  
Dao Ying Xi ◽  
Quan Sheng Liu
Keyword(s):  
Temperature Dependence ◽  
Apparent Viscosity ◽  
Seismic Waves ◽  
Seismic Energy ◽  
Seismic Attenuation ◽  
Pore Fluid ◽  
Theoretical Research ◽  
Biot Theory ◽  
Fluid Viscosity ◽  
Seismic Properties

Most rocks are saturated or partly saturated with different fluids under different depth, temperature and pressure conditions. It is generally acknowledged that fluids have the most important effect on the attenuation and dispersion of seismic waves. There exists a relation between frequency- and temperature- dependence on rock’s seismic properties. It is not yet clear in literature whether there exist other equally important attenuation mechanisms as that in Biot’s model, since there are other sources of dissipation, also related to fluids, that are not considered in Biot theory but that may also contribute to the overall dissipation of seismic energy. Identifying the precise relaxation mechanisms is still the subject of experimental and theoretical research. In this article, a series of experiments are conducted on dry and saturated rocks (sandstone, marble, granite) at different temperatures and frequencies to find the attenuation mechanism of interaction between rock skeleton and pore-fluid. Fluid viscosity generally depends on temperature, so the effect of pore fluid on attenuation is confirmed in terms of apparent viscosity variation of rock caused by the change of pore-fluid conditions (such as frequency or temperature). Based on our experimental data, we develop a new model of macroscopic apparent viscosity in saturated rock which is consistent with the nonlinear relaxation law. It helps to derive the analytical expressions to compute velocity dispersion and attenuation as functions of frequency and temperature.

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